The solution of the given differential equation is = y=2x2. on initial value problem y(1)=2.
A differential equation in mathematics is an equation that includes one or more functions and their derivatives. The rate of change of a function at a point is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others. Studying equation-satisfying solutions and the solutions' characteristics is the main goal of differential equations.
differential equations have several applications in different fields such as applied mathematics, science, and engineering. Apart from the technical applications, they are also used in solving many real life problems. Let us see some differential equation applications in real-time.
1) Differential equations describe various exponential growths and decays.
2) They are also used to describe the change in return on investment over time.
3) They are used in the field of medical science for modelling cancer growth or the spread of disease in the body.
4) Movement of electricity can also be described with the help of it.
5) They help economists in finding optimum investment strategies.
The given differential equation is -
[tex]x\frac{dy}{dx}=2y , IVP\ is\ y(1)=2,[/tex]
we can solve it by variable separable,
[tex]\int \frac{dy}{2y}=\int \frac{dx}{x}\\\\0.5logy=logx+logc\\y={xc}^2\\y(1)=2\\2=1c^2\\c=\sqrt2\\\\the\ solution\ of D.E \ is\-\\y=2x^2[/tex]
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The pread of a flu viru through a certain population i modeled by y=500/1990e^-. 5(t) where y i the total number of people infected after t day. In how many day will 125 people be infected with the viru?
ln t = 145.69 days day will 125 people be infected with the virus (500/125)/-.005 = t
How many days will it take for 125 people to contract the virus?This question uses the theory of exponential growth and decay.
The equation y=500/1990e^-. 5(t) models the spread of a flu virus through a population, where y is the total number of people infected after t days.
The equation follows an exponential decay curve, where the number of people infected decreases with each passing day. In this case, the rate of decay is -.005.
given below
Step 1: Rearrange the equation to isolate t.
y = 500/1990e^-.005(t)
500/y = 1990e^-.005(t)
500/y = e^-.005(t)
ln(500/y) = -.005(t)
Step 2: Substitute the given values of y (125) and solve for t.
ln(500/125) = -.005(t)
ln(500/125)/-.005 = t
t = 145.69 days
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x is gamma, what is cx
"cX" is a function that takes two inputs and returns a scalar result and the value of "cX" depends on the values of the scalar "c" and the constant X.
Gamma (Γ) is a mathematical constant that is used in various areas of mathematics, including probability theory, statistics, and engineering.
The symbol "c" is a constant that represents a scalar multiplier in mathematics. This means that when you multiply a value by "c", you are multiplying it by a constant number. In this case, when we say "cX", we are multiplying the value of X (which is gamma) by the constant "c".
So, in mathematical terms, the expression "cX" can be defined as a function that takes a scalar value (c) and a constant value (X = gamma) as inputs, and returns a scalar result. This function can be used to determine the value of "cX" for a given value of "c".
It is important to note that the value of "cX" depends on the value of the scalar "c". For example, if "c" is equal to 2, then "cX" would be equal to 2 times the value of gamma.
On the other hand, if "c" is equal to 0.5, then "cX" would be equal to 0.5 times the value of gamma.
Complete Question:
Show that if X is gamma distributed and c(> 0) is a constant, then cX is gamma distributed. In particular, if X is chi-squared distributed, then cX is gamma distributed.
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Connor is driving to a concert and needs to pay for parking. There is an automatic fee of $9 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Connor have to pay for parking if he left his car in the lot for 2 hours? How much would Connor have to pay if he left his car in the lot for
t
t hours?
The equation is given as y = 2t + 9 and Connor would pay $13 if he left his car for 2 hours
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let y represent the total money paid for parking for t hours.
There is an automatic fee of $9 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour. Hence:
y = 2t + 9
To park for 2 hours, t = 2:
y = 2(2) + 9 = $13
The equation is given as y = 2t + 9
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Elizabeth lives in san francisco and works in mountain view. In the morning, she has 3 33 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 33 choices for her trip home. If elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?.
The probability that she will choose to use a cab exactly one time is 4/9.
It has been given that In the morning she has 3 transportation choices. And in the evening the same 3 choices.
i) bus
ii) cab
iii) train
Since each choice have an equal chance of being chosen,
The probability of Choosing a bus will be 1/3
The probability of Choosing a cab will be 1/3
The probability of Choosing a train will be 1/3
Now, the Probability of Not Choosing the cab will be the sum of the probabilities of choosing a bus and train i.e, 2/3
Now there will be two possibilities-Either She chooses a cab in the morning and something else in the evening Or She chooses a cab in the evening and something else in the morning.
Therefore, the probability of choosing a cab exactly one time =
( Probability of cab in morning x Probability of no cab in the evening) + (Probability of no cab in morning x Probability of cab in evening)
Probability of choosing a cab exactly once
= 1/3 x 2/3 + 2/3 x 1/3
= 4/9
Therefore, the probability that she will choose to use a cab exactly one time is 4/9.
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Write an equation that represents the situation.
After the parade, Ameen had 300 pieces of candy. He was allowed to eat 8 pieces of candy each day. Write an equation that represents the number of days he had been eating candy if he has 82 pieces of candy left.
Ameen has been eating the candy for 27 days and now has 82 pieces left
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
Let x represent the number of days he had been eating candy.
Ameen had 300 pieces of candy. He was allowed to eat 8 pieces of candy each day. He has 82 left. This can be represented by:
300 - 8x = 82
8x = 300 - 82
8x = 218
x = 27.25
He has been eating the candy for 27 days
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An entrepreneur buys some hockey pucks. Each one costs $5.60 and resells for 7.84. What is the mark up price, as a percentage
The percentage mark up of the hockey is 40%
How to determine the percentage mark upFrom the question, we have the following parameters that can be used in our computation:
Selling = 7.84 and cost = 5/60
The markup price can be calculated as follows:
markup price = (selling price - cost price) / cost price * 100%
So, we have
markup price = (7.84 - 5.60) / 5.60 * 100%
Evaluate
markup price = 40%
So, the mark up price is 40%.
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Essay Worth 10 points)
(05. 07 HC
A coach is assessing the correlation between the number of hours spent practicing and the average number of
the data
Number of hours spent practicing
0 0. 5 1 2001. 5 2 2002. 5 3 2003. 5 4
Score in the game
5 8 11 14 17 20 23 26 29
Part A: Is there any correlation between the number of hours spent practicing and the score in the game? Justify
Part B: Write a function that best fits the data. (3 points)
Part 2: What does the slope and y-intercept of the plot indicate? (3 points)
8
Source C
There is a correlation between the number of hours spent practicing and the score in the game.
Part A: Yes, there is a correlation between the number of hours spent practicing and the score in the game. This is evidenced by the linear trend that is seen in the data, with the score increasing as the number of hours spent practicing increases.
Part B: The function that best fits the data is y = 4x + 5.
Part 2: The slope of the plot indicates that for every hour spent practicing, the score increases by 4 points. The y-intercept indicates that the score is 5 when no hours are spent practicing.
There is a correlation between the number of hours spent practicing and the score in the game.
The function that best fits the data is y = 4x + 5, where the slope indicates that for every hour spent practicing, the score increases by 4 points, and the y-intercept indicates that the score is 5 when no hours are spent practicing.
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Can anyone teach me how to do this?
The missing angles and side of the triangle are;
m∠FXD = 44°
EG = 14
m∠FZG = 32°
How to find the angles in a triangle?We are told that the angle bisectors of ΔXYZ are XG, YG and ZG
The parameters are;
∠DYE = 94°
∠FXG = 22°
Thus;
m∠FXD = 2* 22°
m∠FXD = 44°
The sum of angles in a triangle is 180 degrees. Thus;
m∠FZE + 94 + 22 = 180
m∠FZE = 180 - (94 + 22)
m∠FZE = 64°
Thus;
m∠FZG = 64°/2
m∠FZG = 32°
The incenter of a triangle lies at equal distances from the three line segments forming the sides of the triangle, and also from the three lines containing those segments. Thus;
DG = EG = FG = 14
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By rounding to one significant figure, estimate the answers to these questions:
a)
b)
c)
98 + 11
764
19
798
8 x 41
The solution to the division problems after rounding off to 1 significant figure are;
a) 9
b) 40
c) 2
How to round off numbers to one significant figure?The first significant figure of a number is defined as the first digit which is not zero. Hence, the first significant figure of 20,499 is 2 and the first significant figure of 0.0020499 is 2
a) 98 ÷ 11
When this is divided, we have;
8.91
Rounding off to one significant figure gives 9.
b) 764/19
When this is divided, we have;
40.21
Rounding off to one significant figure gives 40.
c) 798/(8 * 41)
When this is divided, we have; 2.43
Rounding off to one significant figure gives 2.
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The scientist in the laboratory company raise amoebas to sell to schools for use in biology classes. They know that one amoeba divides into two amoebas every hour and that formula T equals log two base N can be used to determine how long in hours, t, it takes to produce a certain number of amoebas, N. Determine to the nearest tenth of an hour, how long it takes to produce 10,000 amoebas if they start with one amoeba
it takes approximately 14 hours to produce 10,000 amoebas, rounded to the nearest tenth of an hour.
The formula T = [tex]log^2[/tex] N can be used to determine the number of hours, T, it takes to produce a certain number of amoebas, N.
We can use this formula to find the number of hours it takes to produce 10,000 amoebas, given that the scientist starts with one amoeba:
T = [tex]log^2[/tex] N = l[tex]log^2[/tex] 10,000 = 14.000
So it takes approximately 14 hours to produce 10,000 amoebas, rounded to the nearest tenth of an hour.
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complete the first step in dividing the fraction 45 by the fraction 63.45÷63 =
Completed the first step in dividing the fraction 45 ÷ 63 = 45/63 = 7/10.
What is fraction ?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Divide 45 by 63 to get the first digit of the quotient:
45 ÷ 63 = 7/10
Multiply 63 by 7/10 to get 45:
7/10 × 63 = 45
Subtract this result from 45:
45 - 45 = 0
Bring down the next digit (i.e., 43) to the next decimal place:
7/10
Repeat the above steps to find the next digit in the decimal expansion of the quotient.
Completed the first step in dividing the fraction 45 ÷ 63 = 45/63 = 7/10.
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What’s the function of this?
Answer:
g(x) = 2x +1
Step-by-step explanation:
You want the complete table and the linear function that describes it, given the points (x, g(x)) = (-3, -5) and (-1, -1).
DifferencesWe note the differences between the x-values shown are -1 -(-3) = 2. The corresponding differences between those y-values is -1 -(-5) = 4.
This lets us fill in the values for x=1 and x=3 as being -1+4 = 3, and 3+4 = 7
We observe that the missing x-value corresponds to g(x)=1, which is halfway between g(x)=-1 and g(x)=3. That means its corresponding x-value will be halfway between x=-1 and x=1, at x=0.
The table is shown in the attachment.
Slope-intercept equationThe change in g(x) being 4 when the change in x is 2 means the slope is 4/2 = 2. The y-value of 1 when x=0 means the y-intercept is 1.
These are used to write the slope-intercept form of the equation:
y = mx +b . . . . . . slope is m, y-intercept is b
For a slope of 2 and a y-intercept of 1, the equation is ...
y = 2x +1
When we write that in "functional form", the expression g(x) replaces y:
g(x) = 2x +1
Fill in the table using this function rule.
y = 3x+2
X
1
2
7
8
X
y
0
0
0
0
15
The table using this function rule y = 3x+2 is as follows:
x y
1 5
2 8
7 23
8 26
What is function rule?
The relationship between the input or domain and the output or range is represented by the function rule. A relation is a function if and only if each domain value has one value in the range.
An output is produced by a function machine using an input and a set of rules. Connecting a function described by a verbal rule with corresponding values in a table is the goal of this task (one of six connections to be made between the four ways to represent a function, the other two being through its graph and through an expression).
Although this broad application is not meant to be evaluated, it encourages students to think more broadly about functions as relating objects other than numbers.
Given that, y = 3x+2
Below is the completed table,
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in parallelogram WXYZ, diagonals line WY and line XZ intersect at point A. WA = 3x²-105 and AY = 6x. what is line WY? Show your work.
The complete diagonal line WY is 3x² + 6x - 105.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
Given, In parallelogram WXYZ, diagonals line WY intersect at point A.
WA = 3x² - 105 and AY = 6x, So the line Wy can be obtained by adding
WA and AY.
= 3x² - 105 + 6x.
= 3x² + 6x - 105.
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The required measure of the diagonal AY is given as 84 as per the given condition.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
WA = 3x²- 105,
AY = 6x
Since diagonals of parallelograms bisect each other,
3x²- 105 = 6x
3x² - 6x - 105 = 0
x² - 2x - 35 = 0
(x - 7)(x + 5) = 0
x = 7, -5
A negative value of x can be neglected.
So,
AY = 6x
= 6×7 = 42
Now.
WY = 2AY = 2(42) = 84
Thus, the required measure of the diagonal AY is given as 84 as per the given condition.
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when constructing an inscribed square by hand, which step comes after constructing a circle? (1 point)
Constructing the four lines that intersect the circumference of the circle and form the square.
How to construct a circle inscribed in a square?To construct a circle inscribed in a square, first draw a square with the desired side length.
Next, draw two diagonals from opposite corners of the square. This will divide the square into four quadrants. Measure the length of each diagonal.
Divide the length of each diagonal by two and mark the midpoints of each diagonal.
This will create four points which will define the circle. Connect each of the midpoints with a curved line to form a circle inscribed in the square.
Finally, use a compass to adjust the curve of the circle until it is perfectly symmetrical.
The circle should be perfectly centered in the square and tangent to each of its sides.
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Answer: (A) Set compass to the diameter of the circle.
Step-by-step explanation:
you want to draw an enlargement of a design that is printed
The dimensions of the largest complete enlargement are
[tex]8\frac{1}{2} and10\frac{5}{8} inches[/tex].
A scale factor is defined as a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
we know that
If two figures are similar, then the scale factor is the ratio of their corresponding sides
first, we have to divide 8 1/2 by 4
8 1/2=8*2+1/4=17/2
so
17/2=2.125 inches.
Now divide 11 by 5.
11/5=2.2.
The final step is to find the largest complete enlargement and the scale factor is the smaller of the two previous values
The scale factor=2.125
The dimensions are
4*2.125=8.5=8 1/2
5*2.125=10.625=10 5/8
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true or false? {8} element of {6, 8, 10, {6}, {8}, {10}}
The elements 7 and 8 are not in the set B. So every element of A is not an element of B. So the Statement is false.
The elements of set A and set B are:
A = {5, 6, 7, 8, 9, 10}
B = {5, 6, 9, 10}
Total elements in set A is 6 and set B is 4.
We have to check every element of A is also an element of B. To check we have see that every elements of set A is in the set B.
The elements of set A 5, 6, 9, 10 are in the set B but the elements 7 and 8 are not in the set B.
So the given statement is False.
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The complete question is:
Determine if the following statement is true or false regarding sets A and B.
A = {5, 6, 7, 8, 9, 10}
B = {5, 6, 9, 10}
Every element of A is also an element of B. Choose the correct answer below.
1. False
2. True
215.7 is what percent of 192
112.34375%
215.7 is 112.34400% of 192
consider the case in which the constant a equals 16. plot the graph of y=16x2 .
The graph of y=16x2 is a parabola that is symmetric about the y-axis and opens upwards. Its vertex is at (0,0) and its intercepts are at (0,0) and (±√16,0). As x increases, the graph increases at a faster rate.
The graph of y=16x2 is a parabola that is symmetric about the y-axis and opens upwards. The vertex of the parabola is the point (0,0), which is the point where the parabola changes direction. The y-intercept of the graph is the point (0,0) and the x-intercepts are the points (±√16,0). This means that the graph crosses the x-axis at x=±√16. As x increases, the graph increases at a faster rate. This is because the exponent of x is 2, meaning that the graph is a quadratic equation. When x=0, the graph is at 0, and as x gets larger, the graph increases more quickly. The graph reaches its maximum at x=√16, where y=16. From this point, the graph decreases until it reaches 0 again at x=-√16.
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for what value(s) of h is b in the plane spanned by a1 and a2?
The value of h for which b is in the plane spanned by a1 and a2 is -17
If the plane is spanned by a1 and a2 and if y is in the plane, then y is a linear combination of a1 and a2.
y = x(a1) + y(a2), where x and y are constants.
[4, 1, h] = x[1, 4, -2] + y[-2, -3, 7]
[4, 1, h] = [x - 2y, 4x -3y, -2x+ 7y] .
Vectors are equal if their corresponding components are equal:
So, x - 2y = 4, 4x - 3y = 1 and -2x + 7y = h
We can solve for x and y from the first two equations to find h:
x = -2
y = -3
h = -17
The question is incomplete, the complete question is
"For what value(s) of h is b in the plane spanned by a1 and a2?
a1 = [1, 4, -2] a2 = [-2, -3, 7] b = [4, 1, h]"
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an ideal gas is contained in a cylinder of fixed length and diameter. 80 j of heat is added while the piston is held in place. the work done by the gas on the walls of the cylinder is
The work done by the gas on the walls of the cylinder is zero, since the piston is held in place. The heat energy added to the gas will cause it to expand, but since the cylinder has a fixed volume, the pressure of the gas will increase without the gas doing any work on the walls of the cylinder.
An ideal gas is a hypothetical gas which follows the ideal gas laws. These laws state that the pressure, volume, and temperature of an ideal gas are related to each other in a predictable and measurable way. In this case, the cylinder has a fixed length and diameter, and the piston is held in place. This means that the volume of the cylinder is fixed and cannot change, even if heat is added to the gas. Therefore, when 80 J of heat is added, the pressure of the gas will increase, but the gas will not do any work on the walls of the cylinder since it cannot expand. Therefore, the work done by the gas on the walls of the cylinder is zero.
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marshall would like to get an idea of his monthly electricity expenses. so, he compiles a list of the last several months' electricity bill amounts (rounded to the nearest dollar). these values are given below. use the calculator to draw a histogram for these values using 5 classes. 153,141,108,198,190,107,185,165,137,107 marshall finds that if he spent at least $145 in a given month on electricity, he could have saved $10 in that month by conserving in certain ways. based on the histogram produced, how much money could marshall have saved if he would have conserved in those ways?
The money could Marshall have saved if he would have conserved in those ways [tex]T=298N+10[/tex]
Marshall would like to get an idea of his monthly electricity expenses.
So, he compiles a list of the last several months' electricity bill amounts
Marshall finds that if he spent at least $145 in a given month on electricity,
Have saved $10 in that month
We are given the following:
A = 145N + 10
B = 153N
We are required to determine the total amount (P) saved using both plans combined.
This can be achieved thus:
[tex]T=A+B[/tex]
[tex]T = 145N+10+153N[/tex]
[tex]T =298N+10[/tex]
Therefore,
The money could Marshall have saved if he would have conserved in those ways [tex]T=298N+10[/tex]
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Mrs. Hilt owns a house on a lot shaped like a rectangle. The perimeter
of the lot is 60 feet. What is the length and the width of the lot?
Which of these numbers is not rational
1. v3
2. 0.25
3. 1/5
4. z9
Answer:
√3 is not rational
Step-by-step explanation:
• A rational number is that number that can be expressed as a fraction provided its denominator is not equal to zero.
Forexample;
√3 is irrational because it can not be expressed i to a fraction, but into a long decimal. [√3 = 1.732050....]0.25 is rational because it can be expressed as a fraction [tex]{ \boxed{ \tt{0.25 = \frac{25}{100} = \frac{5}{20} = \frac{1}{4} }}}[/tex]1/5 is already rational as per the definition.√9 is rational because it can be a fraction.[tex] { \boxed{ \tt{ \sqrt{9} = 3 = \frac{3}{1} }}}[/tex]evaluate the function f(x)=5x+2 for f(-4)
Answer:
The answer is -18
Step-by-step explanation:
You plug in -4 and solve
f(-4)= 5(-4) +2
Simplify: 15²
(pls hurry)
Answer:
225
Step-by-step explanation:
15 x 15 = 225
x−(−7)=−10 as an addition problem
The value of the equation x + 17 = 0 is x = -17
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x - ( -7 ) = - 10 be equation (1)
On simplifying the equation , we get
x + 7 = -10
Adding 10 on both sides of the equation , we get
x + 17 = 0
Now , subtracting 17 on both sides of the equation , we get
x = -17
Hence , the value of equation is x = -17
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Which phrases can be represented by the algebraic expression x + 14? select three options.
The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).
Given that we have to find the phrases represented by algebraic expression
Given expression is:
x + 14
This expression means that "x" is increased by 14 or 14 is added to x
Let us check the options one by one
Option 1:
The quotient of a number and 14
So this expression is wrong, since it involves quotient which is not related to given expression
Option 2
A number plus 14
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Option 3
Fourteen less than a number
Writing it mathematically,
number - 14
If the number be "x", then we get x - 14
So this Option is wrong
Option 4
Fourteen more than a number
Here, "more than" means addition
Writing it mathematically,
14 + number
If the number be "x", then we get 14 + x which is same as x + 14
So this option is correct
Option 5
A number increased by 14
Here, "increased by" means addition
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.
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Full Question:
Which phrases can be represented by the algebraic expression x + 14? Select three options.
1. the quotient of a number and 14
2. a number plus 14
3. fourteen less than a number
4. fourteen more than a number
5. a number increased by 14
The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).
Given that we have to find the phrases represented by an algebraic expression
Given expression is:
x + 14
This expression means that "x" is increased by 14 or 14 is added to x
Let us check the options one by one
Option 1:
The quotient of a number and 14
So this expression is wrong since it involves a quotient which is not related to the given expression
Option 2
A number plus 14
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Option 3
Fourteen less than a number
Writing it mathematically,
number - 14
If the number be "x", then we get x - 14
So this option is wrong
Option 4
Fourteen more than a number
Here, "more than" means addition
Writing it mathematically,
14 + number
If the number be "x", then we get 14 + x which is same as x + 14
So this option is correct
Option 5
The number increased by 14
Here, "increased by" means the addition
Writing it mathematically,
number + 14
If the number be "x", then we get x + 14
So this option is correct
Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.
To learn more about algebraic expressions, visit the link:
brainly.com/question/953809
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Full Question:
Which phrases can be represented by the algebraic expression x + 14? Select three options.
1. the quotient of a number and 14
2. a number plus 14
3. fourteen less than a number
4. fourteen more than a number
5. a number increased by 14
Rotate the triangle through 180° about the origin.
my worst topic fr
The answer is that the triangle should be here in the image.
Any shape that is 180 degrees turn from (x, y) to (-x, -y).
So pretend a point is on (2, 3), do a 180 degree rotation it will be (-2, -3).
Mark me Brainliest. :D
Answer:
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Step-by-step explanation:
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factor each expression
5a - 25
Answer: 5 (a-5)
Step-by-step explanation:
5 divided by 25 is 5 so that's where 5 came from and then just move the 5 from the a to get just a.