On solving the provided question, we can say that - here in equation 10x + =4 = 2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
the equation we have is = 10x + =4 = 2
10x = -2
x = -1/5
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what is the evaluation for 4-4y+y-3
Answer:
1-3 y
Step-by-step explanation:
Subtract the numbers 4 AND 3 WHICH WOULD EQUAL REWRITING THE ADDITON SO IT CHANGES THE MINUS SIGN TO A PLUS.
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.
The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)
How to write the equation of the lineThe general form of a linear equation is y - y₁ = m (x - x₁).
It draws attention to the line's slope and one of the line's points (that is not the y-intercept)
The point slope formula is given by y - y₁ = m (x - x₁), where:
y = output value
y₁= the given y coordinate point
m = slope
x = input value
x₁ = the given x coordinate
substituting the point (-10,1) and slope 3/2
y - y₁ = m (x - x₁)
y - 1 = 3/2 (x + 10)
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Identify the sequence that lists sides of STU in order from shortest to longest
ST, UT, SU
UT, SU, ST
SU, ST, UT
SU, UT, ST
On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit
what is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
the sum of the areas of the circle, the triangle, and the square.
Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.
A = 210-123 = 87 sq unit
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A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
A recreational area is formed by a rectangular shaped pool and a cement patio surrounding the pool. the pool has a length of 3x-3 meters and a width of 2x+7 meters. The patio extends x meters around to pool, on all sides of the pool. Write a polynomial expression that gives the total area of the recreational area.
The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.
The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.
The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:
20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35
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What are the origins of matrices?
Answer: The origins of matrices can be traced back to the 18th century, with the work of mathematicians such as Gabriel Cramer, Leonhard Euler, and Joseph-Louis Lagrange. These mathematicians developed the idea of using arrays of numbers to represent systems of linear equations, which led to the development of the concept of matrices.
The term "matrix" itself was first used by James Joseph Sylvester in 1850, although it had been in use informally for some time before then. In 1858, the English mathematician Arthur Cayley first published a systematic theory of matrices, which further developed the field.
Matrix theory was primarily used in the early days to solve systems of linear equations, but it soon found applications in areas such as linear algebra, multivariate statistics, and even quantum mechanics.
In summary, the origins of matrices can be traced back to the 18th century as an idea to represent systems of linear equations, which developed over time with contributions of many mathematicians over the centuries, and now it plays an important role in many field of mathematics and science.
Step-by-step explanation:
can anyone help me out with this question
Answer:
[tex] \sf \: b) \: 45[/tex]
Step-by-step explanation:
The values given are,
→ u = 7
→ d = 10
→ e = 3.2
Now the expression is,
→ 15(d - u)
Evaluating the expression,
→ 15(d - u)
→ 15(10 - 7)
→ 15 × 3
→ 45
Hence, option (b) is correct.
Answer:45
Step-by-step explanation:
15(10-7)
15(3)
multiply and get 45
You buy 4 pounds of steak at Store A for $25.50. Your friend buys 6 pounds
of steak at Store B for $40.25. Which store is cheaper?
O No answer text provided.
O They're the same
O Store A
O Store B
Question 3
Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.
At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.
At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.
Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.
Step-by-step explanation:
WHAT IS THE RECIPOCAL OF 6/5
Answer: 5/6
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.
Answer:
5/6
Step-by-step explanation:
Well to find a fraction's reciprocal all you need is to flop it like this
6/5 => 5/6
so 5 takes the place of 6 and 6 takes the place of 5
that's how 6/5 turns into 5/6
hence, the reciprocal is 5/6 .whats the answer??
its math related
Answer:
30
Step-by-step explanation:
x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30
Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
Internal angles of a triangle sum 180°
Then:
x + 2x +3x = 180
6x = 180
x = 180/6
x = 30°
2x = 60°
3x = 90°
(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!
Please help me please
a) calculer: f(1,5); f(2,5); f(2)
Answer:
Step-by-step explanation:
you should give the function, if i haven't it, how can i help you.
i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.
Any help please, - What is the area for this?
Answer:
109.18
Step-by-step explanation:
Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.
Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
Axis of symmetry:
x=9 /2
Vertex (minimum point): (9/2,−55/2)
X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)
Y-intercept: (0,13)
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
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Please help with homework
Solve
2(x+4)=3(-2+x)
Answer:
x = 14
Step-by-step explanation:
2(x + 4) = 3( -2 + x) distribute the 2 and the 3.
2(x) + 2(4) = 3(-2) + 3(x)
2x + 8 = -6 + 3x Subtract 2x from both sides
2x - 2x + 8 = -6 +3x -2x
8 = -6 +x Add 6 to both sides
8 + 6 = 6 - 6 + x
14 = x
Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?
For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
Factor the expression y^2+8x+12
Answer: y^2+8x+12
Step-by-step explanation:
ABC is an equilateral triangle. A circle with radius 1 is tangent to the line
AB at the point B and to the line AC at point C. What is the side length of
ABC? Show your work?
The equilateral triangle ABC have a side length of 2 units of the radius length of the circle tangent to the line AB.
How to evaluate for the side length of the triangleAn equilateral triangle have all its side lengths equal so;
line AB = line BC = line AC
At points B and C where the lines AB and AC are tangent to the circle is the a side length BC of the equilateral triangle
Line BC form the diameter of the circle which is 2 radius of the circle so;
line BC = 2 × radius of the circle
line BC = 2 × 1
line BC = 2
Therefore, the side length of the equilateral triangle is 2 units of the radius of the circle tangent at point B and C.
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Find the range of values of k for which the equation 4x² + 12x + k = 0 has no real roots.
Hello there!
Answer:
[tex](9, +\infty)[/tex]
Step-by-step explanation:
It has no real roots only if
[tex] \sqrt{b {}^{2} - 4ac } [/tex]
has no roots. That means that b² - 4ac is smaller than 0:
[tex]b {}^{2} - 4ac < 0 \\ 12 {}^{2} - 4 \times 4 \times k < 0 \\ 144 - 16k < 0 \\ 144 - 144 - 16k < - 144 \\ - 16k < - 144 \\ k > 9 \\ k \: \: \: in \: \: \: (9, +\infty)[/tex]
we can approach this from the standpoint of the discriminant, if the discriminant is negative then we only get complex roots or namely "imaginary" solutions or values, well, let's check before that happens, when the discriminant is 0.
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+k} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex]0=(12)^2 - 4(4)(k)\implies 0=144-16k\implies 16k=144 \\\\\\ k=\cfrac{144}{16}\implies k=9\hspace{5em} \stackrel{if~k > 9\textit{, then we land on negative territory}}{{\Large \begin{array}{llll} k > 9 \end{array}}}[/tex]
69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)
Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table
Girls Boys Total
blank blank 8
6 blank blank
blank 20 blank
30 blank blank
300 500 800
blank 800 blank
The complete table is given in the solution.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride
The ratio of girls to boys = 3:5
Therefore, The complete table is as follows:-
Girls Boys Total
3 5 8
6 10 16
12 20 32
30 50 80
300 500 800
480 800 1280
Hence, the complete table is above
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Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)
The following statements are true based on the diagram below
I is a vertex of right angleK is a vertex of right angleWhat is vertex?When two or more curves, lines, or edges come together, it is called a vertex (plural: vertices or vertexes) in geometry. As a result of this definition, polygonal and polyhedral corners as well as the intersection of two lines to form an angle are referred to as vertices.
The vertex of an angle is the point at which two rays start or meet, where two line segments join or meet, where two lines intersect (cross), or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one location.
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a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:
Answer:
7/8
Step-by-step explanation:
Step 1: Count the total number of letters in the word FOOTBALL
There are 8 letters in the word FOOTBALL.
Step 2: Count the number of letters that are not L
There are 7 letters that are not L.
Step 3: Calculate the probability
The probability that the letter chosen is not an L is 7/8.
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer: option b), option c), and option e) are correct options.
Step-by-step explanation:
Given:
The area of a rectangular room= 750 square feet
The width of the room = 5 feet less than the length of the room
The length of the room = Y
To find:
Equations that can be used to solve the value of Y i.e. the length of the rectangular room.
Solution:
The equation can be derived from using the following formula:
Area of rectangle = length * width
According to the question,
Length of the rectangular room = Y
Width of the rectangular room = 5 feet less than the length of the room
= (Y-5)
Since, Area of rectangle = length * width
Area of the rectangular field = length of the room* width of the room
750 = Y (Y – 5) ………..eqn. (1)
Or, the above equation can be solved a step further and written as
750 = Y2 – 5Y ………..eqn. (2)
750- Y2 + 5Y= 0 ………..eqn. (3)
750-Y (Y- 5) =0 ………..eqn. (4)
Apart from the above equations, if we solve eqn. (2) we get the following equation:
750 = Y2 – 5Y
Y2 – 5Y- 750= 0
Y2 – 30Y + 25Y- 750 = 0
Y (Y- 30) + 25 (Y- 30) = 0
take Y- 30 common from L.H.S.
(Y -30) (Y+ 25) = 0 …………….eqn. (5)
Hence, the correct options are option b), option c), and option e).
Determine if each of the following statements are true or false (HELP!!! ARE MY ANSWERS CORRECT?)
Answer:
yes
Step-by-step explanation:
PLEASE HURRY BE FAST
A fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−3, 0) and goes to point (−3, 3) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.
Determine the total number of miles traveled. Round to the nearest mile.
3 miles
6 miles
10 miles
24 miles
Answer:
24 miles
Step-by-step explanation:
each distance between points is 6.
6+6+6+6=24 miles
find the order pairs for y=-5x-4
Answer:
(0,-4),(1,1)(2,6)
Step-by-step explanation:
Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>
The image for P(9, 1.5) after Translation is P'( 12, 1).
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
P(9, 1.5) with Translating Vector (3, -0.5).
So, Applying the Translation we get
P(9 + 3, 1.5 + (-0.5))
= P(12 , 1.5- 0.5)
= P(12, 1)
hence, the image is P'( 12, 1).
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