Step-by-step explanation:
Formula : m = (y2-y1) / (x2+x1)
(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.
The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]
are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
The system of equations is given as:
[tex]2x+ 4y = 14[/tex]
[tex]4x + y = 20[/tex]
Multiply both sides of the equations by -4.
So, we have:
[tex]-4 \times (4x + y) = -4 \times 20[/tex]
Distribute the expression
[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]
Evaluate all products
[tex]-16x -4y = -80[/tex]
So, we have the following system of equations
[tex]2x+ 4y = 14[/tex]
[tex]-16x -4y = -80[/tex]
Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
Read more about equivalent equations at:
https://brainly.com/question/9603710
Which equation best fits the graphed data?
6+
4+
2+
+X
-6
-4
- 2
2
6
N
-2+
.
.
-4
-6+
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Please help me with my math homework what is the answer!!!
Answer:
Step-by-step explanation:
The letters are easy enough.
y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.
x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs
12 and 42 are the parts that will cause the problem. Factor them both into prime factors
12: 2 * 2 * 3
42: 2 * 3 * 7
You need two 2s.
You need one 3
You need one 7
LCD = 2 *2*3 * 7 = 84
PLS ANSWER THE FOLLOWING QUESTION
*AND I WILL MARK U AS BRAINLIST*
Answer:
729
Step-by-step explanation:
Multiply and cross cancel
B =
Round your answer to the nearest hundredth.
Answer:
Angle B = 48.19
#Rounded off to the nearest hundredth after the decimal point
Step-by-step explanation:
As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...
Now to solve this question we need to first see what values are given to us! So the values given to us are
Hypotenuse= 3
Adjacent= 2
C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)
B=?
A=?
Questions objective= find B
I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below
Now coming back to the question,
The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine
the way we shall interpret it is quite simple
Cos ∅°= [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Now by interpreting the values from the diagram
Cos A°= [tex]\frac{2}{3}[/tex]
Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value
so by this statement we need to put an inverse of Cos
∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])
A°= 48.1896851
Now we need to subtract the value of 180° - (Angle A + Angle C)
by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)
hence B= 41.82 °
We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)
Please do double-check it as I could've made a mistake too
Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day
Take care of yourself and I guess the answers complete :)
4 divided by 3220 pls help me due in 2 hours
Answer:
1/805
Step-by-step explanation:
4/3220 = 1/805 = 0.00124223....
i need help assap
Consider the function g(x) shown below over a domain of [1,∞).
g(x) = 2(x – 1)2 – 3
Part A
Determine g–1(x).
Part B
Identify the domain and range of g(x) and g–1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g–1(x).
Part C
Graph g(x) and g–1(x). Describe the relationship between the graphs of g(x) and g–1(x).
A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm
Answer:
about 116.18
Step-by-step explanation:
Circumference is 2PI*radius
So it should equal 37*3.14 which equals about 116.18
2. What is the equation of a line that has a slope of 3 and passes through the point(-1,4)?
y + 4 = 3(x - 1)
y - 1 = 3(x + 4)
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)
Answer:
last one
Step-by-step explanation:
point slope form:
[tex](y - y1 )= m(x - x1)[/tex]
just plug in the numbers and you will get the answer:
[tex](y - 4) = 3(x + 1)[/tex]
Solve the inequality.
Answer:
x [tex]\leq[/tex] -3
Step-by-step explanation:
Make common denominators
[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]
Use the numerators only
2x - (3x - 3) [tex]\geq[/tex] 6
Distribute
2x - 3x + 3 [tex]\geq[/tex] 6
-x + 3 [tex]\geq[/tex] 6
Subtract 3 from both sides
-x [tex]\geq[/tex] 3
x [tex]\leq[/tex] -3
Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
a. Being more informed leads to being better prepared to make financial decisions
b. Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
c. Banks could have charges that you do not know about until reading carefully.
d. You will become more aware of how well the banks meet your particular needs.
Answer:the answer is b
Step-by-step explanation:
i took the test
Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?
Answer:
It is 2.5 hours.
Step-by-step explanation:
(03.02 MC)
The vertices of AGHI are G (2, 4), H (4,8), and I (8,4). The vertices of AJKL are ) (1.), K (2, 3), and L (4,1). Which conclusion is true about the triangles?
whats the answer
Answer:
The coordinates of J are missing. Plus, I don't see options for the conclusions. I made an imaginary point J, which you could correct to form the proper triangle.
Step-by-step explanation:
See the attachment. Plot all the vertices, including a corrected point J and draw the resulting triangle. It might be that AJKL is a slightly smaller, shifted version of AGHI. Enter the correct coordinates and then compare.
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box below.
f(x) = ____
Answer:
mx+b
Step-by-step explanation:
One way to express linear function rules is called slope-intercept form. Sometimes, f(x)=mx+b is used. In either case, m and b describe the general characteristics of the line. m indicates the slope, and b indicates the y-intercept.
The required function of the line would be y = 2x + 1 which is shown in the given graph.
What is the function rule in slope-intercept form?The slope-intercept form is one rule to represent linear function rules. f(x)=mx+b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.
According to the given figure,
We clearly see that the coordinates of the y-intercept would be (0, 1).
The value of the x-coordinate is 1 when y-coordinate is 3.
Here the line passes through points (0, 1) and (1, 3).
Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 0, y₁ = 1
x₂ = 1, y₂ = 3
⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]
⇒ y - 3 = (2)[x -1]
⇒ y - 3 = 2x - 2
⇒ y = 2x - 2 + 3
⇒ y = 2x + 1
Therefore, the required function of the line would be y = 2x + 1 which is shown in the given graph.
Learn more about the Linear function here:
brainly.com/question/14511992
#SPJ5
nth term of 5,8,13,20,29
Answer:
nth term = 4 + n^2
Step-by-step explanation:
Sorry if the answer is long but I'm hoping my explanation can help.
In order to understand the issue, we should try to find the pattern between the terms given.
The terms given were 5, 8, 13, 20 and 29.
Between the first term and second term, the difference is 3.
Between the second and third term, the difference is 5.
The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is
2n - 1.
Hence, we can determine the pattern of the numbers is
nth term = (n-1) term + 2n - 1
We can use this to find term 0 (before term 1) by plugging in the values for term 1
5 = 0th term + 2 (1) - 1
5 = 0th term + 1
Hence the 0th term = 4
If we expand on the summation,
We can find the nth term
nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1
As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.
We can rewrite it as
nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n
Now, we will move 4 and n to one side.
nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n
We can factorize 2 out from every term to the right of -n. This would give out
nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)
The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.
The triangular formula is stated such that
Tn = (n*(n+1))/2
This heavily simplifies the equation into
nth term = 4 - n + 2 [(n*(n+1))/2]
This equation becomes
nth term = 4 - n + n^2 + n.
Now, we can finally simplify into the final equation
nth term = 4 + n^2
A regular polygon has 15 sides find the size of each of its interior angles
Answer:
156°
Step-by-step explanation:
A regular polygon has 15 sides find the size of each of its interior angles
Pentadecagon
The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.
find the sum of the interior angles(15 - 2) × 180 =
13 × 180 =
2340
we divide by the number of sides2340 : 15 =
156° is your answer
=4x+5y=-10
20x - 25y = 50
In Lucy's coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy's coin collection.
The total number of coins in Lucy's coin collection is equal to 80 coins.
Let the total number of coins be C.Given the following data:
Percentage of quarters = 15%Total number of quarters = 12 quartersTo the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]
C = 80 coins.
Read more on word problem here: https://brainly.com/question/24604067
Answer:
80 coins
Step-by-step explanation:
Let the total number of coins be C.
Given the following data:
Percentage of quarters = 15%
Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
C = 80 coins.
So the total number of coins in Lucy's coin collection is 80 coins.
A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 hours. Using the formula
P
t
=
P
0
⋅
2
t
d
P
t
=P
0
⋅2
d
t
, where
P
t
P
t
is the population after t hours,
P
0
P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?
Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An exponential function, with a doubling time of d, after t hours, is given by:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
In which A(0) is the initial amount.In this problem:
The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].Then:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]
After 13 hours:
[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]
The population of bacteria in the culture after 13 hours is of 1,491,747.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656
Another help!!! Good points fake response =report
Answer:
135Step-by-step explanation:
3³ × (12-2) ÷ 2 =
27 × 10 ÷ 2 =
270 ÷ 2 =
135
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
where is paint d on the number line
Answer:
-1.1
Step-by-step explanation:
A total of 11 trucks was used to carry 126 tonnes of iron. Some of the trucks carry
16 tonnes each, and the rest carry 6 tonnes each. Form an equation and solve it to
find the number of 16 tonne trucks.
Step-by-step explanation:
x = number of trucks with 16 tonnes capacity
y = number of trucks with 6 tonnes capacity
x + y = 11
16x + 6y = 126
the first equation gives us
x = -y + 11
and we use that in equation 2 :
16(-y + 11) + 6y = 126
-16y + 176 + 6y = 126
-10y = -50
10y = 50
y = 5
x = -y + 11 = -5 + 11 = 6
the number of 16 tonne trucks was 6.
The perimeter of a square rug is 104 cm. What is the area of the rug?
Answer
Area of the rug is 64 in^2
Answer:
676 cm²
Step-by-step explanation:
A square has 4 congruent sides , then
104 ÷ 4 = 26 cm ← length of side of square s
The area (A) of a square is calculated as
A = s² = 26² = 676 cm²
(5z+5)+(7z+4) what is this confused ?
Answer:
U have to solve this equation[tex](5z + 5) \: + \: (7z + 4)[/tex]
[tex]5z + 5 - 7z - 4[/tex]
[tex]5z - 7z + 5 - 4[/tex]
[tex]2z + 1[/tex]
hope this helps you !!Whats the answer? i need help
Answer:
x = 2 and x + y = -3
Step-by-step explanation:
With the xy example filled, I could work out that x was 2 by realising that if y was -5, then to get to -10 it'd have to be multiplied by two, and I just added -5 and 2 after working out x for the bottom grid.
Hope this helps and you have a good day!
Left box is two (2) and the bottom box is negative three (-3)...
...You are given y, which is -5. We need to figure out x to fill the other 3
boxes or diamonds. xy is another way of saying x * y, so we know that
x * -5 = -10. We can use division to solve this. -10 / -5 = x, or 2. Now we can
fill in the top and left diamond. All that's left is to add x and y, or 2 and -5
together.
2 + -5 = -3
Top diamond : -10
Left diamond : 2
Bottom diamond : -3
Right diamond : -5
Hopefully this helps.
Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.
Answer:
(0,5)x3=(15,5)
Step-by-step explanation:
What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done
Answer:
(d) 9/2
Step-by-step explanation:
The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.
Here, we have ...
x = 0, y = 1
x = 1, y = 9/2
These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.
Name the ray in TWO different ways.
M N P
-34 = -8 + 9(b + 4)
What is the value of the variable?