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enyata [817]
3 years ago
5

A line has a slope of 7 and contains the point (5, −9).

Mathematics
1 answer:
sergejj [24]3 years ago
7 0
Your answer would come out to be y=7x-44 
Which would be A, B, and D.
Those match up to that answer.
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Circles M and K are congruent, QR, is congruent to LN and OP is congruent to VW. Find x and y
Alika [10]

Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.

And the expressions for each arc in the diagram also given as:

Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.

Hence, we will get the system of equations as following:

Arc QR = Arc LN

2x - y = 11 ...(1)

Arc OP = Arc VW

5x + y = 10 ...(2)

Next step is to add the two equation to eliminate y so that we can solve the equations for x. Therefore,

2x+5x = 11 + 10

7x = 21

\frac{7x}{7} =\frac{21}{7} Divide each sides by 7.

So, x= 3

Now plug in x=3 in equation (2) to get the value of y.

5(3) + y = 10

15 + y =10

15 + y - 15 = 10 - 15 Subtracting 15 from each sides.

y = -5

So, x=3 and y =-5

Read more on Brainly.com - brainly.com/question/10717135#readmore

5 0
3 years ago
Read 2 more answers
Given f(x) = 3x^3 + kx – 5, and x – 1 is a factor of f(x), then what is the value<br> of k?
vovangra [49]

Step-by-step explanation:

f(x) =  {3x}^{3}  + kx - 5 \\  \\ x - 1 \: is \:  \: a \: factor \: of \: f(x) \\ f(1) = 0 .........(1) \\ f(1) = 3 \times  {1}^{3}  + k \times 1 - 5 \\  = 3 + k - 5..........(2) \\  \\ (1) = (2) \\ 3 + k - 5 = 0 \\ k = 2

6 0
2 years ago
Read 2 more answers
What is the equation of the graphed line written In
Sholpan [36]

The equation of the graph in standard form is 2x + 3y = -6

<h3>How to determine the equation?</h3>

The attached figure represents the missing piece in the question

The graph passes through the points

(-3,0) and (0,-2)

The linear equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} * (x-x_1) + y_1

So, we have:

y = \frac{-2 -0}{0+3} * (x-0) -2

Evaluate the expression

y =-\frac 23x - 2

Multiply through by 3

3y = -2x - 6

Add 2x to both sides

2x + 3y = -6

Hence, the equation in standard form is 2x + 3y = -6

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

4 0
2 years ago
One of the steps Rob used to solve an equation is shown below.
tankabanditka [31]

Answer:

D

Step-by-step explanation:

Let's review the distributive property.

It is

a(b+c) = ab + ac

Whenever we have a sum/difference multiplied by a number upfront, we need to eliminate the parenthesis. We do it by multiplying the constant with the terms of the sum/difference inside the parenthesis, each respectively.

Looking at 2 steps, we see Rob:

  • eliminated the parenthesis by multiplying -5 with both "3x" and "+7"
  • used the distributive property

From the answer choices, D is right.

8 0
3 years ago
Suppose the interval ​[negative 2​,0​] is partitioned into nequals4 subintervals. What is the subinterval length Upper Delta x​?
Maslowich

Answer:

We find the length of each subinterval dividing the distance between the endpoints of the interval by the quantity of subintervals that we want.

Then

Δx= \frac{0-(-2)}{4}=\frac{2}{4}=\frac{1}{2}

Now, each x_i is found by adding Δx iteratively from the left end of the interval.

So

x_0=-2\\x_1=-2+\frac{1}{2}=\frac{-3}{2}\\x_2=\frac{-3}{2}+\frac{1}{2}=-1\\x_3=-1+\frac{1}{2}=-\frac{1}{2}\\x_4=\frac{-1}{2}+\frac{1}{2}=0

Each subinterval is

s_1=[-2,-3/2]\\s_2=[-3/2,-1]\\s_3=[-1,-1/2]\\s_4=[-1/2,0]

The midpoints of the subintervals are

m_1=\frac{-2-3/2}{2}=\frac{-7/2}{2}=\frac{-7}{4}\\m_2=\frac{-1-3/2}{2}=\frac{-5/2}{2}=\frac{-5}{4}\\m_3=\frac{-1/2-1}{2}=\frac{-3/2}{2}=\frac{-3}{4}\\m_4=\frac{0-1/2}{2}=\frac{-1}{4}

The points used for the

1. left Riemann sums are the left endpoints of the subintervals, that is

x_0=-2, x_1=\frac{-3}{2}, x_2=-1, x_3= \frac{-1}{2}

2. right Riemann sums are the right endpoints of the subinterval,

x_1=-\frac{3}{2}, x_2=-1, x_3=-\frac{1}{2}, x_4=0

3. midpoint Riemann sums are the midpoints of each subinterval

m_1,m_2,m_3,m_4.

5 0
3 years ago
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