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3 years ago

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

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4 0

2 years ago

One of the steps Rob used to solve an equation is shown below.

tankabanditka [31]

Answer:

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.

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

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