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SVETLANKA909090 [29]
2 years ago
13

What is the equation of a line that has the same slope as y=7-2x and the same y-intercept as y=-7x-5

Mathematics
1 answer:
wariber [46]2 years ago
3 0

Answer:

Hello!

First you will want to get both of equations into slope-intercept form.  That way, you can easily determine the y-intercept of the first equation and the slope of the second equation.  

When 2 lines have the same slope, that means they will be parallel.

y+4x-10=0 ; add 10 to each side

y+4x=10 ; subtract 4x from each side

y = -4x + 10 ; y-intercept = 10

1x + 7y = 6 ; subtract 1x from each side

7y = -1x + 6 ; divide both sides by 7

y = -1/7 x + 6/7 ;  slope = -1/7

So, a line with the same y-intercept as the first, and same slope (parallel) as the second would have the equation:

y = -1/7x + 10

Step-by-step explanation:

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3 0
3 years ago
The difference of the product of 3 and 6 minus the quotient of 6 divided by 2​
Mandarinka [93]
Answer is :
(6*3)-(6/2)
8 0
3 years ago
Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.
gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant  is  mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is  mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)

The partial derivatives of a function are f x and f y.

\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\

&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}

In conclusion,  the area is

A=3 √4 units ^2

Read more about the plane

brainly.com/question/1962726

#SPJ4

5 0
1 year ago
What’s the answer to this question ?
Usimov [2.4K]

Answer:

(13,5)

Step-by-step explanation:

7 0
3 years ago
Plsssssssssss helpp reeeeeeee
valentina_108 [34]

Answer:

102.62

Step-by-step explanation:

I converted everything to inches and then solved for x by putting 58 in. over 66 in. (the girls shadow in in.) and the X in. over 1500 in. I cross multiplied (58 x 1500 and 68 x X) and then divided 68 by the result of 58 x 1500.

4 0
2 years ago
Read 2 more answers
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