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3 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics

1 answer:

Len [333]3 years ago

4 0

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1. The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1. The slope-intercept form is y = mx + b. To find b, the y-intercept, we make the following substitutions: m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)

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the value in dollars, v(x), of a certain truck after x years is represtented by the equation v(x)=32500(0.92)* ( *=to the x powe

vekshin1

The value of track is given by:
V(x)=32500(0.92)^x
when x=2
V(2)=32500(0.92)^2=$27508

when x=3
V(3)=32500(0.92)^3=$25,307.36

Difference in values will be:
27508-25307.36
=$2,200.64

3 0

3 years ago

Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

Could someone help me plz

AfilCa [17]

Answer:

I think it’s c

Step-by-step explanation:

8 0

3 years ago

A restaurant uses 5 Gallons of milk each day How many 1-Quart containers of milk does the restaurant use each day

Dovator [93]

20 quarts per day thx me later np

3 0

3 years ago

PLEASE NO LINKS OR I WILL REPORT YOUR ACCOUNT

Artemon [7]

<h3>Answer: 200.96 ft^2 (choice C)</h3>

=======================================================

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

5 0

3 years ago