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2 years ago

5

line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line

k?

1 answer:

In-s [12.5K]2 years ago

8 0

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form: (y - y1) = m(x - x1)</u>

m = 1

<u>Step 1: Plug in</u>

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer: y = x - 4

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In right triangle DEF, it is known that Cos D = (12/13) and Cos F = (5/13). If FD = 39, then DE = ? Hint, draw the right triangl

AnnyKZ [126]

Answer:

The value of the line segment $ED$ is 36.

Step-by-step explanation:

The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:

$\cos D = \frac{ED}{FD}$ (1)

$\cos F = \frac{EF}{FD}$ (2)

If we know that $\cos D = \frac{12}{13}$ and $FD = 39$ , then the length of the line segment $ED$ is:

$ED = FD\cdot \cos D$

$ED = 39\cdot \left(\frac{12}{13} \right)$

$ED = 36$

The value of the line segment $ED$ is 36.

7 0

2 years ago

Write the equation for an ellipse with the center at the origin, a vertical major axis of length 30, and a horizontal minor axis

velikii [3]

Answer:

C

Step-by-step explanation:

hope that helps

7 0

2 years ago

Read 2 more answers

Wing<br> Find the area of the<br> parallelogram:<br> 3 cm<br> 5 cm<br> 4.5 cm<br> A= [?] cm

Pie

Answer:

<h2>13.5 cm^2</h2>

Given,

Base(b)= 4.5 cm

Height(h)= 3 cm

Now,

Area of parallelogram= base * height

= 4.5 * 3

=13.5 cm^2

Hope this helps...

Good luck on your assignment...

7 0

2 years ago

Read 2 more answers

for an art project you make a square print with a side length of 8 inches. You make a frame using strip of wood 1 1/4 inch wide.

lord [1]

Given that square print has side length = 8 inches

Given that you make a frame using strip of wood 1 1/4 inch wide. Since frame is on both sides of the square print so new side length after adding the frame = $1 \frac{1}{4} + 8 + 1 \frac{1}{4} = 10 + \frac{2}{4} = 10 + \frac{1}{2} = 10.5$ inches

Area of the square is given by formula $= x^2$ where x is the side of square

Shape of the frame including print will also be square so

Area of the frame including print $= 10.5^2 = 110.25$ square inches

Area of the print = $8^2 = 64$ square inches

We have to find the area of frame only so we can subtract area of print from the total area

Area of frame = [Area of frame including print] - [Area of print]

Area of frame = 110.25-64 = 46.25

Hence final answer is 46.25 square inches

7 0

2 years ago

2a(5-b)=3b+7 solve for b<br> Step by step

Sidana [21]

<span>2a(5-b)=3b+7

<em>[open bracket]</em>
10a - 2ab = 3b + 7

<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7

<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a

<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7

<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>

<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)

</span>

4 0

2 years ago