Answer:
![slope ⟹ \: - \frac{7}{9} \\ y \: intercept⟹ \: 3](https://tex.z-dn.net/?f=slope%20%E2%9F%B9%20%5C%3A%20%20-%20%20%5Cfrac%7B7%7D%7B9%7D%20%20%5C%5C%20y%20%20%5C%3A%20%20intercept%E2%9F%B9%20%5C%3A%203)
Step-by-step explanation:
The standard form of this equation is
![y = mx + c \\](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c%20%5C%5C)
m stands for the gradient or the slope, and c represents the y-intercept
![y = mx + c \\ y = - \frac{7}{9} x + 3 \\ m = - \frac{7}{9} \: \\ and \: \\ \: y \: intercept \: = 3](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c%20%5C%5C%20y%20%3D%20%20-%20%20%5Cfrac%7B7%7D%7B9%7D%20x%20%2B%203%20%5C%5C%20m%20%3D%20%20-%20%20%5Cfrac%7B7%7D%7B9%7D%20%20%5C%3A%20%20%5C%5C%20and%20%5C%3A%20%20%20%5C%5C%20%20%5C%3A%20y%20%5C%3A%20intercept%20%5C%3A%20%20%3D%203)
Answer:
angles 1 4 and 5 are all equal to 113 and angles 2 3 6 and 7 equal 67
Lets day the original price of the dvd player was $100,
36% marked down means you pay $64x
64x = $41.60
100x = 100/54 x 41.60 = 4160/64 = #65.00 = original cost
similarly, stereo tuners = 100/78 x 69.42 = 6942/78 = $89 original cost
DVD = 65- 41.60 = $ 23. 40 less
Stereo = 89- 69.42 = $ 19.58 less
Diffrence is $ 3.82
so your answer is the dvd player price was reduced by $3.82 more than the stereo tuner.
Answer:
![A=266\frac{2}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D266%5Cfrac%7B2%7D%7B3%7D%5C%20ft%5E2)
Step-by-step explanation:
we know that
The scale is ![\frac{1}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B40%7D)
That means
1 unit in the drawing represent 40 units in the actual
or
1 inch in the drawing represent 40 inches in the actual
step 1
Find the actual dimensions of the living room
Multiply the dimensions of the living room in the drawing by 40
![Length:\ 6(40)=240\ in](https://tex.z-dn.net/?f=Length%3A%5C%206%2840%29%3D240%5C%20in)
![Width:\ 4(40)=160\ in](https://tex.z-dn.net/?f=Width%3A%5C%204%2840%29%3D160%5C%20in)
step 2
Convert inches to feet
Remember that
![1\ ft=12\ in](https://tex.z-dn.net/?f=1%5C%20ft%3D12%5C%20in)
To convert inches to feet , divide by 12
so
![Length:\ 240\ in=240/12=20\ ft](https://tex.z-dn.net/?f=Length%3A%5C%20240%5C%20in%3D240%2F12%3D20%5C%20ft)
![Width:\ 160\ in=160/12=\frac{40}{3}\ ft](https://tex.z-dn.net/?f=Width%3A%5C%20160%5C%20in%3D160%2F12%3D%5Cfrac%7B40%7D%7B3%7D%5C%20ft)
step 3
Find the area in square feet
Multiply the length by the width
![A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D%2820%29%28%5Cfrac%7B40%7D%7B3%7D%29%3D%5Cfrac%7B800%7D%7B3%7D%5C%20ft%5E2)
Convert to mixed number
![A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B800%7D%7B3%7D%5C%20ft%5E2%3D%5Cfrac%7B798%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%3D266%5Cfrac%7B2%7D%7B3%7D%5C%20ft%5E2)