Answer:
answer is option A. +4,-4
First you need to change the equation to slope intercept form. You would get
y = 2x - 8
This equation gives us the answers to question c and d. The y intercept is 8 and the slope is 2. Now using this information we can now graph the equation. Since the y intercept is 8 this means that the line you will draw on the graph is going to pass through the y axis at point (0,8). So put a dot 8 spots up from the center. Then from there we use the slope to find the other points. Our slope is 2, so this means that in order to get to the next point you must go up 2 and to the right 1. Once you’ve got your next point continue until you run out of space. The to fill in the line to the left of your first point you have to do the reverse. Go down 2 and to the left 1 until you run out of space. Connect the points. Now for question b notice where your line passes through the x axis (the horizontal line on the graph) and this should be 4 spaces away from the center. Since this point is to the left of the center it’s going to be negative. So your answer would be -4.
Answer:
Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.
a^2 + b^2 = c^2
a is the width of the TV
b is the height of the TV
c is the diagonal size of the TV
a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:
(b+15)^2 + (b)^2 = (75)^2
Factoring that out, we get:
(b)^2 + 225 + (b)^2 = 5625
Then..
2b^2 = 5625 - 225
2b^2 = 5400
b^2 = 5400/2
b^2 = 2700
b = ✓2700
b = 51.9615242271 (round it to an even 52)
Next, we know that a = b + 15, so a = 67.
Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…
Step-by-step explanation:
Hey there! I'm happy to help!
The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.
If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.
We can plug in the numbers we already have to solve for L, the length of our base.
2(14.2)+2L=66
28.4+2L=66
We subtract 28.4 from both sides.
2L=37.6
We divide both sides by 2.
L=18.8
The length of the base is 18.8 meters.
Have a wonderful day!