Answer:
D is 90 E is 81 F is 99
Step-by-step explanation:
D is 90 because a straight angle equals 180 degrees. E is 81 because it is directly across from 81. F is 99 because 180-81 is 99
<h3>
Answer: Choice D) -6 < -5</h3>
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Explanation:
Let's go through the answer choices
- A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
- B) This is also false. The value 0 is smaller than 2. A number line might help show this.
- C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
- D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.
Answer:
Area = length x width
Area = (3width - 13) x width
Area = 3 width^2 -13width
56 = 3width^2 -13 width
Width = 7
Length = (3 *7) -13 = 8
Step-by-step explanation:
Step-by-step explanation:
can't really use the Pythagorean because you don't know this is a right triangle.
use the fact that they are similar
so
3/6 = x/12 where x is FE
cross multiply
6x = 36 therefore FE = 6
then 6/12 = y/9 where y is FD
cross multiply
12y = 54 = 54/12 therefore FD = 4.5
In order to find any of the info we need we have to find the first derivative of the equation. If
, then
. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
