Answer:
The distance between (-1,5) and (2,5) is √9 or 3.
Step-by-step explanation:
Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.
Now to the answer. To start you use the distance formula. which is:
d=√( (x2-x1)²+(y2-y1)²)
Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.
When you solve it should look like this:
1. d=√( (x2-x1)²+(y2-y1)²)
2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*
3. d=√( (3)²+(0)²)
4. d=√( 9+0)
5. √9 = 3
The area of each triangular face is 40 square feet
<em><u>Solution:</u></em>
Given that,
Square pyramid has a base area of 64 square feet
The pyramid’s total surface area is 224 square feet
The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base
<em><u>Therefore, total surface area of square pyramid is given as,</u></em>
Total surface area = base area + 4(Area of traingular face)
Let "x" be the area of each traingular face

Thus area of each triangular face is 40 square feet
6a. By the convolution theorem,

6b. Similarly,

7. Take the Laplace transform of both sides, noting that the integral is the convolution of
and
.


where
. Then
, and

We have the partial fraction decomposition,

Then we can easily compute the inverse transform to solve for f(t) :


Answer:
I believe it would be 16
Step-by-step explanation:
8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance
Final answer: Her allowance would be 16 dollars