Answer:
Please see below.
Step-by-step explanation:
I will be using * to express multiplication, and ^ to express squares.
A) Can you find the area of the shape?
Yes, we can.
We can simply multiply 5x - 3 by 2x, as seen below.
(2x)(5x - 3)
2x * 5x = 10x^2
2x * -3 = -6x
Area = 10x^2 - 6x
B) Can you find the perimeter of the shape?
Yes.
Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.
2x * 2 = 4x
2(5x - 3) = 10x - 6
4x + 10x - 6 = 14x - 6
Perimeter = 14x - 6
C) If x = 2, what is the area of the shape?
We can just plug in 2 wherever our x shows up.
5x - 3 = 5 * 2 - 3 = 10 - 3 = 7
2x = 2 * 2 = 4
7 x 4 = 28
We can also use our previous formula from A.
10x^2 - 6x
10 * 2^2 - 6 * 2
10 * 4 - 12
40 - 12
28
Our area if 28 if x = 2
Please let me know if any of these are incorrect.
Answer:
(x+y)² =(x+y)(x+y) Then you FOIL (First, outer, inner, last)
(x+y)² =(x+y)(x+y) = xx + xy + xy + yy [and when you combine like terms] = x² + 2xy + y²
(x+y)3 = (x² + 2xy + y²)(x+y) Then you FOIL (First, outer, inner, last)
(x+y)3 = (x² + 2xy + y²)(x+y) = x2x +2xxy + xy2 + x2y + 2xyy + y2y [and when you combine like terms] = x3 + 3x2y+ 3xy2 + y3
Step-by-step explanation:
$313.80
for forty hours she got paid $288
and for the final 15, she got $28.80
Well, from what I can tell he has 1 50 cent piece, 2 Dimes, and 2 Pennies. Meaning 5 objects in total, considering that it asks for "at least ten cents" that would mean the 2 Dimes and the 1 50 cent piece.
Since that is 3 objects out of the 5, being 3/5ths, that would mean he has a 60% chance or probability for the first draw.
Hopefully that helps. ^ ^
{-Ghostgate-}
