Answer:
3(x + 1)(3 - x).
Step-by-step explanation:
(x + 3)^2 - 4x^2
Using the identity a^2 - b^2 = (a - b)(a + b), we have
(x + 3 - 2x)(x + 3 + 2x)
= (-x + 3)(3x + 3)
= 3(x + 1)(3 - x)
Answer:
1.) 5
2.) 14
Step-by-step explanation:
As given,
the expression - 3x + 2
1.)
Evaluate the expression when x is 1
⇒ 3x + 2 = 3(1) + 2 = 3+2 = 5
2.)
Evaluate the expression when x is 4
⇒ 3x + 2 = 3(4) + 2 = 12+2 = 14
The pizza pirate ate the whole pizza!
2(days) + 3(a few days) = 5
20 x 5 = 100%
Therefore, the whole pizza is gone. Don't worry, I'll buy a new one!
Step-by-step explanation:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite to each other. The formula A=12bh is used fo find the area of the top and bases triangular faces, where A=area, b=base, and h = height.
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
