Answer:
The answer is
Step-by-step explanation:
Given: f(x) = 3 + 2x - x²
To compute f(3 + h) substitute x = 3 + h.
Similarly, to compute f(h) simply substitute x = h.
We are asked to compute 
f(3 + h) = 3 + 2(3 + h) - {(3 + h)²}
= 3 + 6 + 2h - {9 + 6h + h²}
= 9 + 2h - 9 - 6h - h²
= - 4h - h²
Now, f(h) = 3 + 2h - h²
f(3 + h) - f(h) = -4h - h² - 3 - 2h + h²
= -6h - 3
which is the required answer.
Use the formula (n - 2) * 180 to find the sum of the interior measures of a polygon.
n stands for the number of sides that the polygon has, so substitute 10 for n since a decagon has 10 sides.
(10 - 2) * 180, start by solving inside the parentheses and subtracting 10 and 2.
(8) * 180, multiply.
B. 1,440 is your answer.
Answer:
angle y = 49°
Step-by-step explanation:
If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.
Answer:
b=-19
Step-by-step explanation:
We know that one of the solutions is x=-4/5
That is a solution to x. So if we plug in (-4/5) into the x in the equation, then it should equal 0.
5(-4/5)^2+b(4/5)+12=0
Now, just solve for b.
5(16/25)+b(4/5)+12=0
(16/5)+(4/5)b+12=0
(76/5)+(4/5)b=0
(4/5)b=-(76/5)
b=-19
