Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Area of the triangle = (1/2)*base* height = (1/2)*3*6 = 9 sm²
We have 4 triangles like this one ,
so area of 4 triangles = 9*4 = 36 cm².
Area of the square = 3*3 = 9 cm²
Surface area here means area all triangles + area of the square =36 +9 =
= 45 cm ²
Answer is 45 cm².
Answer:
Consecutive integers:
x
(x+1)
(x+2)
Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:
x+2(x+2) = 4(x+1)-5
Step-by-step explanation:
Answer:
18x - 9
Step-by-step explanation:
Factor the common factor of 9 first which gives 
is the difference of two squares and factors into (2x + 1)(2x - 1)
The complete factorization of
is 9(2x + 1)(2x - 1).
So 9(2x - 1) = 18x - 9 is a factor of the original expression.
Answer:
= 45.791666666666 mm^3
Step-by-step explanation:
Volume of a cone is given by
V = 1/3 pi r^2 h
We know the diameter = 5
The radius is 1/2 the diameter
r = 5/2
The height is 7
Using pi = 3.14
V = 1/3 *(3.14) * (5/2)^2 *7
= 1/3 *(3.14) * 25/4 *7
= 45.791666666666