Answer:
16
Step-by-step explanation:
Given the definitions of f(x) and g(x) below,
f(x) = x^2+ x + 10
g(x) = -5x-3
f(g(x)) = f(-5x-3)
f(-5x-3) = (-5x-3)²+((-5x-3)+10
f(-5x-3) = 25x²+30x+9-5x-3+10
f(-5x-3) = 25x² +25x+16
f(g(x)) = 25x² +25x+16
f(g(-1)) = 25(-1)² +25(-1)+16
f(g(-1)) = 25-25 + 16
f(g(-1)) = 16
Hence f(g(-1)) is 16
To add with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are. When adding with powers, the terms that combine always have exactly the same variables with exactly the same powers
http://www.wikihow.com/Add-Exponents#Adding_Variables_with_Exponents_sub
Answer:
x = 24
Step-by-step explanation:
ED is the angle bisector of ∠GEH , thus the following ratios are equal
=
, that is
=
( cross- multiply )
56(x + 4) = 1568 ( divide both sides by 56 )
x + 4 = 28 ( subtract 4 from both sides )
x = 24
Answer:
area = 39.25 cm²
Step-by-step explanation:
The top and bottom area of a cheese wedge is shaped like a sector of a circle so finding the area of the top surface of this wedge is same as applying the area of a sector.
Top surface area(sector) = ∅/360 × πr²
where
∅ = central angle
r = radius
Top surface area(sector) = ∅/360 × πr²
area = 45/360 × π × 10²
area = 1/8 × 100π
area = 100π/8
area = 100 × 3.14/8
area = 314
/8
area = 39.25 cm²
Answer:
no
Step-by-step explanation: