Answer:
In the operation, simplify
9-a² = (3-a)(3+a)
Factorize
4a²-4a-24-------------------divide each term by 4
a²-a-6-------------------------factorize
a²-3a+2a-6
a(a-3)+2(a-3)
(a+2)(a-3)
Factorize
a²-6a+9
a²-3a-3a+9
a(a-3)-3(a-3)
(a-3)(a-3)
Rewrite operation as
Multiply by the recipricol
cancel the similar terms
Answer:
28.26 cm^2
Step-by-step explanation:
Mathematically, we have the area of a sector as;
theta/360 * pi * r^2
theta is the angle subtended at the center of the circle by the sector which is 90 degrees
r is the radius of the circle given as 6 cm
Substituting these values;
90/360 * 3.14 * 6^2 = 28.26 cm^2
Answer:
f(x) = -7x + 1
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is slope
b is y-intercept
--------------------------
y decreases by 7 for each increase of 1 in x
slope = -7
to find "b" plug in one of the points and m = -7
using point (3, -20)
y = mx + b
-20 = -7(3) + b
-20 = -21 + b
b = 1
The equation is
f(x) = -7x + 1
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
