Answer:
Step-by-step explanation:
1. Find the Greatest Common Factor of the numerator and denominator.
The prime factors of 35 are <u>5</u>, 7, 35
The prime factors of 60 are 2, 3, 4, <u>5</u>, 6, 10, 12, 15, 20, 30, 60
The only common factor of 35 and 60 is 5.
2. Divide the numerator and denominator by the Greatest Common Factor.
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
-g/3+1/3
Step-by-step explanation:
The answer is the D ( the last one)
Answer:
Step-by-step explanation:
Remark
The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.
Area of the circle
Area of the circle = pi * r^2
r = 12 cm
pi = 3.14
Area of the circle = 3.14 * 12^2
Area of the circle = 3.14 * 144
Area of the circle = 452.16 cm^2
Area of 1/4 of the circle
Area of 1/4 of the circle = (1/4)*452.16
Area of 1/4 of the circle = 113.04
Area of the triangle
b = r
h = r
b = 12 cm
h = 12 cm
Area = 1/2 b * h
area = 1/2 * 12 * 12
area = 72
Area of the shaded part
Shaded part = area of 1/4 of the circle - area of triangle
Area shaded part = 113.04 - 72 = 41.04
Answer area of shaded part = 41.04
