Answer:
x^3-10x^2+x+120
Step-by-step explanation:
Assuming you mean roots -3, 5, 8
These happen when we have (x+3)(x-5)(x-8)=0
Expand this
(x^2-2x-15)(x-8)=0
=x^3-2x^2-15x-8x^2+16x+120
=x^3-10x^2+x+120
Answer:
Step-by-step explanation:
2 consecutive integers represented as variables:
x, x + 1
Greater one: x + 1
Lesser one: x
Write as an equation
2(Greater) + 13 = 3(Lesser)
Substitute in known values
2(x + 1) + 13 = 3(x)
Multiply
2x + 2 + 13 = 3x
Subtract 2x from both sides of the equation
2 + 13 = x
Add 2 + 13 to simplify
x = 15
Lesser = x = 15
Greater = x + 1 = 15 + 1 = 16
Hope this helps :)
Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
