Answer:
The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.
Answer:
option D
Step-by-step explanation:
we have a right triangle
we know
c^2=a^2+b^2
c=hypotenuse
c=52 cm
a=48 cm
b= 20 cm
we substitute in the equation c^2=a^a+b^2
so we have
52^2=48^2+20^2
52= sqrt(48^2+20^2)
52= sqrt(2304+400)
52= sqrt(2704)
52cm=52cm
so c=52 cm
so the option D is the correct answer
Answer:
Step-by-step explanation:
Angles x and z are supplementary, meaning that they add up to 180. From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.
angle z = 90 - 20 so
angle z = 70 degrees. And
angle z + angle x = 180. Subbing in our value for z:
70 + angle x = 180 and
angle x = 180 - 70 so
angle x = 110 degrees
Answer:
Step-by-step explanation:
5/8x = 1/2x + 2
5/8x - 1/2x = 2
46x = 2
x=16
So you want to get x by itself so you. First you get 5/8x and 1/2 and subtract 1/2 from both sides. Then find the common demonantor for both numbers. After use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. Finally check the solution by substituting 16 for x in the original equation.
