Answer:
Step-by-step explanation:
<u>Given</u>
- Q(s) = -4s^3 + 7s^2 - 24;
- s = -4 and 1
<u>Verifying zeroes</u>
Q(-4) =
- -4(-4)^3 + 7(-4)^2 - 24 =
- 256 + 112 - 24 =
- 344
- Incorrect as 344 ≠ 0
Q(1) =
- -4(1)^3 + 7(1)^2 - 24 =
- -12 + 7 - 24 =
- -29
- Incorrect as -29 ≠ 0
Answer:
x= 200
Step-by-step explanation:
The given equation is:
1/5 x - 2/3 y = 30
The value of y is 15
Put the value of y in the given equation:
1/5 x - 2/3(15) = 30
1/5 x- 10 = 30
Take the L.C.M of the denominator
x-50/5 = 30
Move the denominator to the R.H.S
x-50 = 30*5
x-50 = 150
Combine the like terms
x= 150+50
x = 200
The value of x is 200...
<u>Given</u>:
Given that the isosceles trapezoid JKLM.
The measure of ∠K is 118°
We need to determine the measure of each angle.
<u>Measure of ∠L:</u>
By the property of isosceles trapezoid, we have;



Thus, the measure of ∠L is 62°
<u>Measure of ∠M:</u>
By the property of isosceles trapezoid, we have;

Substituting the value, we get;

Thus, the measure of ∠M is 62°
<u>Measure of ∠J:</u>
By the property of isosceles trapezoid, we have;

Substituting the value, we get;

Thus, the measure of ∠J is 118°
Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°