Answer:
x = - 5, x = - 11
Step-by-step explanation:
Given
y = 
The denominator cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
(x + 5)(x + 11) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 11 = 0 ⇒ x = - 11
Thus
x = - 11 and x = - 5 are excluded values.
Answer:
b=10
Step-by-step explanation:
you need to simplify it
2n n2 3n 2x 2n 3n x 3 x 2x 3n 3x
10v⁶y⁷ = <u>2</u> * 5 * <u>vvvvv</u>v * <u>yyy</u>yyyy
6w⁴v⁵y³ = <u>2</u> * 3 * wwww * <u>vvvvv</u> * <u>yyy</u>
GCF: 2v⁴y³
<em>The LCM is the GCF and everything leftover</em>
LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)
= (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)
= 30 v⁵ w⁴ y⁷
Answer: LCM = 30v⁵w⁴y⁷
Answer:
The height of the light pole to the nearest foot is approximately 50 feet
Step-by-step explanation:
The parameters given in the question are;
The length of the cable = 63 feet
The angle of elevation of the cable to the top of the light pole = 52°
With the assumption that the light pole is perpendicular to the ground, the figure formed by the light pole, the distance of the of the cable from the base of the light pole and the length of the cable form a right triangle
The question can be answered by using trigonometric relations for the sine of the given angle as follows;

The opposite leg length of the formed right triangle = The height of the light pole
The hypotenuse length = The length of the cable = 63 feet
The angle, θ = The angle of elevation = 52°
Plugging in the values, gives;

∴ The height of the light pole = 63 feet × sin(52°) ≈ 49.645 feet
The height of the light pole to the nearest foot ≈ 50 feet.