We will use the Reminder theorem.
The polynomial f ( x ) is divisible by x - a when f ( a ) = 0.
For the 1st one:
f ( - 2 ) = ( - 2 )³ + 7 · ( - 2 )² + 14 · ( - 2 ) + 8 =
= - 8 + 28 - 28 + 8 = 0
For the 2nd one:
f ( 5 ) = 3 · 5³ - 12 · 5² - 4 · 5 - 55 =
= 375 - 300 - 20 - 55 = 375 - 375 = 0
Answer;
1. ( x + 2 )
2. ( x - 5 )
Answer:
C. ,
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the value of x and y for our given diagram.
We know that when two line intersect each other, then vertical angles are congruent.
Using vertical angles theorem, we will get a system of equations as sown below:
From equation (1), we will get:
Upon substituting this value in equation (2), we will get:
Therefore, the value of y is 10.
To find the value of x, we will substitute in equation (1) as:
Therefore, the value of x is 50 and option C is the correct choice.
<h2>
Answer:</h2><h2>
The kite is 186.75 metres from the ground</h2>
Step-by-step explanation:
The length of the string, hypotenuse = 225 m
Angle of elevation, θ = 56°
Sine of an angle is the ratio of the opposite side over the hypotenuese.
Sin θ =
substitute the values in the formula,
Sin 56° =
h = 225 (Sin 56°)
= 225 (0.83)
= 186.75 metres
The kite is 186.75 metres from the ground
10x-20=180 6x+8
-20 -20 104
10
10x= 160
/10 /10
x=16