KF = 8 units ( 16/2 = 8)
Angle DEK = 88 degrees ( 44 x 2 = 88)
Angle DFE = 90 degrees
The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.
To solve, you must make one side of the equation equal to zero. We can do this by subtracting 3x on both sides of the equation.
<span>x^2 + 7x = 3x
</span> - 3x -3x
x^2 + 4x = 0.
Then we substitute the equation into the quadratic equation.

Where a = 1 b = 4 and c = 0

We first solve whats inside the square root.


Now we solve for -4 and 4.


Then divide both answer by 2

The division of any by zero is zero
So the answer are x = -4 and x = 0
Answer:
<u><em>(x+5) is not a factor of f(x)</em></u>
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Work shown above! Answer would be 2x^2 -16x + 30