Step-by-step explanation:
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What is the slope, m, and y-intercept for the line that is plotted on the grid below?
2 answers:
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Answer:
x = 32°
Step-by-step explanation:
Given:
Line AB║CD
Angle 1 = (2x + 15)°
Angle 4 = 101°
Find:
Value of x = ?
Computation:
We know that Angle 1 and Angle 4 stay on same line , so Angle 1 and Angle 4 are liner pair.
∴ Angle 1 and Angle 4 = 180°
⇒ (2x + 15)° + 101° = 180°
⇒ 2x + 116° = 180°
⇒ 2x = 180° - 116°
⇒ 2x = 64°
⇒ x = 32°
Therefore value of x 32°
Answer:
Step-by-step explanation:
A standard polynomial in factored form is given by:
Where <em>p</em> and <em>q</em> are the zeros.
We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.
First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.
Therefore, we acquire:
Simplify:
Expand the second and third factors:
Hence, our function is now:
It equals 320 when <em>x</em> = 4. Therefore:
Solve for <em>a</em>. Evaluate:
So:
Our third-degree polynomial equation is: