Answer:
C
Step-by-step explanation:
NQP is a triangle. It has 3 angles given.
We know
<em>sum of 3 angles in a triangle is 180 degrees</em>
<em />
We are Given:
∠N = 2x
∠Q = 2x + 2
∠P = 134
THus, we can write and solve for x first:
∠N + ∠Q + ∠P = 180
2x + 2x + 2 + 134 = 180
4x + 136 = 180
4x = 180 - 136
4x = 44
x = 44/4
x = 11
Now, measure of ∠NQP is 2x + 2, so substituting the value of "x", we have:
2x + 2 = 2(11) + 2 = 22 + 2 = 24 degrees
So,
∠NQP = 24°
Correct answer is C
Answer:4/3
4/3
Step-by-step explanation:
Answer:
7x^2+15x+31
Step-by-step explanation:
(3x+5)(x+5)
FOIL
3x^2+15x+5x+25
(3x^2+20x+25)+(4x^2-5x+6) = 7x^2+15x+31
The remainder theorem says that dividing a polynomial <em>f(x)</em> by a 1st-degree polynomial <em>g(x)</em> = <em>x</em> - <em>c</em> leaves a remainder of exactly <em>f(c)</em>.
(a) With <em>f(x)</em> = <em>px</em> ³ + 4<em>x</em> - 10 and <em>d(x)</em> = <em>x</em> + 3, we have a remainder of 5, so
<em>f</em> (-3) = <em>p</em> (-3)³ + 4(-3) - 10 = 5
Solve for <em>p</em> :
-27<em>p</em> - 12 - 10 = 5
-27<em>p</em> = 27
<em>p</em> = -1
(b) With <em>f(x)</em> = <em>x</em> + 3<em>x</em> ² - <em>px</em> + 4 and <em>d(x)</em> = <em>x</em> - 2, we have remainder 8, so
<em>f</em> (2) = 2 + 3(2)² - 2<em>p</em> + 4 = 8
-2<em>p</em> = -10
<em>p</em> = 5
(you should make sure that <em>f(x)</em> was written correctly, it's a bit odd that there are two <em>x</em> terms)
(c) <em>f(x)</em> = 2<em>x</em> ³ - 4<em>x</em> ² + 6<em>x</em> - <em>p</em>, <em>d(x)</em> = <em>x</em> - 2, <em>R</em> = <em>f</em> (2) = 18
<em>f</em> (2) = 2(2)³ - 4(2)² + 6(2) - <em>p</em> = 18
12 - <em>p</em> = 18
<em>p</em> = -6
The others are done in the same fashion. You would find
(d) <em>p</em> = 14
(e) <em>p</em> = -4359
(f) <em>p</em> = 10
(g) <em>p</em> = -13/2 … … assuming you meant <em>f(x)</em> = <em>x</em> ⁴ + <em>x</em> ³ + <em>px</em> ² + <em>x</em> + 20
Oh dear, this is so troll but acting oblivious is probably what I would do, and if action is taken, well...run xD
