Answer:
x = 13
Step-by-step explanation:
If Q is the midpoint of PR...then
PR = 2QR...since QR is half the length of PR
;9x - 31 = 86
;9x = 86 + 31
;9x = 117
Hence x = 117/9 = 13
Answer:
1, -6
Step-by-step explanation:
Since there are alike numbers, add them together.
4x+x= 5x
Now the function is: f(x)= +5x-6
The function is in +bx+c form.
So find the factors of a x c = b.
Factors of -6(a) that fits (b)5 is (-1,6).
Then you just factor it:
f(x)= +5x-6
(x-1)(x+6)
x-1= 0 x+6=0
+1 +1 -6 -6
x=1 x=-6
Those are the real zeroes: 1, -6
The value of cosB ≅ 0.447 to three decimal places.
Since angle A and angle B are acute and tanB = 2, we find cosB from the trigonometric identity
tan²B + 1 = sec²B
<h3 /><h3>Find SecB</h3>
So, substituting the value of tanB into the equation, we have
tan²B + 1 = sec²B
2² + 1 = sec²B
4 + 1 = sec²B
5 = sec²B
Taking square root of both sides, we have
√sec²B = ±√5
secB = ±√5
<h3>
</h3><h3>
Find CosB</h3>
Since secB = 1/cosB, we have that
1/cosB = ±√5
⇒cosB = ±1/√5
Since B is acute, cosB will be positive.
So, cosB = 1/√5
cosB = 1/2.2361
cosB = 0.4472
cosB ≅ 0.447 to three decimal places.
So, the value of cosB ≅ 0.447 to three decimal places.
Learn more about cosine here:
brainly.com/question/10417664
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