To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
When we choose to do cosine we do adjacent/hypotenuse so it would be...
Cos(32)= x/23
Than solve for x
X= 19.18 o 19.2
So if QR and PQ are the same ( which they are bc the angles and other sides are the same) 3n-1= 5n-7 so -1= 2n -7 so 6 = 2n so n = 3 then QR is 5n -7 so 5 x 3 is 15-7 is 8 so the answer is 8. Hope this helps :)
Answer:
EBC and CBF are supplementary.
EBD=66
Step-by-step explanation:
Since vertical angles are congruent, ABE=CBF
ABE=40-x
40-x + 6x-30=90
5x+10=90
5x=80
x=16
16(6)-30=66
Answer:
4.5 or 4 1/2
Step-by-step explanation:
First, you multiply 3 * 3
Second, you divide 9 / 2 = 4.5
Lastly, have a beautiful day! :)
