Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
Answer:

Step-by-step explanation:
We have the product,
.
It is known that,
'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.
So, we get,
.
⇒ 
⇒ 
So, the resulting product is
.
Answer:

Step-by-step explanation:
<u>Trigonometric Identities</u>

<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
Therefore, using the trig identities and ratios:

Answer:
V= 103.9 mm^3 and 72.7 mg
Step-by-step explanation:
Reasons
Answer:
d.
Step-by-step explanation:
1) to re-write the given equation from 2y=4x-6 into y=2x-3, then
2) to find the equation like y=2x±... among the a/b/c/d: it is d. y=2x+14. Then
3) to check the given point (-3;8) of the y=2x+14; ⇒ 8=8.
4) correct answer is d. y=2x+14.