Given:
The graph of function g(x) is a transformation of the graph of function f(x) = x²
As shown: the graph of g(x) is open down
So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²
And there is horizontal compression so, the factor of compression will be > 1
So, the function will be ⇒ -2x²
Finally, there is a vertical shift down 3 units
So,
An angle bisector divides an angle into two equal halves.
The measure of angle is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects
Because line PC bisects , then it means that the measure of RPD is twice the measure of CPD:
So, we have:
Substitute
Divide both sides by 2
Apply symmetric property of equality:
Hence, the measure of angle is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
Answer:
The answer is A: 5x + 10y > 30. That is, the combination of boxes must be greater than 30 since the requirement is to have more than 30 lb of nails.
Step-by-step explanation:
The worker can buy a combination of boxes, as long as the total is greater than 30 lb. Multiply 5 lb by x and add that to 10 lb times y to get the total, which must exceed 30 lb.
Answer: B) reflection over the y-axis
-2(x + 5) = 2 |use distributive property: a(b + c) = ab + ac
-2x - 10 = 2 |add 10 to both sides
-2x = 12 |divide both sides by (-2)
x = -6