Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
You multiply 4 by 3 because he got 4 stamps each week for 3 weeks. That leads to it being 12 stamps in total.
He wants 6 stamps out of 12 on each page of his album, so you divide 12 by 6 and get two.
He will use 2 pages.
The tools used were mathematical reasoning, multiplication and division.
Using the slope concept, it is found that the distance from point A to point B is of 887 feet.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>.
It's also the tangent of the angle of depression.
In this problem, the vertical change is of 126 feet.
At point A, the angle is of 6º, while the horizontal position is of
, hence:



At point B, the angle is of 22º, while the horizontal position is of
, hence:



Hence, the distance in feet is of:

More can be learned about the slope concept at brainly.com/question/18090623

Step-by-step explanation:
1. B is true
2 . I don't know
3.
Answer:
Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
Step-by-step explanation:
Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:
If order matters =
(4 x 3 x 2 x 1) / 2 = X
24/2 = X
12 = X
If the order doesn't matter =
12/2 = X
6 = X
Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.