9514 1404 393
Answer:
up: (-3, 5); down: (-3, -3); right: (1, -2); left: (-6, -2)
Step-by-step explanation:
As you know, the coordinates of a given point tell you the distance ...
(right, up)
So, a displacement 7 units up adds 7 to the second coordinate value:
A(-3, -2) ⇒ A'(-3, -2+7) = A'(-3, 5) . . . . 7 units up
Likewise, 1 unit down subtracts 1 unit from the second coordinate value:
A(-3, -2) ⇒ A'(-3, -3) . . . . 1 unit down
__
Similarly, left-right changes affect only the first coordinate. Displacements right are added; displacements left are subtracted.
A(-3, -2) ⇒ A'(-3+4, -2) = A'(1, -2) . . . . 4 units right
A(-3, -2) ⇒ A'(-6, -2) . . . . 3 units left
Answer:
The equivalent expression can be given as:
⇒ 
Step-by-step explanation:
Given expression:
To write an equivalent expression:
Solution:
In order to write an equivalent expression, we will combine the like terms. By like terms, we mean the terms with the same variable constant.
For example : 
and 
are like terms.
We have:
Combining like terms :
⇒ 
⇒
Thus, the equivalent expression can be given as:
⇒
Answer: 2( x - 13 ) ≥ 17
Step-by-step explanation:
G(x) = (x+2)(x+3), this is from factoring then replace x with -4 and the equation should look like this g(-4)-7= (-4+2)(-4+3)-7= -5,
Answer:
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just 
. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
Therefore as we suspected, the answer is C.
