Answer:
q= -4
Step-by-step explanation:
First, simplify 4x+2y=5
2y=-4x+5
y=-2x+5/2
q+2 has to equal to -2
q = -4
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + k) represents a horizontal translation of f(x)
• If k > 0 then shift left by k units
• If k < 0 then shift right by k units
Here the shift is 4 units to the left, thus
y = (x + 4)²
Given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then shift up by k units
• If k < 0 then shift down by k units
Here the shift is 3 units down, thus
y = (x + 4)² - 3 → C
Answer:
No, 55 and 101 are not multiples of 2, 3 and 9
Step-by-step explanation:
Answer:
Thickness of rectangle prism is <em>20 inches.</em>
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Step-by-step explanation:
Given:
Surface area of rectangular prism, A = 992 sq inches.
Height, h = 12 inches
Width, w = 8 inches
To find:
Thickness / length of prism, 
= ?
Solution:
First of all, let us learn the formula for surface area of a rectangular prism.
Formula for surface area of a prism is given as:
As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.
Putting all the given values in the formula to find the value of :
So, the answer is Thickness of rectangle prism is <em>20 inches.</em>
Answer:
B
Step-by-step explanation:
There are 2 operations happening on the left side to x.
1. x is being multiplied by -4.
2. 2/5 is being added to -4x.
If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.
To solve an equation or an inequality, you do the opposite operation in the opposite order.
Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.
Answer: B
