Answer:
-24 + 12d = 2(d - 3) + 22
-24 + 12d = 2d - 6 + 22
-24 + 12d = 2d + 16
12d = 2d + 40
10d = 40
d = 4
Step-by-step explanation:
<span>4a - j = 7a + 3
4b - k = 7b + 3
None of the answers are true, a b are always b minus.</span>
Answer: 120!
Step-by-step explanation:
6 + 6 = 12
12 x 10 = 120
If the sum is twice the sum of 6 you would add 6 twice and then you would multiply 12 times 10.
Hope i helped! <333
Answer:
the distance is 16
Step-by-step explanation:
Hi there!
We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points
the distance formula is given as
where (
,
) and (
,
) are points
we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion
=-4
=-13
=-4
=3
now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

simplify

now add the values inside the parenthesis that are under the radical

raise everything under the radical to the second power

add under the radical

now take the square root of 256
=16
so the distance between point A and point B is <u>16</u>
Hope this helps! :)
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.