Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
Answer:
sqrt x-4
Step-by-step explanation:
Answer:
"
is irrational for every nonzero integer x"
Step-by-step explanation:
The original statement is
"
is rational for some nonzero integer x."
The negation is technically:
"It is NOT true that
is rational for some nonzero integer x."
So it's expressing that it's false that
can be rational for some nonzero integer x.
This just means that
is always irrational when x is a nonzero integer.
Which can be worded as
"
is irrational for every nonzero integer x"
The answer is
AB = 6.
External value x (external value + internal value) =
External value x (external value + internal value) of the other side
Substitute, transpose, and simplify.
TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4
To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6
The answer is <span>2(–4y + 13) – 3y = –29
Step 1: Express </span><span>x from the second equation
Step 2: Substitute x into the first equation:
The system of equations is:
</span><span>2x – 3y = –29
x + 4y = 13
Step 1:
</span>The second equation is: x + 4y = 13
Rearrange it to get x: x = - 4y + 13
Step 2:
The first equation is: 2x – 3y = –29
The second equation is: x = - 4y + 13
Substitute x from the second equation into the first one:
2(-4y + 13) - 3y = -29
Therefore, the second choice is correct.