9514 1404 393
Answer:
2
Step-by-step explanation:
The only prime factor of 32 is 2. It is also a factor of 24, so ...
2 is the greatest prime factor of 24 and 32.
Answer:
23 floors
Step-by-step explanation:
Subtract 7 from 30:
30 - 7
= 23
So, she traveled 23 floors.
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
B.
Step-by-step explanation:
First in order to solve this problem we need to simplify the answer choices.
A. 6×8 + 6×6 = 48+ 36
B. 12×4 + 12×1=48+12
C. 4×44 + 4×3=176+12
D. 8×6 + 8×4 = 48+32
As you can see there is one expression that is equivalent to 48+12. Answer choice B is correct.
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
