Answer:
x=2
y=1
Step-by-step explanation:
-6x+12=0
take 12 to the other side &it becomes negated then equate
-6x=-12
the negatives cancel out each other and therefore the answer is positive
x=2
4y+5=9
take 5 over to the other side &it becomes negated
4y=9-5
4y=4
y=1
Answer:
an equivalent expression: -14(-8x+12y)=112x-168y
factor of an equivalent expression: 36a−16=4(9a-4)
Answer:
1. a ≥ -3 and a ≤ 3
I am assuming you mean to have an = sign as well
Step-by-step explanation:
|a| < =3
we get two solutions, one positive and one negative
remember to flip the inequality for the negative
a<=3 and a >= -3
Answer:
(a)10 modules per floor
(b)Two different rectangular prism
Step-by-step explanation:
<u>Part A</u>
Number of modules=130
Number of stories=13
Since all of the modules were divided evenly among the number of stories:
Number of module per floor =130÷13=10 modules per floor
There would be 10 modules on each floor.
<u>Part B</u>
Next, we determine how many different rectangular prisms could be made from the number 10 derived above.
Step 1: List the factors of 10
Factors of 10 are: 1,2,5 and 10
Step 2:
Form a product of three terms which equals 10 using the factors derived above. We have two possible combinations:
Therefore, two different rectangular prisms could be made from the number of modules on each floor.
Answer:
(x, y, z) = (4, 6, 7)
Step-by-step explanation:
The problem is inconsistent and cannot be solved.
The only answer that makes any sense is the first one. Point J is the circumcenter, so the radii are equal, meaning 2x+2=2y-2 or y = x+2. Only the first answer matches.
The drawing shows FI=10, which is the only way z = 7 makes sense, but the wording says JF=10, which agrees with (x, y) = (4, 6). Both those segments cannot be 10.