<em><u>Answer:</u></em>
<u>x = 1, XZ = 48</u>
<em><u>Step-by-step explanation:</u></em>
So you already have the diagram with the number labeled,
4(x + 5) and 2(x + 11)
We know that Y is the midpoint between X and Z so we know that XY = YZ:
4(x + 5) = 2(x + 11)
Let's solve the equation for x:
4x + 20 = 2x + 22 (Distributive Property)
Subtract 20 from both sides:
4x = 2x + 2
Subtract 2x from both sides:
2x = 2
Divide both sides by 2:
<u>x = 1</u>
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So now we know that x = 1, we want to find XZ:
XZ = 4(x + 5) + 2(x + 11)
We can plug in x (1):
XZ = 4(1 + 5) + 2(1 + 11)
Simplify:
XZ = 4(6) + 2(12)
XZ = 24 + 24
<u>XZ = 48</u>
2^-1(5)^3(7)^4/2^6(5)^-3(7)^3= (5)^6(7)/2^7
Answer:
2
Step-by-step explanation:
U need to simplify 5×5 to 25,move the negative to the left, then simplify the brackets
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
