11. Take the logarithm, base X.
a² - ab = 10
Since we are given that b = a - 2, we can substitute for b to get
a² - a(a -2) = 10
a² - a² + 2a = 10 . . . . . eliminate parentheses
a = 5 . . . . . . . . . . . . . . simplify, divide by 2
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Check: a² = 5² = 25
ab = 5·3 = 15
X^25/X^15 = X^10 . . . . . the answer works
Answer:
12c +9 = Perimeter
Step-by-step explanation:
The perimeter of a triangle is found by adding all the sides
3c+4 + 5c-2 + 4c +7 = Perimeter
Combine like terms
12c +9 = Perimeter
Answer:
x=2.5
Step-by-step explanation:
Solve for x in this systems of equations, we already have two values which equal y so half the work is finished for us.
Starting with the equation:
Add x to both sides to remove the negative x on the right side of the equation:
Subtract 12 from both sides to remove the 12 on the left side of the equation:
Divide both sides by 2 to cancel out the x coefficient
Answer:
V = 300 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
Here A = 15 and h = 20 , then
V = 15 × 20 = 300 cm³
