9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
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You seem to have ...
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<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.
Multiplication increases the number of times the base is a factor.
Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.
Answer:
Your speed is 135 miles per hour.
Step-by-step explanation:
Mark me brainliest if I helped:D
We know that
<span>the triangle DEF is translated following the rule
</span>(x,y)-----> (x+2,y+2)
in the translation the figure maintains its dimensions
so
the area of triangle DEF is equal to the area of the triangle D’E’F’
therefore
the answer is
<span>The area of triangle D’E’F’ is equal to the area of triangle DEF. </span>
Answer:
(x+5)² = 16
Solution: -1 and -9
Step-by-step explanation:
Given the quadratic equation X^2+10x+22=13
Subtract 22 from both sides
X^2+10x+22-22=13-22
x^2+10x = -9
Complete the square
Add the square of half of coefficient of x to both sides
coefficient of x = 10
half of coefficient of x = 10/2 = 5
square of half of coefficient of x= 5² = 25
Add 25 to both sides
x²+10x + 25 = -9+25
(x+5)² = 16
Hence the required equation is (x+5)² = 16
(x+5)² = 16
square root both sides
√(x+5)² = √16
x+5 = √16
x +5 = ±4
x = +4 - 5 and -4-5
x = -1 and -9
Hence the solution to the equation is -1 and -9
