To find out whether the expressions equal 9, plug the values of x and y into each problem. For example, the first expression would be 4 to the power of 2 + 6×1/3, which would simplify to 16+2 which is 18, not 9. The expressions that do equal 9 are B, D, and E.
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Answer:
k = -2
Step-by-step explanation:
Here Given that g(x) = k f(x)
From the graph we can observe that at x = -3 they gave the values of f(x) and g(x) which are
f(-3) = 1
g(-3) = -2
In the given equation substitute that x = -3
we get g(-3) = k f(-3)
on substituting the values we get
k = -2
Answer: Fraction: 27/100 & Decimal: 0.27
Explanation: If that line were to continue, it would eventually go all the way up to 10/10. Each integer has 10 spaces between them, so you would multiply 10/10 by 10 on top and bottom to get 100/100 because there would be a total of one hundred spaces. The decimal is placed at the 27/100 spot so that’s your fraction, and for the decimal you just divide 27 by 100 to get 0.27.