Answer:
x = ± 10
Step-by-step explanation:
Given
x² - 100 = 0 ( add 100 to both sides )
x² = 100 ( take the square root of both sides )
x = ±
← note plus or minus, hence
x = ± 10
Answer:
f(x) = 9(5/3)^x
Step-by-step explanation:
f(x) = a(b^x)
x = 0
9 = a(b⁰)
9 = a
f(x) = 9(b^x)
x = 1
15 = 9(b¹l
b = 15/9
b = 5/3
f(x) = 9(5/3)^x
So I think the rule is that you divide two exponents with the same base, you keep the base and subtract the powers.
Given:
A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.
To find:
The expression which represents the perimeter, in centimeters, of the triangle.
Solution:
We know that
Perimeter of a triangle = Sum of length of all sides of the triangle

Now, combine like terms.


Therefore, the expression for perimeter, in centimeters, of the triangle is
.
Answer:
, where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.

Hence, the equation that represents the given situation :
