Answer:
x = ±5
Step-by-step explanation:
x² - 25 = 0
x² = 25
√x² = √25
x = ±5
Check:
5² - 25 = 0
-5² - 25 = 0
25 - 25 = 0
Answer:
$1.50
Step-by-step explanation:
There are 8 pints in a gallon so divide 12 and 8 to find the cost of 1 pint
Reduce the expression, if possible, by cancelling the common factors.
Answer: The average rate of change of Jack's investment from the third year to the fifth year is $6.43
Step-by-step explanation:
The function that defines the value of his investment after x years,
Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.
Answer:
The answers are;
m = 9, e = 9
Step-by-step explanation:
The question relates to right triangles with special properties;
The given parameters of the given right triangles are;
The measure of an interior angle of the triangle = 45°
The length of the given leg length of the triangle = (9·√2)/2
The length of the other leg length of the triangle = n
The length of the hypotenuse side = m
A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal
Therefore;
The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2
∴ n = (9·√2)/2
n = (e·√f)/g
Therefore, by comparison, we have;
e = 9, f = 2, and g = 2
By Pythagoras's theorem, we have;
m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9
m = 9.
Answer:
The second option is the answer.
Step-by-step explanation:
Do f(x) first, and then plug that into g(x).
