Answer:
.5 miles per 1hr
Step-by-step explanation:
the unit rate is distance per 1 hr. your goal is to change 3/4 hr to 1 hr. how do you do this? you multiply the inverse of 3/4 (4/3) by both sides. ex
3/8mile per 3/4hr
×4/3
.5 mile per 1 hr
Answer:
(f o g) (x) = 36x² + 3
(g o f) (x) = 6x² + 18
Step-by-step explanation:
f(x) is x² + 3
g(x) is 6x
(f o g) (x) means for all xs in f replace it with g(x) or 6x
(f o g) (x) = (6x)² + 3 - see 6x is in place of x and 6x is g(x)
(f o g) (x) = 36x² + 3
(g o f) (x) = 6(x² + 3)
(g o f) (x) = 6x² + 18
Answer:
C
Step-by-step explanation:
Remark
The formula that relates tangents and secants using the information given is
The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.
The algebra is much simpler.
y^2 = 27 ( 27 + x)
Givens
y = 45
27 is the distance from the external point to the circle
27 + x is the entire length of the secant.
Solution
45^2 = 27(27 + x) Remove the brackets
2025 = 729 + 27x Subtract 729 from both sides
2025 - 729 = 27x
1296 = 27x Divide by 27
1286/27 = x
x = 48
Formula: Area = length * width
Substitute in what you know: 42 = length * 6
Divide both sides by 6 to get the length: length = 7
Formula: Perimeter = 2 (length + width)
Substitute in what you know: P= 2 (7+6)
Solve: Perimeter = 26 ft
The total amount of money is 65x + 10 cents.
<h3>Sum of coins</h3>
Given the following coins value
x dimes, (x+2) nickels, and 2x quarters
If value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cent, the the total coin is cent is expressed as 10x + 5(x + 2) + 25(2x)
Total in cents. = 10x + 5(x + 2) + 25(2x)
Total in cents = 10x + 5x + 10 + 50x
Simplify
Total in cents = 65x + 10
Hence the total amount of money is 65x + 10 cents.
Learn more on cents to dimes here: brainly.com/question/6810598
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