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Lera25 [3.4K]
4 years ago
15

The Smith family is driving to a vacation spot. The number of miles they have left is 540-60x, where x represents the number of

driving hours. What does 60x represent?
a. the number of miles driven after 1 hour
b. the total distance to the state park
c. the number of miles driven after x hours
Mathematics
1 answer:
kotegsom [21]4 years ago
6 0

Answer:

C

Step-by-step explanation:

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The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side leng
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Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

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Shorter leg = 6 inches

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5 0
3 years ago
The following examples illustrate the associative
bagirrra123 [75]

Answer: A

Step-by-step explanation:

a • (b•c) = (a•b) • c

8 0
3 years ago
Jackie filled the blue water balloon with 12.25 ounces of water and the red water balloon with 5.5 ounces of water. How much mor
tekilochka [14]

All you do is subtract 5.5 oz from 12.25 oz, so the answer is that the blue balloon has 6.75 more oz than the other balloon.

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What is the area of this triangle expressed as a monomial? height is 9x width is 6x
fiasKO [112]

Answer:

The area of triangle expressed as a monomial is 27x^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

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h=9x\ units

b=6x\ units

substitute

A=\frac{1}{2}(6x)(9x)=27x^{2}\ units^{2}

4 0
3 years ago
What is the length of the hypotenuse of a right triangle with legs that are 7 feet and 10 feet respectively?
zavuch27 [327]
7² + 10² = c² where c = hypotenuse

49 + 100 = c² 
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c = √149 feet
6 0
3 years ago
Read 2 more answers
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