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11Alexandr11 [23.1K]
2 years ago
12

:

Mathematics
1 answer:
kap26 [50]2 years ago
8 0

Answer: a. 3.4t (miles)

b. 2.125 miles

c. t = 1.6 hours

Step-by-step explanation:

A) We will use the relation:

Distance = Speed × Time

Distance= 3.4 × t

= 3.4t (miles)

B) If t= 5/8

Distance d= 3.4 × 5/8

= 3.4 × 0.625

= 2.125 miles.

C) If the distance d= 5.44,

Time will be:

d= 3.4t, and we know that d=5.44

Therefore, 5.44 = 3.4t

t = 5.44/3.4

t = 1.6 hours

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<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

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\boxed{y=2x}

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Answer: The length of the base of the triangle is 16 inches.

Step-by-step explanation:

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