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3 years ago

Find the distance between the points (4,3) and (-1,4) round answer to the nearest tenth

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer:

The distance between those points rounded to the nearest tenth is 5.1

Step-by-step explanation:

1. (x2-x1) = (-1 - 4) = -5

2. (y2-y1) = (4 - 3) = 1

3. (-5^)2 + (1)^2 = 25 + 1 = 26

4. √26 = √26

5. 5.099 ---> Rounded to the nearest tenth = 5.1

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A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in whic

son4ous [18]

Answer:

$\$50+\$31.5x$

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For $x$

$y=\$50+\$35x$

For $x\geq 7\ days$

The rate is equal to

$0.90*\$35=\$31.5$

$y=\$50+\$31.5x$

In this problem. the car has been rented for more than a week

therefore

$x> 7\ days$

The cost of renting a car is equal to

$y=\$50+\$31.5x$

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3 years ago

If a = b and b = c, which statement must be true?

murzikaleks [220]

Answer:

D.- ac

Step-by-step explanation:

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3 years ago

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3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.

valentinak56 [21]

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

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3 years ago

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Hoochie [10]

8k+14

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3 years ago

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Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car

4vir4ik [10]

The northbound car has traveled a distance of 6.2 miles.

Step-by-step explanation:

Step 1:

The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.

This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.

Assume the distance traveled by the northbound car is x miles.

Step 2:

According to Pythagoras' theorem,

$x^{2} +5^{2} =8^{2} , x^{2} = 8^{2} -5^{2} = 64-25.$

$x^{2} =39, x=6.2449.$

So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.

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3 years ago