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2 years ago

11

A car left Point A at 7:30 am and arrived at Point B, 162 miles away at 10:30 am. What was its average speed in miles per hour?

1 answer:

Tcecarenko [31]2 years ago

6 0

Let's find the amount of time in between.
3 hours are in between.
The amount of minutes in 3 hours are 180 minutes.
The car travels 162 miles in 180 minutes.
162 miles:180 minutes
x miles : 60 minutes
Let's divide 162 by 3
54 miles : 60 minutes.
It travels an average of 54 miles per hour.

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3 years ago

(6x - 5y = 34 Lin is solving this system of equations: 3x +2y = 8 She starts by rearranging the second equation to isolate the y

Norma-Jean [14]

Answer:

It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:

Step-by-step explanation:

We know y = -1.5x +4, so we plug that into the equation

6x - 5(-1.5 + 4) = 34

6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.

13.5x -20 = 34

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Hope this helps!

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2 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

2 years ago

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Otrada [13]

Answer:

about 8.3 miles an hour.

Step-by-step explanation:

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