What do I dooooooooooo I need help asap
1 answer:
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The <u>correct answer</u> is:
6 mph.
Explanation:
We will use the formula d = rt for this, where d is <u>distance</u>, r is <u>rate</u>, and t is <u>time</u>.
We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t
We will write an expression for the time upstream, an expression for the time downstream, and set them equal.
For the time upstream, the distance is 6 and the rate is 24-x; this gives us
For the time downstream, the distance is 10 and the rate is 24+x; this gives us
Together, these give us the equation
We cross-multiply to solve this:
6(24+x) = 10(24-x)
Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x
Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240
Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96
Divide both sides by 16:
16x/16 = 96/16
x = 6
6 mph.
Explanation:
We will use the formula d = rt for this, where d is <u>distance</u>, r is <u>rate</u>, and t is <u>time</u>.
We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t
We will write an expression for the time upstream, an expression for the time downstream, and set them equal.
For the time upstream, the distance is 6 and the rate is 24-x; this gives us
For the time downstream, the distance is 10 and the rate is 24+x; this gives us
Together, these give us the equation
We cross-multiply to solve this:
6(24+x) = 10(24-x)
Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x
Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240
Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96
Divide both sides by 16:
16x/16 = 96/16
x = 6
The coordinate pair (-4,5) could be the fourth vertex of the square.
<h3>Quadrilaterals</h3>There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid. Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.
For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.
As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.
Thus, coordinate pair (-4,5) would be the fourth vertex of the square.
Read more about the quadrilaterals here:
