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3 years ago

Explain one way to find the height of a trapezoid if you know the area of the trapezoid and the length of both bases.

1 answer:

8 0

1) Add the length of both bases: [ Total Length = Length 1 + Length 2 ]

2) Divide the length that you found by 2. [ Average Length = Total Length ÷ 2 ]

3) Divide the Area with the length found [ Height = Area ÷ average length ]

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Write the equation of the line given points (-4,6) and (-8,10)

Advocard [28]

Answer:

the equation of the line in slope-intercept form is: $y=-x+2$

Step-by-step explanation:

First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points $(x_1,y_1)$ and $(x_2,y_2)$ on the plane:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Then for our case, calling (-4, 6) = $(x_1,y_1)$ and (-8, 10) = $(x_2,y_2)$ , we have:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{-8-(-4)}\\Slope=\frac{4}{-8+4}\\Slope=\frac{4}{-4}\\Slope= -1$

Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point $(x_0,y_0)$ that tells us:

$y-y_0=m(x-x_0)$

We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:

$y-y_0=m(x-x_0)\\y-6=-1(x-(-4))\\y-6=-1(x+4)\\y-6=-x-4\\y=-x-4+6\\y=-x+2$

6 0

3 years ago

an object moves at a speed of 3/16 feet per second. what is the speed, in yards per second? (3 feet= 1 yard)

Solnce55 [7]

3 feet / 16 second * 1 yd / 3 feet
3/16 * 1/3
3*1 / 16*3
3/48
1/16 yd/sec

4 0

2 years ago

Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4

Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

4 0

3 years ago

Is a ratio a rate sometimes, always, or never true

Anna71 [15]

A simplified ratio may always be a rate.

4 0

3 years ago

Read 2 more answers

Fred invests $3000 at 4.23% compounded quarterly for 3 years. How much

S_A_V [24]

Answer:

3000×(1.0423)cubed = 3403.64-3000=403.64

5 0

2 years ago