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just olya [345]
3 years ago
12

What is the equation of a line perpendicular to y=-8 through the point (-2,1)

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

y=1/8x+1.25

Step-by-step explanation:

Since it's perpendicular change the slope to the opposite

You have the slope so plug it into the equation y-y1=m(x-x1)

y-(1)=(1/8)(x--2)

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Here is how to work the problems and write the expressions.

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zmey [24]

Answer:

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5 0
3 years ago
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The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
defon
Answer: You should cut out squares that are 4 inches by 4 inches.

One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.

The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.

Length = 19 - 2x
Width = 18 - 2x
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Volume = LWH

So our equation could be: y = (19 - 2x)(18 - 2x)x

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8 0
3 years ago
15.5 × [(2 × 2.4) + 3.2] – 24
scZoUnD [109]

Answer:100

Step-by-step explanation:

2 x 2.4=4.8

4.8+3.2=8.0

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100

6 0
3 years ago
During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with
4vir4ik [10]

Hi,

During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with an initial upward velocity of 72 ft. Per second. The T-shirt is caught 34 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time.

<u>Write the general equation that represents height of the t-shirt as a function of time. </u>

f(t) = -16t^{2} + 72t + 5

2. <u>What is the maximum height of the t-shirt?</u>

<u />t = \frac{-72}{2(-16)} = 2,25                         f(2,25) = -16(2,25)^{2} + 72(2,25) + 5

                                                                = 86 feet

1. <u>How long will it take the t-shirt to reach its maximum height?</u>

2,25 secondes

3. <u>The range describes which values of the graph? What would the range of this graph be? (Write in inequality and interval notation).</u>

height (y)

5 ≤ y ≤ 86        [ 5,86 ]

7 0
3 years ago
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