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2 years ago

Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8

Mathematics

1 answer:

horrorfan [7]2 years ago

3 0

the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Step-by-step explanation:

We need to write equation of line perpendicular to $y=0.25x-7$ and passes through the point (-6,8)

Since the line $y=0.25x-7$ is in slope-inetercept form $y=mx+b$

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

$y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30$

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

$y=mx+b\\y=-4x+30$

So, the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

#learnwithBrainly

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-2, 10, -50. Find the next two terms of this sequence. Give exact values (not decimal approximations)

lyudmila [28]

250 and - 1250

This is a geometric sequence with common ratio r = - 5

multiply each term by - 5 to obtain the next term

- 50 × - 5 = 250

250 × - 5 = - 1250

the sequence is - 2, 10, - 50, 250, - 1250

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3 years ago

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What is the factored form of 64g^3 +8?<br>

Gelneren [198K]

Answer:

8(2g + 1) (4g^2 - 2g + 1)

Step-by-step explanation:

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3 years ago

There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box,

Serga [27]

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

$xyz=750$

Similarly we can write for the jumbo box as,

$(2x)(2y)(2z)$

which is equal to $8(xyz)$

So this is 8 times the original of $xyz$ . Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: $8*750=6000$ toothpicks

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3 years ago

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Please answer the WHOLE question and explain!

exis [7]

The total weight of candies is unknown. Let x = the total weight of candies.

"One student ate 3/20 of all candies and another 1.2 lb":

The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.

"The second student ate 3/5 of the candies and the remaining 0.3 lb."

The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.

Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.

That was all the amount of candies, so that sum equals x.

0.15x + 1.2 + 0.6x + 0.3 = x

Now we solve the equation for x to find what the total amount of candies was.

0.75x + 1.5 = x

-0.25x = -1.5

x = 6

The total amount of candies was 6 lb.

The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.

The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.

Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.

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3 years ago

Find the distance CD rounded to the nearest tenth C=(5,6) D=(2,2)

Dmitriy789 [7]

2,2 is 3,4 away from 5,6 and 3²+4²=25=5² so CD=5

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2 years ago