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vodka [1.7K]
3 years ago
5

Which situation can be represented by the inequality 4x − 25 < 125?

Mathematics
1 answer:
GaryK [48]3 years ago
8 0
First add 25 to both sides of the inequality.
You get 4x < 150
Now divide both sides by 4.
You get x < 37.5
So x can be anything less than 37.5,  such as 36,  35 or 34.
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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

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3 years ago
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Need help with 56 plz!
Naddika [18.5K]

Answer: No idea, sorry. I'm sure you could look it up tho


Step-by-step explanation:


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Whats 6 X 1 X + 5 X 1/10 in standard form and someone pls
Galina-37 [17]
The standard form of 6x1x5x1/10 =3 x 10 ^0, any number raised to the power of 0 is 1 so 1 x 3 = 3
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Answer:

V = 336 ft3

Step-by-step explanation:

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3 years ago
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Tresset [83]

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

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2 years ago
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