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3 years ago

If a line has a slope of 3, what is the slope of a perpendicular line?

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

Slope of perpendicular line is -1/3

Step-by-step explanation:

The slope of the given line is 3 and we have to find the slope of the perpendicular line.

We know that the slope of two perpendicular lines are negative reciprocal of each other.

In other words if the slope of the line is m then then slope of the perpendicular line is $-\frac{1}{m}$

The reciprocal of 3 is $\frac{1}{3}$

Hence, negative reciprocal of 3 is $-\frac{1}{3}$

Therefore, the slope of perpendicular line is -1/3

C is the correct option.

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Answer: 104 boxes were sold in 1 week.

Step-by-step explanation:

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3 years ago

Write the following comparison as a ratio reduced to lowest terms <br><br> 31 hours to 7 days

alina1380 [7]

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3 years ago

Help me with this one. I’m stuck with it since an hour and a bit more.

irina [24]

Answer:

1) 5 : 7 : 8.75

2) Happy = 168 . Juma = 210

3) Rima = 17800 . Happy = 24920 . Juma = 31150

Step-by-step explanation:

1) 5 : 7 : 8.75

Ratio Rima to Happy = 5:7

Ratio Happy to Juma = 4:5

7/4 = 1.75

1.75 x 5 = 8.75

Ratio = 5 : 7 : 8.75

2) Happy = 168 . Juma = 210

Ratio = 5 : 7 : 8.5

120 / 5 = 24

Happy = 24 x 7 = 168

Juma = 24 x 8.75 = 210

3)17800 : 24920 : 31150

5 + 7 + 8.75 = 20.75

73870 / 20.75 = 3560

3560 * 5 = 17800 = Rima

3560 * 7 = 24920 = Happy

3560 * 8.75 = 31150 = Juma

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3 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).

jonny [76]

Answer:

$y=\frac{3}{4}x^2$

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

$y=a(x-h)^2+k$ where the vertex is $(h,k)$

Plug in the vertex (0,0)

$y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2$

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

$3=a(-2)^2\\3=4a\\\frac{3}{4} =a$

Therefore, the value of a is $\frac{3}{4}$ . Plug this back into $y=ax^2$ :

$y=\frac{3}{4}x^2$

I hope this helps!

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3 years ago

Jewel brought home four gallons of milk. How many quarts is four gallons?

Oduvanchick [21]

Answer:

Step-by-step explanation:

there are four gallons

1=4 quartz

so u multiply

4 x 4 = 16

4=16

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3 years ago