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diamong [38]
4 years ago
8

Find the slope of the line that passes through (-2, 8) and (-10, 14)

Mathematics
2 answers:
vesna_86 [32]4 years ago
8 0
Hello!

To find the slope we divide the difference of the y-values by the difference of the x-values as shown below.

\frac{14-8}{-10+2} = -\frac{6}{8} = -\frac{3}{4}

The slope of our line is -3/4.

I hope this helps!
quester [9]4 years ago
3 0
The slope is \frac{3}{-4} or -0.75.

m=\frac{y _{2}-y _{1} }{ x_{2}- x_{1} }
m=\frac{14-8}{-10-(-2)}
m=\frac{6}{-8}
Simplify \frac{6}{-8} into \frac{3}{-4}, by dividing two into the numerator and denominator.
m=-0.75
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To properly visualize the given, we transform them into equation form rather than words.
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From these, it may be observed that g(x) is 8 times of f(x). These transformation is in the value of y and is scaling. Because it is multiplied by a a whole number, the transformation is vertical scaling that involves multiplying the y-coordinate by 8. 
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3 years ago
15 one half subtracted by 3 wholes and seventh eights
FromTheMoon [43]
15 and one half is 31/2. 3 and seven eighths is 31/8. 31/2 also equals 124/8. Then the answer is 124/8 - 31/8 is 91/8. Hope that helped.
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3 years ago
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QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

6 0
3 years ago
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78.63 - 3.47 × (5.41 - 3.41)4
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4 0
3 years ago
Julio bought 12 bulbs of jumbo garlic for $11.88. How many bulbs of jumbo garlic can Anjali buy if she has $3.96?
Molodets [167]

Answer:

Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

Step-by-step explanation:

To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:

\frac{11.88}{12}

Divide the fraction by \frac{12}{12} to calculate the unit rate:

\frac{.99cents}{1bulb}

So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by \frac{4}{4}:

\frac{.99}{1} × \frac{4}{4}=

\frac{3.96}{4}

Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

_

Check your work by dividing \frac{3.96}{4} by \frac{4}{4} to see if you will get your initial unit rate:

\frac{3.96}{4} ÷ \frac{4}{4} =

\frac{0.99}{1}

Therefore, our solution is correct!

7 0
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