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Rudiy27
3 years ago
15

Write an equation of a line in slope intercept form that contains the points (4,-4) and (-2,-2)

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

If that means find the slope, then the answer is 1/3


Work: -4--2=(-4+2)/(4--2)=(4+2)            

So basically,  (-4+2)/(4+2)

                             2/6

                             1/3




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Coplanar planes and point lines
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Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8.
storchak [24]

Answer:

Step-by-step explanation:

If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.

If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes

y = k/x

When y = 0.25, x = 8

Substituting into the expression above, it becomes

0.25 = k/8

k = 0.25 × 8

k = 2

The inverse variation function is

y = 2/x

5 0
3 years ago
The temperature of a chemical compound, in degrees Celsius, changes when the compound is exposed to UV light. The table below sh
sertanlavr [38]

The temperature of the compound will follow this function: 1/8x^2+15 ( I could be wrong).


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4 0
3 years ago
A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr
mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x --->  ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

ratio=\frac{y}{x}

substitute the given values

ratio=\frac{30}{18}

simplify

ratio=\frac{5}{3}=1.67

<u><em>Verify each graph</em></u>

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

ratio=\frac{5}{3}

that means

5 ounces of orange juice per 3 ounces of pineapple juice

Graph F

The slope is

m=\frac{4}{6}=\frac{2}{3}=0.67

Graph G

The slope is

m=\frac{4}{2}=\frac{2}{1}=2

Graph H

The slope is

m=\frac{70}{6}=\frac{35}{3}=11.67

Graph J

The slope is

m=\frac{12}{10}=\frac{6}{5}=1.2

The value of 2 is the value closest to 1.67

therefore

The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G

7 0
3 years ago
Then p=3.<br> Use the equation k = 3n to find the value of k when n = 3.
Bad White [126]

Answer:

k = 9

Step-by-step explanation:

n = 3, so substitute 3 for n in the equation

k = 3(3)

k = 9

6 0
2 years ago
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