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Alenkinab [10]
2 years ago
12

Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)

Mathematics
2 answers:
Paladinen [302]2 years ago
5 0

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (9-6)/(-1- -9)

   = (9-6)/(-1+9)

    =3/8

The y intercept is found by

y = mx+b where m is the slope and b is the y intercept

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

FrozenT [24]2 years ago
3 0

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

  • m= (9-6)/(-1+9)= 3/8

y- intercept is:

  • 6=3/8*(-9)+b
  • b= 6+27/8= (48+27)/8= 75/8= 9 3/8
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How much does a glass cube with a side of 5-cm weigh if 1cm3 of glass weighs 2 2/5 grams?
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The weight of galss cube with side 5 cm is 300 grams

<em><u>Solution:</u></em>

A glass cube is of side length 5 cm

Let us first find the volume of glass cube

<em><u>The volume of cube is given as:</u></em>

volume = (side)^3\\\\volume =5^3 = 125

Thus volume of cube is 125 cm^3

Given that,

1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}

So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125

\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125

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3 years ago
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<h2>Hello!</h2>

The answer is:

The coordinates of the midpoint are:

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<h2>Why?</h2>

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

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We are given the points:

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So, calculating the midpoint, we have:

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