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3 years ago

Find the slope of the line through each pair

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

6 0

Answer:A) -4/3 B) 1/2 C) -5/4

Step-by-step explanation:

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

For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)

Slope = (-3 -(-7)) / (5 - 8) = 4/-3

For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)

Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2

For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)

Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4

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3 years ago

Use the digits 0-9, find out how many 4 digit numbers can be configured based on the stated conditions:

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A) On the first place we can put 9 digits, on the second 9, on the third place 8 and on the last place 7 ( because no digits can be repeated ):
9 · 9 · 8 · 7 =4536 numbers
b) There are 5 odd digits can be repeated. So:
5 · 10 · 10 · 5 = 2500 numbers
c) On the first place we can put:5,6,7,8,9 (5 digits) On the last place is just one (0), because the number must be divisible by 10:
5 · 10 · 10 · 1 = 500 numbers
d) on the first place we can put 2 digits ( 1, or 2 - there are no 4-digit numbers starting with 0). The last digit must be even, but the order can be:
X - odd - odd - even 2 · 5 · 4 · 5 = 200
X - odd - even - even 2 · 5 · 5 · 4 = 200
X - even - odd - even 2 · 5 · 5 · 4 = 200
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3 years ago

Larre used the visual model to show what fraction of an hour he spent outside. He wants to break the next hour into two times as

klasskru [66]

First, identify what fracion of an hour Larre spent outside using the model.

Since the square is divided in 4 equal parts, then the denominator of the fraction that Larre wants to represent is 4.

On the other hand, since 2 of those 4 parts are colored, then the numerator of the fraction that Larre wants to represent is 2.

Then, the fraction represented by the visual model is:

$\frac{2}{4}$

To find the answer, find an equivalent fraction by multiplying both the numerator and the denominator by 2:

$\frac{2}{4}=\frac{2\times2}{4\times2}=\frac{4}{8}$

Therefore, an equivalent fraction that can be made by multiplying the numerator and denominator by 2, is:

$\frac{4}{8}$

The correct choice is option C) 4/8.

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1 year ago