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3 years ago

Determine the equation of the line passing through the points (4,-1) and (-2,-4)

Mathematics

1 answer:

jenyasd209 [6]3 years ago

8 0

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

$m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}$

the equation:

with the point (4, -1)

$y-(-1)=\frac{1}{2} (x-4)$

$y+1=\frac{1}{2}x-2$

$y=\frac{1}{2} x-2-1$

$y=\frac{1}{2} x-3$

I hope this help you

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the expression 8x + 12y represents the sum of harry and mike’s total monthly wages, where x represents the number of hours Harry

Makovka662 [10]

Answer:

Given the expression that represents the sum of harry and mike's total monthly wages:

8x+12y

where

x represents the number of hours Harry worked

y represents the number of hours Mike worked.

The Distributive property says that:

$a\cdot (b+c) = a\cdot b+ a\cdot c$

$8x+12y$

Apply the distributive property:

$4 \cdot 2x + 4 \cdot 3y$

$4(2x+3y)$

The another way of writing the given expression as: $4(2x+3y)$

And we conclude that the rewriting expression $4(2x+3y)$ represents the sum of harry and mike's total weekly wages.

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3 years ago

Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mp

Orlov [11]

Answer:

42 miles.

Step-by-step explanation:

It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.

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Speed of Mrs. Rivers = 36 mph

We need to find the distance between them at 10:30 a.m.

10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour

Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24

Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18

Total distance covered by both in half hour = 24 + 18 = 42

Therefore, they are 42 miles far from each other at 10:30 a.m.

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4 years ago

A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar. S

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Answer:

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Ghella [55]

Remember of means multiply so the answer would be 2/3*24= 16

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Blababa [14]

Answer:

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Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

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An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

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