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2 years ago

Write the equation 5x - 3y = 16 in slope-intercept form. Explain your steps.

Mathematics

1 answer:

attashe74 [19]2 years ago

8 0

We need to get y by itself, so we do the following:

Subtract 5x from both sides: -3y=16-5x

Divide both sides by -3: y=-16/3+5/3x

Your equation is: y=5/3x-16/3

Hope this helped!

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Greg has decreased his running time by 1/10 minute each of the last six weeks. Write an expression to represent the total change

Nastasia [14]

x is your starting running time. 1/10 of a minute is 6 seconds, so you can do x - 6(6). 6 times 6 = 36, so your answer is x - 36 seconds. 36 seconds.

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2 years ago

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Have students write an explanation of how to find the slope of a line given the points A(1, 5) and B(−7, 8), also give me the an

Grace [21]

Answer:

3/-8

Step-by-step explanation:

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2 years ago

Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled

bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

$C=2\pi r$

Where r is the radius and $\pi=3.14$

The radius can be calculated by dividing the diameter by 2. Then:

$r=\frac{18in}{2}\\\\r=9in$

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$(9in)(\frac{1yd}{36in})=0.25yd$

Substitute this radius into the formula:

$C=2(3.14)(0.25yd)\\C=1.57yd$

Since there are 21 circles of wire, you need to multiply $C=1.57yd$ by 21:

$C_T=(1.57yd)(21)=32.97yd$

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.

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2 years ago

What is the slope of a line perpendicular to the line whose equation is x−2y=12.

seraphim [82]

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

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2 years ago

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3 years ago

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