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Alex73 [517]
2 years ago
9

Help me please- thank you

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
8 0

Answer:

y=-8/5x+4

Step-by-step explanation:

The slope of perpendicular lines is the opposite reciprocal of the original equation.

To get the opposite reciprocal, flip the fraction and use the opposite sign.

Here, the slope is -8/5 because that is the opposite of 5/8.

To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.

Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.

y+4=-8/5(x-5)

Multiply (x-5) by -8/5 and simplify.

y+4=-8/5x+8

y=-8/5x+4

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maxonik [38]

Answer:

\frac{1}{4k^3}

Step-by-step explanation:

It's already in a form that only ha positive exponents.  Just to state it though you could rewrite it as k*(4k^{4})^{-1} or k*4^{-1}*k^{-4}  The question asks for positive exponents though so yu don't need to do that.

You also need to know \frac{x^a}{x^b}=x^{a-b} so in this case \frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}

so \frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}

3 0
2 years ago
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jonny [76]

Answer: y = 3/4x

Step-by-step explanation:

Each y-value output is 3/4 of the x-value inputted.

8 x 0.75 = 6

12 x 0.75 = 9

3 0
3 years ago
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays
lukranit [14]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

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Step-by-step explanation:

Given that :

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(23706.3 - 23568.7) / 12.6

= 10.920634

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6 0
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Solve the following equation:<br><br>(5х + 1) / 2 = 3х​
Illusion [34]
X=1
solve for x by simplifying both sides
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From 12:00 to 6:00 a.m, the temperature decreased by 12°C. If the original temperature was 12°C, which expression can be used to
olchik [2.2K]

Answer:

A

Step-by-step explanation:

Temperature decreased by 12°C :   (-12°C)

Expression:

12 + (-12) = 12 - 12

3 0
3 years ago
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