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Harrizon [31]
3 years ago
14

Write an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9

Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Answer:

y = 12x - 74

Step-by-step explanation:

y = 12x + b

10 = 12(7) + b

10 = 84 + b

b = -74

y = 12x - 74

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8 * 5/7 equalfind the product write the product in its simplest form 8 * 5/7 ​
Naily [24]

The product of 8 and 5/7 is 5.7

<u>Step-by-step explanation:</u>

The given product is 8 \times 5/7.

<u>In the product, two terms are given :</u>

  • The first term 8 is a whole number.
  • The second term 5/7 is a fraction.

1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.

2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.

<u>First method :</u>

<u><em>Step 1 :</em></u> Convert the fraction into decimal

⇒ 5/7 = 0.71

<u><em>Step 2 :</em></u> Multiply the result with the other term.

⇒ 8 × 0.71

⇒ 5.68 (approximately 5.7)

<u>Second method :</u>

<u><em>Step 1 :</em></u> Multiply both the terms

⇒ 8 ×(5/7) = 40/7

<u><em>Step 2 :</em></u> divide 40 by 7

⇒ 40÷ 7 = 5.7

Therefore, the product of 8 and 5/7 is 5.7

7 0
4 years ago
Simplify 27 to the negative 2 thirds power.
Tatiana [17]
27^(-2/3)=1/((∛27)^2)

=1/3^2

=1/9
5 0
4 years ago
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A man took a trip, traveling by train. He looked out the window during the first 1/3 of the trip. He then slept for 1/5 of the r
kifflom [539]

Answer: 528 km

Step-by-step explanation:

Let x be the total distance traveled by train.

Then, the total time he spent on looking outside the window and in sleeping = \frac{x}{3}+\frac{x}{5}=\frac{8x}{15}

Then the remaining distance =x-\frac{8x}{15}=\frac{7x}{15}

The time he spent on reading = \frac{1}{2}\times(\frac{7x}{15})=\frac{7x}{30}

Since, the train traveled 17.6 km more while he read than while he slept.

Then,

\frac{7x}{30}-\frac{x}{5}=17.6\\\Rightarrow\ \frac{7x-6x}{30}=17.6\\\Rightarrow\ \frac{x}{30}=17.6\\\Rightarrow\ x=30\times17.6\\\Rightarrow\ x=528

Hence, the train traveled 528 km.

7 0
3 years ago
I need this answer ASAP
lana [24]

Answer:

Step-by-step explanation:

Multiply 13*5 is 65

4 0
3 years ago
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The student council at Spendtoomuch High School is
Ivan
Answer: the won’t profit. they are in the hole $-50

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3 0
3 years ago
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