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rodikova [14]
3 years ago
10

The line with slope -8 passing through (-11,7)

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0
Y = mx + b
slope(m) = -8
(-11,7)....x = -11 and y = 7
now we sub into the formula and find b, the y int
7 = -8(-11) + b
7 = 88 + b
7 - 88 = b
- 81 = b
so ur equation is : y = -8x - 81 or 8x + y = -81 depending on what form u need it in
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Answer:

75:80   OR    15:16

Step-by-step explanation:

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

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Step-by-step explanation:

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aksik [14]

Harry can first substitute 30 for t

He can then multiply \frac{1}{3} by 30 to get a product of 10

Since, 10 is not equal to 15, Harry's solution is not correct.

<em><u>Solution:</u></em>

Given that,

Harry solves the equation:

\frac{1}{3}t = 15

He says the solution is 30

We have to check if his answer is correct or not

<em><u>Fill in the blanks to explain how Harry can check whether his solution is correct</u></em>

Harry can first substitute 30 for t

\frac{1}{3} \times 30 = 15

He can then multiply \frac{1}{3} by 30 to get a product of 10

10\neq 15

Since, 10 is not equal to 15, Harry's solution is not correct

<em><u>Correct solution:</u></em>

\frac{1}{3}t = 15\\\\t = 15 \times 3\\\\t = 45

Thus correct solution is 45

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3 years ago
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