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3 years ago

Write the equation of a line parallel to the line: y=-x-4 that goes through the point (-9,8)

Mathematics

1 answer:

Ymorist [56]3 years ago

6 0

Answer:

y=-x-1 or, y-8=-1(x+9)

Step-by-step explanation:

Parallel lines have the same slope. in your current equation you have a slope of -1. We can use this slope and your set of points in the point slope formula.

y-y1=m(x-x1)

(-9, 8)

x1 y1 m=-1

y-8=-1(x+9)

y-8=-1x-9

+8 +8

y=-x-1

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a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb

bogdanovich [222]

· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.

5 0

3 years ago

7x what gives me 1 can someone answer I'm new

Lelu [443]

Doing (7x÷7) I think equals 1

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3 years ago

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In how many ways can 12 books be displayed on a shelf if the given number of books are available

Cerrena [4.2K]

The answer is not applicable. theres not enough information. -fvmousskaylaa

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3 years ago

I don’t know how you do 17.1 divided by 0.9.

andreyandreev [35.5K]

The answer is 19

work :

1-multiply the numbers by a submultiple of 10 to remove the decimal points.
$17.1 \times 10 = 171 \\ \\ 0.9 \times 10 = 9$

2-

now do the division :
$171 \div 9 = 19$

so the answer is 19

note: there is no need to get it back to decimal number unless you multiply just one of the numbers or multiply the numbers with different submultiples of 10

good luck

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Help------------------------------------

Liula [17]

Answer:

7)141

8)65

Step-by-step explanation:

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3 years ago

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