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marta [7]
3 years ago
12

Find the equation of the line with slope = -6 and passing through (-6,42). Write your equation in y=Mx+b.

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

y = -6x + 78

Step-by-step explanation:

y = mx + b

Use our known X Y and M values...

42 = -6 (-6) + b

42 = -36 + b

+ 36 to both sides

78 = b

Therefore,

Y = -6x + 78

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The difference between two number is 9 and the product of the number is 162 find the 2 number
erik [133]

Answer:

18 and 9

OR

-18 and -9

Step-by-step explanation:

Let:

first number = x

second number = y

According to given conditions:

x -  y = 9 ---------- eq1

x * y = 162 ------- eq2

From eq1:

x = 9 + y

Put it in eq2:

(9+ y)*y = 162

9y + y^2 - 162 = 0

OR

y^2 + 9y -162 = 0

By factorizing we get:

y^2 -9y + 18y - 162 = 0

Taking common:

y(y - 9) + 18(y - 9) = 0

(y - 9)(y + 18) = 0

So:

y = -18 and y = 9

ignoring negative integer

Putting values of y in eq1:

   x - 9 = 9

  x = 9 + 9

   x = 18

So the two numbers are:

18 and 9

OR

-18 and -9

i hope it will help you!    

5 0
4 years ago
What is the cosine ration ? HELP PLZ !!
garik1379 [7]

The cosine of angle X is

\cos X=\dfrac{XY}{XZ}=\dfrac{XY}{7.5}

By the Pythagorean theorem, we have

XY^2+YZ^2=XZ^2\implies XY=\sqrt{7.5^2-6^2}=4.5

Then

\cos X=\dfrac{XY}{XZ}=\dfrac{4.5}{7.5}

Multiplying numerator and denominator by 2, we get \dfrac9{15}.

3 0
3 years ago
Read 2 more answers
Nora's math teacher said that each question answered correctly on a test would be
horsena [70]

Answer:

i can't see it :(

Step-by-step explanation:

5 0
3 years ago
Mr.loretti spends $4.83 on pens and notebooks. How many of each item does he buy? Explain
Oksana_A [137]
How much does the pen or notebook charge
8 0
4 years ago
Read 2 more answers
3-6
Dafna11 [192]

Answer:

16

Step-by-step explanation:

1 term is 4 years; and 4 terms times 4 years is 16 years

6 0
2 years ago
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