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posledela
2 years ago
15

Find the equation of a line perpendicular to x=6+6y that passes through the point (-8,6)

Mathematics
1 answer:
alexgriva [62]2 years ago
8 0

Answer:

y = -6x - 42

Step-by-step explanation:

First solve for y in x = 6 + 6y.

6y + 6 = x

6y = x - 6

6/6y = x/6 - 6/6

y = 1/6x - 1    the slope is 1/6.  

Perpendicular lines slopes are negative reciprocals of each other.

So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)

Next solve for "b" by  using y = mx + b and the new slope of -6 and the point (-8,6)

y = mx + b

6 = -6(-8) + b

6 = 48 + b

-42 = b

The equation of the line is y = -6x - 42

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fiasKO [112]

Answer: 2 + 2 = 4

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4 0
3 years ago
Karen gave an equal amount of m and m's to herself and four friends. Each person receives m and m's equivalent to the largest on
Mariana [72]

Answer:

Karen had 45 m and m's candy.

Step-by-step explanation:

Let the number of m and m's candy be 'x'.

Now given:

Karen gave an equal amount of m and m's to herself and four friends.

So we can say that;

Number of people m and m's candy distributed equally = 5

Also Given:

Each person receives m and m's equivalent to the largest one digit number.

Now we know that;

Largest one digit number is 9.

So we can say that;

Each person receives m and m's = 9

We need to find number of m and m's Karen have.

Solution:

So we can say that;

Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.

framing in equation form we get;

Total number of m and m's Karen had = 9\times5 = 45

Hence Karen had 45 m and m's candy.

8 0
3 years ago
Does anyone know the answer?I am stuck? Please explain it to me!
9966 [12]
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The circumference of a circle is equal to 2 \pi r

C=2 \pi (14) = 28 \pi

The answer is approximately 87.96 cm
7 0
3 years ago
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What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​ ?
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Check the picture below

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3 years ago
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Which equation below does NOT represent a function of X A) x=y^2 B) y=x C) y = |x| D) y=x^2 E) y=1
vlabodo [156]

Answer:

A) x = y^{2}

Step-by-step explanation:

An equation is a function of x when x is the independent variable, that is:

y = f(x) (1)

Where y is the dependent variable.

According to this, x = y^{2} does not represent a function of x, since the independent variable is a function of y, that is, x = f(y). Therefore, the correct answer is A.

5 0
3 years ago
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