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2 years ago

Consider the line y=-5/4x-5 find the equation of the line that is parallel to this line and passes through the point (-8,4)

Mathematics

1 answer:

gayaneshka [121]2 years ago

4 0

Answer:

y = -5/4x + 6

Step-by-step explanation:

Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b

Since it passes through the point (-8,4):

4 = -5/4 * (-8) + b <=>

4 = -2 + b <=>

4 + 2 = b <=>

b = 6

Hence the line is going to be: y = -5/4x + 6

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Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

Hope it will find you well

7 0

2 years ago

Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.

Levart [38]

Answer:

The standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Step-by-step explanation:

We know that:

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

$x^2\:+\:10x\:+\:6y\:=\:47$

Rewriting the equation in the standard form

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

where

vertex (h, k) = (-5, 12)

7 0

2 years ago

Which relation DOES NOT represent a

Natasha2012 [34]

Answer:

Step-by-step explanation:

Hope this Helps :)

6 0

2 years ago

Can you Complete the table please?

Lisa [10]

Answer:

Step-by-step explanation:

Bike 12.7 percent, decreases

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5 0

3 years ago

The number of visitors to a park is expected to follow the function v(x) = 6(x − 1), where x is the number of days since opening

kvv77 [185]

Answer:

Step-by-step explanation:

The function here is a straight line with y-intercept of 26:

v(x) = 26 + 6(x - 1)

The '6' is the slope and it represents the number of additional visitors per day.

6 0

2 years ago