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3 years ago

What is the equation of the line, in slope-intercept form, that passes through (4, 2) and (-2, -3)?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Answer:

y = 5/6x -4/3

Step-by-step explanation:

We can find the slope

m = (y2-y1)/(x2-x1)

= (-3-2)/(-2-4)

=-5/-6

= 5/6

We can use point slope form to find the equation

y-y1 = m(x-x1)

y-2 = 5/6(x-4)

Distribute

y-2 = 5/6x - 10/3

Add 2 to each side

y-2+2 = 5/6x -10/3+2

Get a common denominator

y = 5/6x -10/3 +6/3

y = 5/6x -4/3

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A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricat

SSSSS [86.1K]

Answer:

23 days

Step-by-step explanation:

We are told that the stadium holds 7500 individuals.

Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats

We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days

Thus, it will take 23 days to complete all the 7500 seats.

5 0

3 years ago

When Ranim started karate, her highest kick went 110^\circ110 ∘ 110, degrees from the ground. Her instructor asked her to practi

gayaneshka [121]

Answer:

Step-by-step explanation:

155° - 110° = 45°

7 0

2 years ago

In the diagram, GB = 2x + 3..

zaharov [31]

<u>Answer-</u>

$\boxed{\boxed{GB=15\ units}}$

<u>Solution-</u>

From the attachment,

AD = AE, so FA is a median.

BD = BF, so BE is a median.

CF = CE, so DC is a median.

And G is the centroid.

From the properties of centroid, we know that

The centroid divides each median in a ratio of 2:1

So,

$\Rightarrow FG:AG=2:1$

$\Rightarrow \dfrac{FG}{AG}=\dfrac{2}{1}$

$\Rightarrow FG=2\times AG$

$\Rightarrow 5x=2\times (x+9)$

$\Rightarrow 5x=2x+18$

$\Rightarrow 3x=18$

$\Rightarrow x=6$

So, GB will be $2(6)+3=15$ units

5 0

3 years ago

Read 2 more answers

Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your

Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

= -9/4

= -2.25

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0

2 years ago

How much do you need to add to 2 5/8 to make 6

docker41 [41]

Answer:

3 3/8

Step-by-step explanation:

6 minus 2 5/8 equals 3 3/8

3 3/8 plus 2 5/8 equals 6

6 0

3 years ago

Read 2 more answers