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3 years ago

write an equation for the line with a slope of 3/2 that passes through (4,-2) (I need the answer asap)

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

The equation of the line that has a slope m is

$y=mx+b.$

Since $m=\dfrac{3}{2},$ the equation is

$y=\dfrac{3}{2}x+b.$

This line passes through the point (4,-2), then the coordinates of this point satisfy the equation:

$-2=\dfra{3}{2}\cdot 4+b,\\ \\-2=6+b,\\ \\b=-8.$

Answer: $y=\dfrac{3}{2}x-8.$

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A= 1/1 bh solve for h

8_murik_8 [283]

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4 0

3 years ago

A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was c

mariarad [96]

Answer:

The correct answer is C.

Step-by-step explanation:

First, we can eliminate A and D since it is obviously only 36 months.

Note that the question asks what can be interpreted from the range of the graph.

The range is the number of users in thousands (per month) (as can be seen from the side title).

While B is technically correct, it wrongly interprets the range. C is the best choice.

The correct answer is C.

3 0

3 years ago

Whats the ninth term of 25 20 15 10 5

Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

= -5

The nth terms of an AP is

$a_n=a+(n-1)d$

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

$a_9=25+(9-1)(-5)$

$a_9=25+(8)(-5)$

$a_9=25-40$

$a_9=-15$

Therefore, the ninth term of the given sequence is -15.

3 0

2 years ago

A sidewalk forms the diagonal of a square park. The sidewalk is 30 meters long. To the nearest tenth of a meter, how long are th

PtichkaEL [24]

We can use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters. We know that since the park is square, A² + B² = 2A² = 2B²

900 = 2A²

A^2 = 450

Taking the square root of 450, we find that the lengths of A and B are roughly 21.2 meters.

8 0

3 years ago

Read 2 more answers

Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be

lutik1710 [3]

9514 1404 393

Answer:

a. x + 4y = 160

b. 160

c. 40

Step-by-step explanation:

a. We can define the variables as ...

x = number of 1/2-liter bottles

y = number of 2-liter bottles

For the total number of liters to be 80, we require

1/2x + 2y = 80

We can multiply this by 2 to eliminate the fraction.

x + 4y = 160

b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.

c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.

7 0

3 years ago