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Strike441 [17]
2 years ago
15

The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to recei

ve credit
Mathematics
1 answer:
Svetach [21]2 years ago
8 0

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is <u>4</u>

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = \dfrac{1}{3}

Required:

To find the value of <em>y</em>

<em />

Solution:

The formula for the slope is given as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

y = \dfrac{12}{3} = 4

The value of, y = <u>4</u>

Learn more here:

brainly.com/question/1617757

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2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou
Tomtit [17]
Let, the age of Kim = x
Then, Jordan's age = x + 7

It is given that, 4(x + 7) = 200

a) Equation would be: 4x + 28 = 200

b) Now, 4x = 200 - 28
x = 172/4
x = 43

So, Kim is 43 Years old.

c) Age of Jordan = x + 7
= 43 + 7 = 50

In short, Age of Jordan is 50 Years

Hope this helps!


4 0
3 years ago
Can u plz help me answer question 30
slamgirl [31]

We are given:

3x^3-2x^2

There seems to be nothing I can do to simplify this equation. However, I can factor out an x^2 since they both have at least an x^2. Here is what we get:

x^2(3x-2)

This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.

3 0
3 years ago
Which inequality is true?
DiKsa [7]

Answer:

C. 5\pi > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4\pi - 2 < 10

4\pi < 12

\pi < 3

Since \pi < 3, then the inequality is false

B. \pi + 9 < 12

\pi < 3

Since \pi < 3, then the inequality is false

c. 5\pi > 15

\pi > 3

Since \pi > 3, then the inequality is true

D. 6 > 2\pi

3 > \pi

Since \pi < 3, then the inequality is false

Thus, the only inequality that is true is option C.

3 0
3 years ago
In 2018, there were about 32 million teenagers (aged 13–17) in the United States. They each sent an average of 1200 text message
Alja [10]

Answer:3.84x10^10

Step-by-step explanation:

32,000,000 teenagers

1200 text messages per month

32,000,000 * 1,200= 38,400,000,000----(scientific notation)-----> 3.84x10^10

3 0
3 years ago
Is this relation a function? Justify your answer.
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Answer:

i don't now

ok

please follow me

6 0
3 years ago
Read 2 more answers
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