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Alisiya [41]
2 years ago
7

Find the Equation Using Two Points (-3,-7) (-1,4)

Mathematics
1 answer:
dexar [7]2 years ago
6 0

Answer:

equation= y-y¹=m(x-x¹)

where m = gradient or slope

slope= <u>y²</u><u>-</u><u>y</u><u>¹</u>

x²-x¹

= <u>4--</u><u>7</u>

-1--3

= <u>4+7</u>

-1+3

= <u>1</u><u>1</u>

2

= 5.5

equation= y-4=5.5(x--1)

= y-4=5.5(x+1)

y-4= 5.5x+5.5

y= 5.5x+5.5+4

y= 5.5x+9.5

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Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are
Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0
3 years ago
The number 42 is what percent of 35
Vesna [10]

35 - 100%

42 - x


X=42×100/35=120%


120-100=20%


Answer: 20%

5 0
3 years ago
It costs $12 to attend a golf clinic with mr. Stephan. Buckets of golf balls cost $3 each. How much can you buy if you have $30
Talja [164]
You can buy 6 buckets
Explanation:
12-30=18
18 divided by 3=6
4 0
2 years ago
Omari types 300 words in 6 minutes. How many words does he type in 2 minutes?<br> In 1 minute?
Alchen [17]

Answer:

50 words per minute.

100 words per 2 minutes.

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0. graph of f of x equals
Leni [432]

Next time you should write the correct form of equation because it affects greatly the answer. I believe the correct form would be:

f (x) = 2 * x^2 + 1

where the second 2 is a power of x

The average rate of change is also defined as the slope of the equation. Therefore:

average rate of change = slope

Where slope is:

m = (y2 – y1) / (x2 – x1) = [f (0) – f (-1)] / (x2 – x1)

 

Calculating for f (0): x2 = 0

f (0) = 2 * 0^2 + 1 = 1

Calculating for f (-1): x1 = -1

f (-1) = 2 * (-1)^2 + 1 = 3

 

Substituting the known values to the slope equation:

average rate of change = (1 – 3) / (0 – 1)

average rate of change = -2 / -1

average rate of change = 2

 

<span>Answer: 2</span>

6 0
3 years ago
Read 2 more answers
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