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Marizza181 [45]
2 years ago
7

Find the equation (in terms of x) of the line through the points (-2,1) and(2,9) Y=

Mathematics
2 answers:
TiliK225 [7]2 years ago
8 0

Answer:

y = 2x + 5

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-2, 1) so we have:

1 = (-2)a + b      (1)

The line is also through the point (2, 9) so we have:

9 = 2a + b.       (2)

From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5

The second way:

Let A(-2, 1) and B(2, 9), then AB = (4, 8).

=> The normal vector of this line is n = (-2, 1).

The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:

-2(x - 2) + 1(y - 9) = 0

-2x + y - 5 =0\\ < = > y = 2x + 5


I am Lyosha [343]2 years ago
5 0

Answer:

2

Step-by-step explanation:

gradient =y² -y¹ /x²-x¹

=9-1/2--2

=8/4

=2

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If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?
Nookie1986 [14]

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

Learn more about speed from here brainly.com/question/10113134

#SPJ4

7 0
1 year ago
If a bus leaves every 8 minutes and a other bus leaves every 10 how often will both buses leave at the same time
olga nikolaevna [1]

Answer:

i think its 10:00am

Step-by-step explanation:

6 0
3 years ago
One pencil is 20 mm long and a second pencil is 4.2 cm long. How long would the total length of the pencils be in cm? (1 cm = 10
lubasha [3.4K]

Answer:

6.2 cm

Step-by-step explanation:

3 0
2 years ago
George said if 2 and 4 are factors of a number, then 8 is a factor of the whole number. is he correct explain
Mamont248 [21]
He is correct and incorrect. 2 and 4 can create factors but they can also be factors of other numbers. So 8 can be a factor of bigger whole numbers and can also have it own smaller factors.
8 0
3 years ago
Suppose that the world's current oil reserves is
SOVA2 [1]

Answer:

  A)  R = 1900 -24t

  B)  1684 billion barrels

  C) 79.17 years

Step-by-step explanation:

<h3>A)</h3>

Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.

  R = 1900 -24t

__

<h3>B)</h3>

For t=9, the reserves will be ...

  R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels

__

<h3>C)</h3>

The reserve will be 0 when ...

  0 = 1900 -24t

  24t = 1900 . . . . . add 24t

  t ≈ 79.17 . . . . divide by 24

Reserves will be gone in about 79.17 years.

5 0
2 years ago
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