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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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This famous clock tower has a clock face with a diameter of 23 feet. What is the approximate area of this clock face
pashok25 [27]

Answer:

Therefore the approximate area of this clock face is 415.3 feet².

Step-by-step explanation:

Given:

Clock is of Circular Shape,

Diameter = 23 feet

Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet

To Find :

Area of Clock Face = ?

Solution:

Area of Circle having Radius 'r' is given as,

\textrm{Area of Circle}=\pi r^{2}

Substituting the values we get

\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}

Therefore the approximate area of this clock face is 415.3 feet².

7 0
3 years ago
Someone please help me with this
Lynna [10]

Answer:

Step-by-step explanation:

3/4x + -3

3 0
2 years ago
Read 2 more answers
What is the distance between the points (-4,-8) and (10,-8)?
ioda

Answer: 14

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-4, -8)

Point 2  ( x B , y B )  = (10, -8)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ (x B − x A ) 2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 10 −  − 4 ) 2 + ( − 8 −  − 8 ) 2

=  √ 14 ^2 + 0 ^2

=  √ 196 + 0

=  √ 196 = 14

Distance between points (-4, -8) and (10, -8) is 14

7 0
3 years ago
A hose is able to fill a pool in 17 hours. The drain in the bottom of the pool will drain a pool in 32 hours. If both
Alisiya [41]

Answer:

36hr 16min

Step-by-step explanation:

1pool/17hr - 1pool/32hr = 1 pool/xhr

1/17 - 1/32 = 1/x

Use common denomminator of 17*32 = 544

32/544 - 17/544 = 1/x

15/544 = 1/x

x = 544/15

x = 36 4/15 hr

x = 36hr 16min

8 0
3 years ago
Confused with a question. Will upvote!
SashulF [63]
The first 3 months are 250
6 months are 500
9 months are 1000
12 months are 2000
15 months are 4000
18 months are 8000
21 months are 16000
24 months are 32,000 which is two years
5 0
3 years ago
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