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dalvyx [7]
3 years ago
10

Write an equation of the line containing (-2,5) and (3,5)?

Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, 5)

m = \frac{5-5}{3+2} = \frac{0}{5} = 0

This indicates the line is horizontal and parallel to the x0 axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinate the line passes through

The line passes through (- 2, 5) and (3, 5) both y- coordinates of 5, thus

y = 5 ← equation of horizontal line

zlopas [31]3 years ago
4 0

Answer:

y = 5

Step-by-step explanation:

formula for finding the equation of a line is y = mx + c

where m is the gradient of the line, c is where the line cuts the y-axis.

x and y are points on the line

step1 : Find the gradient of the line

m = (y2 -y1)/(x2-x1)

m= (5 - 5)/(3 - (-2)) = 0/5 = 0

put m into the equation which now becomes

y = 0x + c

pick any of the two points and plug the values inside the new equation (y = 0x + c) to find c

now using the point (3, 5)

5 = 0(3) + c

5 = 0 + c

therefore c = 5

our final equation will be y = 5

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Sasha spins the spinner once. 8 letters F B G D A H E and C. What is the probability it will lend on E or G?
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Answer:

20%

Step-by-step explanation:

8+2=10 and 10=100%-80%=20%

3 0
2 years ago
You will spend no less than $80 on a gift. You have already spent $50 on part of the gift. Let s be the amount of money you will
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Assuming you have to create an equation...
s is what you have to figure out so it is the subject of the rule
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4 0
3 years ago
Select all the sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains.
ExtremeBDS [4]

<u>The sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains:</u>

  • (0, 5) and (−2, 9)
  • (−1, 7) and (2, 1)

Answer: Option B and C

<u>Step-by-step explanation:</u>

Given that  the equation of line is y - 1 = -2 (x - 2) . Now after solving the above equation, we can write the above equation as

                    y = - 2 x + 5

Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

A.(0, −2) and (1, 3)

-2 = -2(0)+5 which gives -2 = 5

3 = -2(1)+5 which gives 3=3 and denotes not contain the set of ordered pairs

B. (0, 5) and (−2, 9)

5 = -2(0)+5 which gives 5=5  

9= -2(-2)+5 which gives 9=9 and denotes the set of ordered pairs

C. (−1, 7) and (2, 1)

7 = -2(-1)+5 which gives 7=7

1 = -2(2 )+5 which gives 1=1 and denotes the set of ordered pairs

D. (3, −1) and (2, −1)

-1 = -2(3)+5 which gives -1 = -1

-1 = -2(2)+5 which gives -1 = 1 and denotes not contain the set of ordered pairs

E. (1, 2) and (4, 3)

2 = -2(1)+5 which gives 2 = 3

3 = -2(4)+5 which gives 3 = -3 and denotes not contain the set of ordered pairs

Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.

8 0
3 years ago
Suppose that a large mixing tank initially holds 900 gallons of water in which 50 pounds of salt have been dissolved. Another br
borishaifa [10]

Answer:

dA/dt= 12-2A(t)/900+t

Step by step Explanation:

Given:

rate of 3 gal/min

concentration of the solution entering is 4 lb/gal,

The equation of the solution can be expressed as

dA/dt = R(1)- R(2)

Where R(1)=( concentration of the salt at inflow* rate of input of given brine)

R(2)= ( concentration of the salt at inflow* rate of output of given brine)

R(1)= 3 gal/min× 4 lb/gal=12Ib/min

But the solution is been pumped slowly, the rate of the accumulation can calculated as;

(3 gal/min- 2 gal/min)=1gal/min

But after t min we will be having 900+t gallons present in the tank

CHECK THE ATTACHMENT FOR COMPLETE EXPLANATION

7 0
3 years ago
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