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san4es73 [151]
3 years ago
9

Through the points (-1,-9) and (2,6) find the equation

Mathematics
1 answer:
vivado [14]3 years ago
6 0
M= 6- -9 / 2- -1 = 6+9 / 2+1 = 15/3 = 5 
y-6=5(x-2) 
y-6=5x-10 
y=5x-4 

-9=5(-1)-4
-9=-5-4
-9=-9 

6=5(2) -4
6=10-4
6=6 

Step 1: find the slope using the formula m=y2-y1/x2-x1
Step 2: plug the slope and one point into the point-slope formula and solve to find the equation of the line in y=mx +b form.
Step 3: test both points to see if the equation works. 
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Answer:

(3, - 1)

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10x - 8y = - 22

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- 15y = 45

Add like terms.

- 23y = 23

Can't have a negative variable to flip them.

-23 = 23y

Divide.

y = - 1

Input y into one of the equations and solve for x.

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8 0
3 years ago
Find the Volume. Use pi=3.14. Round to the nearest hundredth.
aleksandr82 [10.1K]
<h2>Volume = 4.19 inches³</h2>

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

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4 0
3 years ago
What is the range of the function y=e^x+1 graphed below
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5 0
3 years ago
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A conjecture and the two-column proof used to prove the conjecture are shown.
aliina [53]

Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:

    Statement                                                        Reason

1. K is the midpoint of segment JL                      Given

2. segment JK ≅ segment KL                             <em>Definition of midpoint</em>

3. <em>L is the midpoint of segment KM</em>                 Given

4. <em>segment KL ≅ segment LM</em>                           Definition of midpoint

5. segment JK ≅ segment LM                           Transitive Property of

                                                                             Congruence


Explanation:


1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL,  the statement follows from the very <em>Definition of midpoint</em>.

2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .

3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .

4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that  segment JK ≅ segment LM.

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3 years ago
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