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tatiyna
3 years ago
13

Through: (3,-2) and (0, -2)

Mathematics
1 answer:
vitfil [10]3 years ago
5 0
Answer: IF FINDING THE EQUATION,
y= -2


Explained : m came out to be zero, so there is no mx term.
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Pleasee help x.x 1. Solve the system by elimination-
patriot [66]
Q1. The answer is x = 1, y = 1, z = 0

<span>(i) -2x+2y+3z=0
</span><span>(ii) -2x-y+z=-3 
</span>(iii) <span>2x+3y+3z=5
</span><span>_________
Sum up the first and the third equation:
</span>(i) -2x+2y+3z=0
(iii) 2x+3y+3z=5
_________
5y + 6z = 5

Sum up the second and the third equation:
(ii) -2x-y+z=-3 
(iii) 2x+3y+3z=5
_________
2y + 4z = 2


(iv) 5y + 6z = 5
(v) 2y + 4z = 2
________
Divide the fifth equation by 2
(iv) 5y + 6z = 5
(v) y + 2z = 1
________
Multiple the second equation by -3 and sum the equation
(iv) 5y + 6z = 5
(v) -3y - 6z = -3
________
2y = 2
y = 2/2 = 1


y + 2z = 1
1 + 2z = 1
2z = 1 - 1
2z = 0
z = 0


-2x-y+z=-3
-2x - 1 + 0 = -3
-2x = -3 + 1
-2x = -2
x = -2/-2 = 1



Q2. The answer is x = -37, y = -84, z = -35

<span>(i) x-y-z=-8 
(ii) -4x+4y+5z=7 
(iii) 2x+2z=4
______
</span>Divide the third equation by 2 and rewrite z in the term of x:
(iii) x+z=2
z = 2 - x
______
Substitute z from the third equation and express y in the term of x:
<span>x-y-(2-x)=-8 
x - y - 2 + x = 8
2x - y = 10
y = 2x - 10
______
Substitute z from the third equation and y from the first equation into the second equation:
</span><span>-4x + 4y + 5z = 7 
-4x + 4(2x - 10) + 5(2 - x) = 7
-4x + 8x - 40 + 10 - 5x = 7
-x -30 = 7
-x = 30 + 7
x = -37
y = 2x - 10 = 2*(-37) - 10 = -74 - 10 = -84
z = 2 - x = 2 - 37 = -35</span>
8 0
3 years ago
X
erica [24]

Answer: 67.725feet²

Step-by-step explanation:

A heptagon consist of 7 sides and Its area is calculated using the formula

= 1/2 × nsr

n = number of sides = 7

s = side length = 4.3

r = apothem = 4.5

Area = 1/2 × nsr

= 1/2 × 7 × 4.3 × 4.5

= 0.5 × 7 × 4.3 × 4.5

= 67.725feet²

7 0
3 years ago
#2) Jane wants to have a test average of at least 78.
Vlad [161]
She would have to score atleast a 74 on the test for her average to be 78
5 0
3 years ago
A gift box has the shape of a cube with an edge length of 4.5 in.
BlackZzzverrR [31]
91.125 all you need to do is cube 4.5 or multiply 4.5 by itself 3 times so 4.5x4.5x4.5
8 0
3 years ago
Read 2 more answers
What are these answers?
murzikaleks [220]
The first one is 25/9
And the second one is 25/36
8 0
3 years ago
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