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zavuch27 [327]
3 years ago
11

Is Frieda’s work correct? Explain how she can check her solution.

Mathematics
2 answers:
lyudmila [28]3 years ago
7 0

Answer:

Frieda's work is correct.

Step-by-step explanation:

z+22= 64 can also be z= 64-22

64-22= 42

Meaning, z= 42

42+22-22= 64-22

42= 42

Mandarinka [93]3 years ago
3 0

Answer:

by substitution

Step-by-step explanation:

To check if the solution to an equation is valid

Substitute the solution into the equation and if both sides agree then the solution is correct.

left side = z + 22 = 42 + 22 = 64 = right side

Hence z = 42 is the correct solution

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What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov
Scorpion4ik [409]
Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!
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