Answer:
The two coordinates should be (6, 3) and (10, 4).
Step-by-step explanation:
rise / run
y-value of the 2nd coordinate = 3 + 1 = 4
x-value of the 2nd coordinate = 6 + 4 = 10
The two coordinates should be <u>(6, 3) and (10, 4)</u>.
7x+2y=24
<span>-8x-2y=-30 (multiplied each side by -1)
-x = -6
x = 6
</span>7x+2y=24
7(6)+2y=24
42+2y=24
2y = -18
y = -9
Answer:
The correct answer is:
To subtract an integer, add its opposite; -4 + 5 = 1
Step-by-step explanation:
Marty is explaining to Susan how to solve the following problem, -4 – (-5)
He told Susan that to subtract an integer, add its opposite.
We know that whenever we solve the two terms, first we multiply the signs.
It means that the negative sign outside the round bracket will be multiplied with the negative sign of -5
That is,
-4 - (-5)
By multiplying the signs we get the terms:
-4 + 5
=1
Thus the correct option is D....
Answer:
Kayla and Maddy will be in the same level in 4 days.
Step-by-step explanation:
Kayla: y = 6x + 12
Maddy: y = 2x + 28
6x + 12 = 2x + 28
Subtract 2x from both sides;
4x + 12 = 28
Subtract 12 from both sides;
4x = 16
Divide both sides by 4;
x = 4
Answer:
Find the LCD of the first two, then the LCD of that and the third one.
Step-by-step explanation:
You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.
Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.
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<u>Example:</u>
1/21 + 1/35 + 1/45
The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...
(105·45)/15 = 315
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Using factoring ...
- 21 = 3·7
- 35 = 5·7
- 45 = 3²·5
LCD = 3²·5·7 = 315