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2 years ago

The sum of an integer and 3 times the next consecutive integer is -21. Find the value of the greater integer.

Mathematics

1 answer:

Anni [7]2 years ago

5 0

Answer: -5

Step-by-step explanation:

i=integer

i+3(i+1)=-21

i+3i+3=-21

4i+3=-21

4i=-24

i=-6

i+1=-6+1=-5

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3 years ago

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3 years ago

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Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of

Viefleur [7K]

ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

$\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

We can calculate point B, using the following equations obtained taking into account the above:

$\begin{gathered} x_m=\frac{x_1+x_2}{2} \\ \\ -1=\frac{2+x_2}{2} \\ \\ x_2+2=-2 \\ \\ x_2=-2-2=-4 \\ \\ \\ y_m=\frac{y_1+y_2}{2} \\ \\ 8=\frac{6+y_2}{2} \\ \\ y_2+6=16 \\ \\ y_2=16-6=10 \\ \\ \text{ Therefore, point B is located at \lparen-4, 10\rparen} \end{gathered}$

The correct answer is: d. (−4, 10)

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1 year ago