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3 years ago

Using the statement, write an equation in one variable.

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer:

n + (n + 1) + (n + 2) = 12 + 2(n + 2)

Step-by-step explanation:

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Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).

AveGali [126]

Answer:

<u>Question (a)</u>

Midpoint of a line segment:

$M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)$

<u>Question (b)</u>

Find slopes (gradients) of JL and MK then compare. If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

$\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3$

$\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1$

Hence segments JL and MK are perpendicular

4 0

2 years ago

We need a step by step answer to 2(3 d-1)

Effectus [21]

First figure out what it mean

7 0

3 years ago

VERY URGENT PLEASE HELP!!!!!!!

Fittoniya [83]

Answer:

multiply 8 by 5 then round :D

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Solve for z. z³ = 64 Enter your answer in the box. z =

zlopas [31]

Answer:

z³ = 64

z³=4³

since power is equal, base will be same

z=4

Step-by-step explanation:

6 0

3 years ago

How do I figure this one out?

Inessa [10]

9k2-12k+4

(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2

5 0

3 years ago