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xenn [34]
4 years ago
8

Determine if the lines -2x + 3y = -1 and 6x + 4y = 4 are parallel, perpendicular or neither. Explain.

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
7 0

Answer:

Perpendicular

Step-by-step explanation:

-2x+3y=-1

6x+4y=4

----------------

3y=-1-(-2x)

3y=-1+2x

3y=2x-1

y=2/3x-1/3

-----------------

4y=4-6x

4y=-6x+4

y=-6/4x+4/4

y=-3/2x+1

--------------------

2/3 and -3/2 are negative reciprocals, therefore, they are perpendicular.

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a line segment with one end at C(6,5) has midpoint m(4,2) determine the coordinates of the other endpoint d
meriva

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+6}{2}~~,~~\cfrac{y+5}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(4~,~2)}\implies \begin{cases} \cfrac{x+6}{2}=4\\[1em] x+6=8\\ \boxed{x= 2}\\ \cline{1-1} \cfrac{y+5}{2}=2\\[1em] y+5=4\\ \boxed{y=-1} \end{cases}

5 0
4 years ago
Someone help with this question pls
ValentinkaMS [17]

Answer:

<h2>PT</h2>

Step-by-step explanation:

<em>A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.</em>

The line PQ and QS are radiuses since they are a point from the center to the arc.

The lines PR is considered a diameter since it starts from an arc, runs through the center and ends at another arc.

4 0
3 years ago
5. Please convert the equation y-5=7(X-6) into slope
zysi [14]

Answer:

Solving the Equation would be: y= 7x-37, Finding the Function would be x= 37 over 7

Step-by-step explanation:

Function:

y-5=7(x-6)

0-5=7(x-6)

0-5=7x-42

-5=7x=42

-7x-5=-42

-7x=-42+5

-7x=-37

x=37 over 7

_________________________________

Solving the Equation:

y-5=7(x-6)

y-5=7x-42

y=7x-42+5

y=7x-37

y=7x-37, x ER

7 0
3 years ago
150 - x- 2 – 2x = 120 + 2x​
dexar [7]

Answer:

First collect like terms on one side

150-2-120=2x+x+2x

148-120=3x+2x

28=5x

Let me change the positions so it could be easier to solve

5x=28

x=28/5

x=5.6

Step-by-step explanation:

I hope I explained well, please give me brainliest

8 0
3 years ago
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