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balandron [24]
3 years ago
9

Which statement must be true about line TU?

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

wer: The true statement is 'Line TU is parallel to line RS'. Explanation: Since, we know that if a line is perpendicular to two different lines then these two different lines must be parallel to each other. Here, it is given that WV is perpendicular to both lines RS and TU. Therefore, RS must be parallel to TU.

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kkurt [141]

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8 0
3 years ago
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
Please help giving best answer brainiest!!!!!!!!!!!!!!!!!!!!!!
balandron [24]
I would say the 2nd or 3rd one

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3 years ago
Read 2 more answers
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