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Oksanka [162]
3 years ago
9

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Mathematics
2 answers:
Dovator [93]3 years ago
5 0

Answer:

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Solnce55 [7]3 years ago
5 0
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4.. Please help. Is DE←→ perpendicular to FG←→? Why or why not?
olya-2409 [2.1K]

Given:

DE contains the points D(1, -2) and E(3, 4).

FG contains the points F(-1, 2) and G(4, 0).

To find:

Is DE perpendicular to FG.

Solution:

Slope of DE:

$m=\frac{y_2-y_1}{x_2-x_1}

Here x_1=1, y_1=-2, x_2=3, y_2=4

$m=\frac{4-(-2)}{3-1}

$m=\frac{6}{2}

m = 3

Slope of FG:

$m=\frac{y_2-y_1}{x_2-x_1}

Here x_1=-1, y_1=2, x_2=4, y_2=0

$m=\frac{0-2}{4-(-1)}

$m=\frac{-2}{4+1}

$m=\frac{-2}{5}

<em>Two lines are perpendicular if product their slopes are -1.</em>

Slope of DE × Slope of FG

         $=3\times \frac{-2}{5}

         $= \frac{-6}{5}

         ≠ -1

The solution is no, because the product of the slopes is not -1.

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3 years ago
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Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of t
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Answer:

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Step-by-step explanation:

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Y = 3x + 10<br>Y = 2x - 8<br>find the substitution <br>Show your work please ill give brainlyest ​
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Answer:

x = -18, Y = -44

Step-by-step explanation:

Since Y = 2x - 8, we can substitute that into the first equation:

2x - 8 = 3x + 10

3x - 2x = -8 - 10

x = -18

Now we plug x = -18 back into the second equation:

Y = 2(-18) - 8

Y = -36 - 8

Y = -44

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