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2 years ago

Geometry Proof - Thanks for any help!

Mathematics

1 answer:

navik [9.2K]2 years ago

5 0

The answer will be B

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Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

$ax + by = c$

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following point-slope equation of a line:

$y+4 = -\frac {2} {3}(x-12)$

The slope is:

$m_ {1} = - \frac {2} {3}$

We find the slope $m_ {2}$ of a perpendicular line:

$m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}$

Thus, the equation is of the form:

$y-y_ {0} = \frac {3} {2} (x-x_ {0})$

We have the point through which the line passes:

$(x_ {0}, y_ {0}) :( 2, -3)$

Thus, the equation is:

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

We manipulate algebraically:

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

We add 3 to both sides of the equation:

$y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x$

We multiply by 2 on both sides of the equation:

$2(y + 6) = 3x\\2y + 12 = 3x$

We subtract 3x on both sides:

$2y-3x + 12 = 0$

We subtract 12 from both sides:

$2y-3x = -12$

ANswer:

$-3x + 2y = -12$

5 0

2 years ago

Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,

Iteru [2.4K]

The speed is the ratio between the distance and the time:

$s=\frac{d}{t}$

Data:

d=6343miles

t=9h

$s=\frac{6343\text{miles}}{9h}=704.77\frac{miles}{h}$ Then, the plane traveled at a speed of 704.77 miles per hour.

8 0

10 months ago

Which is the most reasonable way to estimate 26% of 88?

N76 [4]

Answer:

88 x 0.26 = 22.88% or 23%

5 0

3 years ago

Read 2 more answers

HELP ASAP

Westkost [7]

Answer:

(5 1/2)(7.25)=

11/2(7.25)

=39.875

Step-by-step explanation:

multiply 5 1/2 by 7.25 and u will have yo answer

5 0

3 years ago

Read 2 more answers

Which number has the same value as 20 tens

barxatty [35]

200 has the same value as 20 tens beucase 20*10=200

4 0

3 years ago