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DerKrebs [107]
3 years ago
5

Write an equation of the line that passes through (1, −1) and is perpendicular to the line y=1/2x−3. An equation of the perpendi

cular line is y=
Mathematics
2 answers:
ANEK [815]3 years ago
8 0
We know that a line is perpendicular to another line if one slope is the opposite reciprocal  of the other. So, the slope of the line perpendicular to y=1/2x-3 would by -2/1 or -2. Now, to find the y intercept, plug in the coordinate (1, -1) to the equation y = -2x + b. 

-1 = -2(1) + b
 
-1 = -2 + b

1 = b

Now we know the y intercept and slope of the new line, which is enough to make the equation. y = -2x + 1 is your answer. 

Hope this helps!! :)

lapo4ka [179]3 years ago
6 0
Y = 1/2x - 3. Slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So the perpendicular line will have a slope of -2.

y = mx + b
slope(m) = -2
(1,-1)...x = 1 and y = -1
now we sub and find b, the y int
-1 = -2(1) + b
-1 = -2 + b
-1 + 2 = b
1 = b

so ur perpendicular equation is : y = -2x + 1
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Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
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3 years ago
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Solve for the following y: -6x +2y=8
frosja888 [35]
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If you multiply the sum of 546 and 1711 by zero, what will be your result?​
Tomtit [17]

Answer:

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Step-by-step explanation:

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A triangle with three angles of the same measure would be best classifie as
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