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ANTONII [103]
3 years ago
9

Fine the equation of the line through (o, -3) perpendicular to y =4x+4​

Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

The equation of the line is y = -\frac{x}{4} - 3

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

4m = -1

m = -\frac{1}{4}

So

y = -\frac{x}{4} + b

Through (0, -3)

This means that b = -3

So

y = -\frac{x}{4} - 3

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The problem deals with a division and the rest of it, that is dividing the total amount of pencils into 9 classrooms and the rest, lets express it as fraction:
935/9 = 103 + 8/9
that is, if we multiply 103*9 we get 927 and are 8 pencils left over, therefore, 8 pencils are donated to the library and each classroom gets 103 pencils, in total 935 pencils are donated.
8 0
3 years ago
Read 2 more answers
A line passes through the point (0,6) and is parallel to the line with the equation y =
Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

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Best Regards!

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2 years ago
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The sum of Ted's and Leon's ages is
olganol [36]

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14  ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

<h2>T=12/2=6 (Ted is 6 years old)</h2><h2>A=2+T=2+6=8 ( Andrew is 8 years old)</h2><h2>Leon=13-T=13-6=7 ( Leons is seven years old)</h2>

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

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3 years ago
Plz help ASAP plz ASAP plz
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8

Step-by-step explanation:

where the 2 lines cross would be the point at which they are the same. It appears as if their point of intersection is at 8 rentals for $14

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3 years ago
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Aloiza [94]
Short leg = 30 x cos(60) = 15
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3 years ago
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