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3 years ago

For what value of a are the lines of 6y=-2x+4 and 2y=ax-5 parallel? perpendicular?

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Hey there!!

Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.

The y-intercept form:

y = mx + b

In this equation, 'm' is considered to be the slope.

The equation we have is 6y = -2x + 4

First, let's divide all the sides with 6 to isolate the value of 'y'.

... 6y = -2x + 4

... y = -1/3x + 2/3

The slope is -1/3...

... hence the slope in the other equation should be -1/3.

Equation we got...

... 2y = ax - 5

Let's divide by 2 on both sides...

... y = ax/2 - 5

The slope in this a/2

Hence, ...

... a/2 = -1/3

... 3a = -2

... a = -2/3

<h2>Hence, the value of a is -2/3. </h2><h3>Hope my answer helps!</h3>

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Answer:

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Step-by-step explanation:

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3 years ago

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from a) 5 to 11? b)2 to 8? c)10

LenKa [72]

Answer: 1/2, 1/2, 1/4

Step-by-step explanation:

To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12

Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number

13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution

4 0

2 years ago

Read 2 more answers

Find the next three terms of the sequence 80, –160, 320, –640, . . .

posledela

1280, -2560, 5120

Multiply the preceding term by -2 and

8 0

4 years ago

Read 2 more answers

Please help asap 25 pts

beks73 [17]

$y=ax^2+bx+c\\\\\text{Axis of symmetry:}\ x=\dfrac{-b}{2a}$

$\text{We have:}\\\\y=4x^2+16x-18\\\\a=4;\ b=16;\ c=-18\\\\x=\dfrac{-16}{2\cdot4}=\dfrac{-16}{8}=-2$

Answer: A.

6 0

3 years ago

Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours w

Novosadov [1.4K]

Answer:

42 Hours.

Step-by-step explanation:

As an equation where y is the total pages and x is hours of class:

y=1+1x since she started with 1 page and does 1 page per hour.

Setting the total pages she needs as 43 (y=43) we get:

43=1+1x

Subtract one on both sides

42=1x

The 1 doesn't need to be written so

x=42

Therefore, it'll take her 42 hours to write all those notes.

4 0

3 years ago