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3 years ago

Find the equation of the line that passes through (1,3) and is perpendicular to y=1−2x. Leave your answer in the form y=mx+c

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

The equation of the line that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2

Step-by-step explanation:

We can rewrite the original equation as y=-2x+1

To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2

So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:

y=1/2x+b

3=1/2(1)+b

3=1/2+b

5/2=b

Therefore, your final equation is y=1/2x+5/2

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Solve this ASAP 12/y equals 4/3

OLEGan [10]

Answer:

y=9

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Step-by-step explanation:

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3 years ago

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

on monday, a parking garage was 60% full, with 120 cars parked. on tuesday, there were 30 more cars parked jn the garage than th

vlada-n [284]

Answer:

75%

Step-by-step explanation:

we know that 60% of x is 120. we can rewrite this to .6x = 120, to get x we divide both sides by .6, so x = 200. now 120 + 30 = 150. then we divide 150 out of 200 which is .75 it 75%

8 0

3 years ago

What is the median of 16, 20, 20, 23, 25, 27, 29, 31, 31, and 32.

seraphim [82]

Answer:

Step-by-step explanation:

The madian is gis

5 0

3 years ago

Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar

jonny [76]

9514 1404 393

Answer:

2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

(x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

(x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

(x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

2x² +5x -12 = 0

5 0

2 years ago