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3 years ago

Complete the equation of the line whose y-intercept is (0.-1) and slope is 4.

1 answer:

meriva3 years ago

3 0

Well just by looking at the information provided, you can tell that the equation would look like y = 4x -1. The y-intercept is -1 because the x value is 0. But if you want to see how to solve it algebraically, here’s an explanation... You need to substitute the y-intercept into the equation in order to solve for b, which would then complete the equation. Take the equation y=mx+b. Substitute in the slope and xy values, (-1) = 4(0) + b. Now the equation should look like this: -1 = b. So now that you have the value of b, the complete equation should be y=4x-1

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

6 0

2 years ago

Appropriate Inverse Operation

Nimfa-mama [501]

Multiplying both sides of the equation by 3 and substituting 4 for p

5 0

2 years ago

Convert 12 1/2% into a decimal (It isn't 12.50)<br>Convert 12 1/2% into a fraction (It isn't 25/2)

Hoochie [10]

Answer:

0.125 and 1/8

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.

12.50% / 100 = 0.125

To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.

$\frac{0.125}{1}$ · $\frac{1000}{1000}$ = 125/1000

Divide the numerator and denominator by the GCF, 125, to get your simplified fraction.

125/125 = 1

1000/125 = 8

125/1000 = 1/8

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3 years ago

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leva [86]

Answer:

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2 years ago

22+n=−12<br> pls help me im kinda confused

Ede4ka [16]

Answer:

-34

Step-by-step explanation:

22+n=-12

n=-12-22

n=-34

When you bring a positive constant to the other side of the equal sign it goes negative and vise versa. Then you combine like terms.

Please follow me!!!! Hope this helps!!! Have a wonderful day :)

3 0

2 years ago