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3 years ago

Write an equation of the line that passes through (1,2) and is parallel to the line y=−5x+4

Mathematics

2 answers:

liq [111]3 years ago

4 0

We know that the slope is -5, so:

y = -5x + b

Input (1, 2)

2 = -5 + b

b = 7

So:

y = -5x + 7

lukranit [14]3 years ago

3 0

You are using the equation:

y = mx + b

You need to find "m" and "b".

"m" is the slope, "b" is your y-intercept(when x = 0)

For the equation of the line to be parallel to the given equation, the slopes have to be the SAME. The slope of the given line is -5, so the parallel line's slope is also -5. (m = -5)

y = mx + b

y = -5x + b

To find b, you plug in the point (1,2) into the equation

y = -5x + b

2 = -5(1) + b

2 = -5 + b Add 5 on both sides to get "b" by itself

2 + 5 = -5 + b + 5

7 = b

Your equation is:

y = -5x + 7

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In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the dra

Feliz [49]

Answer:

$\frac{15}{37.5}\ \frac{cm}{ft}$

$1.31:100$

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

$\frac{15}{37.5}\ \frac{cm}{ft}$

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

$1\ ft=30.48\ cm$

Convert 15 cm to ft

divide by 30.48

$15\ cm=15/30.48\ ft$

substitute

$\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}$

$1.31:100$

That means

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3 years ago

What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

<u>Given</u>:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

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0.6x/0.6 = 0.6/0.6

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Step-by-step explanation:

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