All categories

2 years ago

Find the equation of a line that is parallel to line g that contains (P, Q).

Mathematics

2 answers:

Fofino [41]2 years ago

8 0

Correct option:

$\boxed{x-y=P-Q}$

<h2>Explanation:</h2>

Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1$

So we can write the point-slope form of the equation of the line as follows:

$y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}$

<h2>Learn more:</h2>

Graphying systems of linear equations: brainly.com/question/13799715

#LearnWithBrainly

Lorico [155]2 years ago

3 0

Answer:

X - Y = P - Q

Step-by-step explanation:

You might be interested in

Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$

<h3>Answer:</h3>

$y = -\frac{2}{3}x +5\\$ is your equation.

3 0

2 years ago

What is the value of 13.997x4 to 2 decimal places ?

VARVARA [1.3K]

Answer:

Hence the answer to 2 decimal places becomes 55.99

Step-by-step explanation:

SOLUTION

We want to solve:

13.997×4 to 2 decimal places

Now:

13.997×4=55.988

Now, 55.988 to decimal places, after the decimal point, we count the first two numbers, which are 9 and then 8. Then check the number after the 8, is it up to 5? Yes, it is, because it is 8. Now change the 8 to 1 and add it to that second number after the decimal point, this gives nine.

Hence the answer to 2 decimal places becomes 55.99

5 0

1 year ago

Solve 25+10*(12-x)=5*(2x-7)

lions [1.4K]

<span>Simplifying 25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)

Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7)

Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
Solving 145 + -10x = -35 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
Combine like terms: -10x + -10x = -20x 145 + -20x = -35 + 10x + -10x

Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35
Add '-145' to each side of the equation. 145 + -145 + -20x = -35 + -145

Combine like terms: 145 + -145 = 0 0 + -20x = -35 + -145 -20x = -35 + -145

Combine like terms: -35 + -145 = -180 -20x = -180
Divide each side by '-20'.
x = 9
Simplifying x = 9.
Hope this helps you ! =')</span>

4 0

2 years ago

Rewrite the polynomial -2x3+4x5-3x2-7 in descending order, using coefficients of 0 for any missing terms

seropon [69]

4x5-2x3-3x2-7 descending means basically the same thing as greatest to least

8 0

2 years ago

List two pairs of angles in square CDFG that are complementary

Setler [38]

Answer:

1st pair: ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

4 0

2 years ago