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Yakvenalex [24]
2 years ago
13

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:

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If m(x) =x+5/x-1 and n(x) = x - 3, which function has the same domain as (mºn)(x)?
GREYUIT [131]

We have

M(X) = (X + 5)/(X - 1)

N(X) = X - 3

So,

M(N(X)) =  [(X - 3) + 5]/[(X - 3) - 1]

<h3>M(N(X)) =  [X + 2]/[X - 4]</h3>

The M(N(X)) domain will be:

D = {X / X ≠ 4}

4 ∉ to the M(N(X)) domain, otherwise we would have a/0, which is not possible (a denominator with zero). An equivalent function would be

H(X) = 1/(X - 4)

5 0
3 years ago
Jejehrhehekjejrbehjehrbebe
poizon [28]

Answer:

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5 0
2 years ago
Read 2 more answers
Who can help me please
lakkis [162]
The dimensions of the bottom of the drawer are:
20 cm × 40 cm

So the area is : 800 cm² (rectangular shaped)

The area formula of a circle is:
\pir²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
\pi(10)²
100\pi
314.16 cm²

2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²

Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²
7 0
3 years ago
Suppose you discover that your growth fund, income fund, and money market fund return
Alik [6]

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

3 0
3 years ago
Find the variable 15 = 5 − 13
Lyrx [107]

Answer:

0.4

Step-by-step explanation:

15 = 5p - 13

-13 = 5p -13

----------------  ( subtract 13 on both sides )

 <u> 2 = 5p</u>

  5 = 5p

----------------  ( divide 2 by 5 )

  p = 0.4

( p equals 0.4 )

7 0
2 years ago
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