All categories

3 years ago

write the equation of a line that is parallel to y = -7/5x + 6 and that passes through the point (2, -6)

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

Answer:

y = -7/5x - 6.7

Step-by-step

y = -7/5x + 6. A Line that is parallel will always have the same slope. The slope is m. m in this situation = -7/5x. A lines equation is y = mx + b. m = -7/5. y = -7/5x + b. Now to find b we can substitute the given point which goes through the new line, (2, -6). In this point x =2 and y = -6. Now substitute the x and y values into our equation. y = -7/5x + b is now -6 = -7/5(2) + b. -7/5(2) = -7/10. -6 = 7/10 + b. Subtract 7/10 from -6. Its -6 and 7/10 or -6.7 . -6.7 = b. b = -6.7. Now substitute the b value into the equation. y = -7/5x -6.7.

You might be interested in

If al|b, mZ1 = 10x + 2 and mZ4 = 5x + 13 , find mZ1 and m<2

morpeh [17]

Um un um i’m i’m in i’m i’m um um u me m um i’m in ...21

5 0

3 years ago

The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac

zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

70 chairs are 24m apart, so it can be written as:

70 ∝ $\frac{1}{24}$

For, 1 chair , we divide both sides by 70

$\frac{70}{70}$ ∝ $\frac{1}{24(70)}$

1 ∝ $\frac{1}{24 (70)}$ -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80 ∝ $\frac{80}{24 (70)}$

80 ∝ $\frac{1}{21}$

So according to the above relation,

80 evenly spaced chairs will have a space of 21 m between them.

7 0

3 years ago

Use the distributive property to simplify. -1(2p – q + 5)

Studentka2010 [4]

D. -2p + q - 5 - you have to multiply, then distribute parentheses and apply plus or minus rules.

8 0

3 years ago

Quadratic equations of the form _____ can be solved using square roots

icang [17]

Answer:

Step-by-step explanation:

Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "

6 0

3 years ago

Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much

nlexa [21]

Answer:

$10 coins: 21

$20 coins: 24

Step-by-step explanation:

heyy me again

So we can create 2 equations where

x = number of $10 coins

y = number of $20 coins:

x + y = 45

10x + 20y = 690

we can move equation 1 around so that we can get a value of x

x = 45 - y

now we can substitute x into the second equation

10(45 - y) + 20y = 690

450 - 10y + 20y = 690

10y = 240

y = 24

Now plug in y back into the first equation

x = 45 - y

x = 45 - 24

x = 21

8 0

3 years ago