All categories

1 year ago

Find an equation of each line given one point and the slope : (4, 8); slope 8

Mathematics

1 answer:

Fudgin [204]1 year ago

3 0

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

You might be interested in

A survey of 200 families showed that

KengaRu [80]

Answer:

15 is the answer , the total people who has dogs , cats , parakeets and none is equals to 185 then from 200 you minus 185 which is 15 so 15 people had parakeets only

4 0

3 years ago

Water flows from a faucet at a constant rate. Assume that 6 gallons of water are already in a tub by the time we notice the fauc

Thepotemich [5.8K]

The equation would be y=3.2x+6

6 0

3 years ago

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th

hodyreva [135]

Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = $x$ .

The number of quarters = $y.$

So, the total number of coins:

$x+y=15.$

He had 3 more quarters than nickels.

Thus,

$y=x+3$ .....(1)

Now, to get the solution:

$x+y=15$

Substituting the equation (1):

$x+(x+3)=15$

$x+x+3=15$

$2x+3=15$

Subtracting both sides by 3 we get:

$2x=12$

Dividing both sides by 2 we get:

$x=6.$

The number of nickels = 6.

Now, substituting the value of $x$ in equation (1):

$y=x+3\\\\y=6+3\\\\y=9.$

The number of quarters = 9.

Thus, there are 6 coins in nickels and 9 coins in quarters.

6 0

3 years ago

Help me pls! I’m struggling!

sukhopar [10]

$30 {t}^{2} {v}^{5} + 12 {t}^{2} {v}^{7}$

8 0

2 years ago

A cubic function with roots at 2, 0 and 3 containing the point at (5,-6)

natulia [17]

Answer:

Cubic equations and the nature of their roots

Just as a quadratic equation may have two real roots, so a cubic equation has possibly three. But unlike a quadratic equation which may have no real solution, a cubic equation always has at least one real root.

5 0

2 years ago