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3 years ago

Write the equation of the line slope 2, through (3,1)

Mathematics

2 answers:

exis [7]3 years ago

7 0

Answer:

y-1=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-3)

Arisa [49]3 years ago

6 0

answer:

y = 2x - 5

work:

to write equations, we use the format y = mx + b.

m stands for the slope, and b stands for the y intercept.

this means that you should be able to enter the values for y and x and get a valid equation as a result.

in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.

so, let's substitute in the values of y and x and the slope,

and solve for b, the y intercept.

1 = 2(3) + b (multiply 2 x 3)

1 = 6 + b (subtract 6 from both sides)

- 5 = b

b has a value of -5. let's place this into the equation.

y = 2x - 5.

the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.

1 = 2(3) - 5

1 = 6 - 5

1 = 1

so, this equation is correct. hope this helps and have a great day!

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A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a de

marin [14]

Answer:

$\frac{23}{4}$ feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 $\frac{1}{2}$ feet

= $\frac{5}{2}$ feet

The depth of the fish to its initial position at 4:00 pm = 3 $\frac{1}{4}$ feet

= $\frac{13}{4}$ feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

= $\frac{5}{2}$ + $\frac{13}{4}$

= $\frac{10 + 13}{4}$

= $\frac{23}{4}$

The position of the fish with respect to the water's surface at 4:00 pm is $\frac{23}{4}$ feet.

8 0

3 years ago

True or false the square root of 16 is 4 explain why this is true

skad [1K]

true because the square root is a number times itself and 4*4 is 16

4 0

3 years ago

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How much vulcanized rubber is needed to make a hockey puck? (Assume<br> the puck is filled solid)*

Aneli [31]

Answer:

Step-by-step explanation:

Givens

d = 3"

h = 1 inch

pi = 3.14

Formula

V = pi r^2 h

Solution

r = d/2

r = 3/2 = 1.5

V = 3.14 * 1.5^2 * 1

V = 3.14 *2.25

V = 7.065

3 0

3 years ago

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Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't

AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form $y=a(1+r)^x$ , where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

$3\%=\frac{3}{100}=0.03$

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

$y=160(1+0.03)^x$

$y=160(1.03)^x$

To find amount of money in Clare's account after 30 years, we need to substitute $x=30$ in our equation.

$y=160(1.03)^{30}$

Therefore, the expression $160(1.03)^{30}$ represents the amount of money that Clare would have after 30 years.

8 0

3 years ago

Hiii please help! i’ll give brainliest if you give a correct answer tysm!

Stolb23 [73]

Multiply 9 and 5 then multiply by .5 giving you 22.5 so I’d say that’s your best option

5 0

3 years ago