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3 years ago

(0,1)(4,2) find the slope and y-intercept using the point slope formula

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Hello, Jssoyg! I've solved the problem for you below. I hope it helps.

Slope equation is $\frac{y2 - y1}{x2 - x1}$ . The two points are (0,1) and (4,2), so the equation becomes $\frac{2 - 1}{4 - 0} = \frac{1}{4}$ . We now know that the slope is 1/4, so now let's write it in the $y = mx + b$ format. Plug in the m, x, and y values: $2 = 4*\frac{1}{4} + b$ .

This becomes $2 = 1 + b$ which means b = 1.

Your answer is y = 1/4x + 1. Hope this was helpful. :D

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Timothy brought in brownies for his class on his birthday.

IgorC [24]

Answer:

Incomplete problem - reword

Step-by-step explanation:

8 0

2 years ago

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.

storchak [24]

The mathematical equation for volume of a cylinder is pi times radius Squared Times height

The radius squared is 36

So 3.14 x 36 =113.04
Then you multiply 113.04 x 7 = 719.28.
Round that number and you get to 791.3.

So the answer is c

8 0

3 years ago

!*I NEED HELP AND QUICK*!

rewona [7]

1)96/8=12
2)(95*6+5)/6 : (24+1)/3 = (95*6+5)/6 : 2*25/6 = 575/6 *6/50=575/50
=23/2=11 1/2
11 1/2

3) (11 1/2)*12 area of the one type of the wall, there are 2 such walls
(11 1/2)*12*2
(8 1/3)*12 area of the second type of the wall, there are 2 such walls
(8 1/3)*12 *2

Altogether area of the walls:
(11 1/2)*12*2 + (8 1/3)*12 *2=12*2(11 1/2 + 8 1/3)= =24(19+3/6+2/6)=24(19+5/6) = 456 +24*(5/6)= 456+20= 476

Tamara needs total 476 square feet, which is less than 480 square feet, so she has enough paint.

5 0

3 years ago

Someone help ASAP!!!!!!

Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒ Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $\frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)}$

$= \frac{-7 \pm \sqrt{49 + 8(99)}}{4}$

$= \frac{-7 \pm + \sqrt{841}}{4}$

Since, $\sqrt{841} = 29$ we get:

$w = \frac{-7 \pm 29}{4}$

This gives two values of 'w', viz., w = $\frac{-7 - 29}{4}$ , $\frac{-7 + 29}{4}$

$\implies w = \frac{22}{4}, \frac{-36}{4}$

⇒ w = $\frac{22}{4}$ , -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0

2 years ago

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

Vedmedyk [2.9K]

Answer:

a) 151lb.

b) 6.25 lb

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

In this problem, we have that:

$\mu = 151, \sigma = 25, n = 16$

a) The expected value of the sample mean of the weights is 151 lb.

(b) What is the standard deviation of the sampling distribution of the sample mean weight?

This is $s = \frac{\sigma}{\sqrt{n}} = \frac{25}{\sqrt{16}} = 6.25$

8 0

2 years ago