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3 years ago

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

2 answers:

5 0

$x_{1}=2\\y_1=4\\x_2=4\\y_2=10$
equation of the line passes through two points:
<u /> $(x_2-x_1)(y-y_1)=(y_2-y_1)(x-x_1)\\(4-2)(y-4)=(10-4)(x-2)\\2y-8=6x-12\\2y=6x-4\\y=3x-2$

lesantik [10]3 years ago

3 0

The slope is $\frac {10-4}{4-2} = 3$ and thus our equation becomes $y-4=3*(x-2)$ .
If we rearrange terms we get $y=3x-2$

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The key personal decisions that can influence your personal safety while exercising are __________. A. making sure to replace lo

saul85 [17]

Making sure to replace lost fluids, before, during, and after exercise.

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3 years ago

A tutot earns $105 for 3 hours of tutoring. How much would she earn if she tutored for

AlexFokin [52]

Answer:

$297.50

Step-by-step explanation:

If she earns 105 for three hours, she would be earning $35 an hour.

105/3=35

If she works 8.5 hours, to find the amount you would multiply the hourly rate ($35) by 8.5. So, the answer is

8.5x35=$297.50

8 0

3 years ago

Read 2 more answers

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

3 years ago

Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6

kondor19780726 [428]

When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.

3 0

3 years ago

A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Varvara68 [4.7K]

Answer:

$2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : $\pi 10^{2}$ = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2 $\pi$ 10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = $2036.75088022^{2}$ or $2036.8^{2}$ rounded to the nearest tenth

6 0

3 years ago