What is UT? UV= 8 TV= 17 UT= ?

Write an equation of the line passing through the points (4,6) and (-2, - 18).

olga_2 [115]

Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

point-slope formula: $y-y_{1}=m\left(x-x_{1}\right)$

Use slope formula and plug in your numbers: $m = \frac{-18-6}{-2-4 }$
Solve for slope $m = 4$
Use the point-slope formula to solve for the equation: $y-6=4\left(x-4\right)$
Solve and find equation: $y=4x-10$

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

4 0

2 years ago

What does the graph of lnx look like?

qwelly [4]

This is what the graph of in(x) looks like

7 0

2 years ago

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$

7 0

3 years ago

Find a 101 of the sequence 5, 8, 11, .... A. 302 B. 311 C. 305 D. 308

Dimas [21]

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

= 5+3(100)

= 5+300

= 305

5 0

2 years ago

A worker earns $5.15/h receives a raise. She now earns $6/h. Find the percent of increase in her hourly rate of pay.

Svetllana [295]

Answer:

The percentage increase in worker wages in hourly rate of pay is 16.5%

Step-by-step explanation:

Given as :

The Initial wages earn by worker = $ 5.15 per hour

The Final wages earn by worker = $ 6 per hour

Let The percentage increase in her hourly rate of pay = x %

Now, According to question

x % = $\dfrac{\textrm Final earning - \textrm Initail earning}{\textrm Initial earning}$

or, x = $\dfrac{\textrm $ 6 - \textrm $ 5.15}{\textrm $ 5.15}$ × 100

or, x = $\frac{0.85}{5.15}$ × 100

or, x = 0.165 × 100

∴ x = 16.5%

So , Percentage increase in wages = x = 16.5 %

Hence The percentage increase in worker wages in hourly rate of pay is 16.5% Answer

5 0

3 years ago