Ask question

Ask question

All categories

Free_Kalibri [48]

3 years ago

11

Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

1 answer:

MakcuM [25]3 years ago

5 0

Answer:

$d = \sqrt{13}$ or d = 3.61

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}$

You might be interested in

Five cupcakes and two cookies cost $19.75. Two cupcakes and four cookies cost $ 17.50.

alina1380 [7]

Answer:

Step-by-step explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost $19.75.

$5x+2y=19.75 ---------- 1$

Two cupcakes and four cookies cost $17.50.

$2x+4y=17.50 --------------2$

Let's solve the simultaneous equation by elimination;

Multiply equation 1 by 2;

$10x+4y=39.50-------3\\$

Subtract equation 2 from equation 3;

$10x-2x+4y-4y=39.50-8x=22$

$8x=22$

divide both sides by 8

$\frac{8x}{8} =\frac{22}{8} \\x=2.75$

Since we have the value of x, let substitute into equation 1 to get y;

$5x+2y=19.75\\5(2.75)+2y=19.75\\13.75+2y=19.75\\2y=19.75-13.75\\2y=6\\y=\frac{6}{2} \\y=3.00$

therefore , the cost of cupcakes and cookies are;

$cupcakes= 2.75\\cookies= 3.00$

PLEASE MARK ME AS BRAINLIEST

6 0

3 years ago

5 3/5 divide 2 2/3 answer in simplest form

omeli [17]

Answer:

$1 \frac{2}{5}$

Step-by-step explanation:

= $5\frac{3}{5} / 2 \frac{2}{3}$

= $\frac{28}{5} / \frac{8}{2}$

= $\frac{28}{5} * \frac{2}{8}$

= $\frac{7}{5}$

= $1 \frac{2}{5}$

6 0

3 years ago

a ladder leans against a house making a right triangle with the ground and the wall of the house. The top of the ladder rests on

Dovator [93]

Answer:

Step-by-step explanation:

there ya go

3 0

3 years ago

I need some help on my homework

irakobra [83]

What do you need help with I cant help if I don't know what problems to solve

6 0

3 years ago

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0

2 years ago