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3 years ago

Find the distance between (-7, -2) and (11,3). Write your answer to one decimal. Your answer

Mathematics

1 answer:

scoray [572]3 years ago

4 0

Answer:

<h3>The answer is 18.7 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7, -2) and (11,3).

The distance between them is

$d = \sqrt{( { - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ( { - 5})^{2} } \\ = \sqrt{324 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{349} \: \: \: \: \: \: \: \: \\ = 18.681541692... \: \: \: \: \:$

We have the final answer as

<h3>18.7 units to the one decimal place</h3>

Hope this helps you

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What fraction is shaded and what percentage is shaded

olganol [36]

Answer:

a) 6/9

b) 66.66%

Step-by-step explanation:

a) Total number of the small triangles inside the big triangle=9

and the shades = 6

friction of shaded = 6÷9

b) percentage of shaded = 6÷9 ×100

=66.6666%

4 0

3 years ago

Select the correct answer. During the summer, Jody earns $10 per hour babysitting and $15 per hour doing yardwork. This week she

omeli [17]

Answer:

A. x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

10x +15y = 410 . . . total earnings

So, the system of equations is ...

x + y = 34
10x + 15y = 410

3 0

3 years ago

Suppose the linear regression line y = 4.009x - 77.531 predicts a pizza

fredd [130]

Answer:

Option C, 1225

Step-by-step explanation:

y=4.009x-77.531

selling 325 pizzas, so x=325, now putting the value of x in the equation,

y=4.009×325-77.531

or, y=1225.394

y = 1225.394, which is the profit, if we approximate it to the nearest value, it's $1225

7 0

3 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$