1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexus [3.1K]
3 years ago
7

Property . Simplify the expression 2(5+r) using the distributive property.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

2x5 = 10

1xr = 2r

Ans : 10+2r

Step-by-step explanation:

You might be interested in
PLEASE HELP, MARKING BRAINLIEST!!!!<br><br> What is the value of x??
Montano1993 [528]

Answer:

10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Max points and brainliest
Paul [167]

Answer:

-2

Step-by-step explanation:

slope = (y1-y2)/(x1-x2)

= (3-1)/(0-1)

= 2/-1

= -2

3 0
3 years ago
Read 2 more answers
Find the equation of the line containing the points (0,3) and (1,8)
Tema [17]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)

m = \frac{8-3}{1-0} = 5

Note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 5x + 3 ← equation in slope- intercept form

5 0
3 years ago
Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
2 years ago
Read 2 more answers
write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

8 0
2 years ago
Other questions:
  • Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y
    8·2 answers
  • Whats the answer plzz answer for me
    13·1 answer
  • When p is false and q is true, then p or q is true or not?
    11·1 answer
  • Practice writing equations from sentences. Assignment Which sentences describe the relationship between an expression and an equ
    9·1 answer
  • PLEASE HELP ME (URGENT)!!!!!<br>EXTRA POINTS WILL BE GIVEN TO THE BRAINLIEST ANSWER!!!​
    10·2 answers
  • What is 1 + 1 hhehehehhee
    15·1 answer
  • PLEASE HELP I"LL MARK YOU THE BRAINLEST AND GIVE YOU ADDITIONAL POINTS&gt; HELP ITS DUE VERY SOON. To answer this question you m
    7·2 answers
  • What will you find on a savings account statement? explain
    6·1 answer
  • At a contest spped a car teavels 75 miles in 60 minutes how far deos the car travel in 18 minutes if you get stuck consider usin
    12·1 answer
  • Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!