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
STatiana [176]
2 years ago
15

Simplify 6sqrt20 + 8sqrt5 – 5sqrt45

Mathematics
1 answer:
lukranit [14]2 years ago
6 0

Answer:

  • 5√5

Step-by-step explanation:

<u>Simplify</u>

  • 6√20 + 8√5 - 5√45 =
  • 6√4(5) + 8√5 - 5√9(5) =
  • 6(2)√5 + 8√5 - 5(3)√5 =
  • (12 + 8 - 15)√5 =
  • 5√5
You might be interested in
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
2 years ago
Peter is reading a 193-page book. He has read three pages more than one-fourth of the number of pages he hasn’t yet read. How ma
viva [34]
N + n/4 + 3 = 193
5n/4 = 190
n = 152
At 8 pages per day it will take 152 pages/ 8 pages/day = 19 days
5 0
3 years ago
Read 2 more answers
Solve the problem. The formula d = rt gives the distance traveled in time t at rate r. If a bicyclist rides for 2.3 hours and tr
Contact [7]

Answer:

17.83

Step-by-step explanation:

d = r*t

d = 41 miles

t = 2.3 hours

r = ??

d = rt            Substitute

41 = r * 2.3   Divide by 2.3

41 / 2.3 = r   Switch sides

r = 41/2.3

r = 17.83 mph  Answer


4 0
3 years ago
Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9
amm1812
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
8 0
3 years ago
20 POINTS!!!!!!!! A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is
LUCKY_DIMON [66]

Answer:

Each side of the photocopy of the picture is  enlarged by a factor of 2 so it would be A.

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
Other questions:
  • Brian decided to start a dog-walking service. He's going to charge each dog owner $4.50 to walk one dog and $6.75 to walk two do
    10·2 answers
  • Rewrite each number from standard notation to scientific notation. 18,200,000,000
    10·1 answer
  • Refer to the table of body temperatures (degrees Fahrenheit). Is there some meaningful way in which each body temperature
    11·1 answer
  • Express the numbers as a product of its prime factors . Give ur answer in power form
    8·1 answer
  • Consider the equation and its solution. Negative 15 (x minus box) = 25. Negative 15 x + 30 = 25. Negative 15 x = negative 5. x =
    12·2 answers
  • I need help as soon as possible!
    5·2 answers
  • What is the length of line AB
    7·1 answer
  • Needddd helppp plzzzzz
    10·1 answer
  • What is the rate of change seen in the graph below?
    10·1 answer
  • Cecil’s remark in line 1 ("Lucy . . . faults") is made
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!