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
Vitek1552 [10]
3 years ago
5

Find the square root of 14+6√5​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

<u>Answer:</u>

3 + √5

<u>Step-by-step explanation:</u>

Find the square root of 14+6√5​

Change to √ ( 14 + 6√5 ) = √x + √y

1️⃣ Square.

<em>14 + 6√5 = x + y + 2√xy</em>

<em>14 + 2√45 = ( x + y) + 2√xy</em>

2️⃣ Compare.

<em>(x + y) = 14</em>

<em>xy = 45</em>

3️⃣ Solve.

<em>(x - y)² = (x+y)² - 4xy</em>

<em>( x - y)² = 14² - 180</em>

<em>( x - y)² = 196 - 180</em>

<em>( x - y)² = 16</em>

<em>( x - y) = 4</em>

<em />

<em>x + y = 14</em>

<em>x - y = 4</em>

<em />

<em>2x = 18</em>

<em>x = 9 .</em>

<em />

<em>y = 5 .</em>

<em />

<em>14 + 6√5 = √9 + √5 = 3 + √5 .</em>

Answer: 3 + √5 .

Done ✔

You might be interested in
If h(n) = -4n + 4 and g(n) = 3n - 5,<br> what is (h + g)(n)?
ExtremeBDS [4]

Answer:

i believe the answer is 20n-20

Step-by-step explanation:

use the distributive property to add all the like terms

-12n+20n+12n-20

20n-20

6 0
3 years ago
A restaurant charges $10 for a medium pizza and $1 for each topping what is the proportion
notsponge [240]

Answer:

1/11 if you mean the proportion of the cost of the topping to the cost of the whole pizza

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help picture shown
Irina-Kira [14]
X-y,

Cause X could  be  1 and y could be 10.

5 0
3 years ago
Read 2 more answers
Solve the equation using the Quadratic Formula. x2 - 8x + 15 = 0 Select the correct choice below and, if necessary, fill in the
Ahat [919]

Answer:

x = (5,3)

Step-by-step explanation:

the quadratic formula is x =( -b±√(b^2-4ac))/2a

to solve for x, a=1, b=-8,c=15

x =( -(-8)±√((-8)^2-4*1*15))/2(1)

x=8 ± √(64-60))/2(1)

x=(8 ± √(4)) / 2

x=(8 ± 2) / 2

solve with '+'

x=(8 + 2) / 2 = 10/5 = 5

solve with '-'

x=(8 - 2) / 2 = 6/2 = 3

x = (5,3)

5 0
3 years ago

pashok25 [27]
To answer this, set up a system of equations. What we know is that

5x + 2y = 100
And...
x+y=38

x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions

In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).

So,

x+y=38

Subtract x from both sides

y=38-x

Now, plug (38-x) in as y in the other equation.

5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8

Now that you know that x=8, you can solve for y.

5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30


X=8
Y=30

There are 8 five point questions on the test and 30 two point questions on the test

8 0
3 years ago
Other questions:
  • afael is building a circular table with a diameter of 2.5 feet. The wood costs $32.50 per square foot. How much will it cost Raf
    7·1 answer
  • Write the equation of the line fully simplified slope-intercept form.<br> x<br> y
    15·2 answers
  • 6. What is the volume of the cone?
    7·1 answer
  • What is the sum of the measures of the acute angles of any right triangle? Explain your reasoning.
    13·2 answers
  • Write a subtraction sentence using integers.than,write the equivalent addition sentence and explain how to find the sum.please h
    11·1 answer
  • Solve and graph <br> y&gt;3x<br> y&gt;-x-8
    14·1 answer
  • If i only do 8/9 assignments what will my grade be if it was 100%
    10·2 answers
  • Factor: x^2 - 4x - 21
    15·1 answer
  • 9 multiplied by 21 equals what
    10·2 answers
  • The rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rover
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!