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
blsea [12.9K]
2 years ago
9

Solve the following question

Mathematics
1 answer:
Svetach [21]2 years ago
4 0

Answer:

x=-1

Step-by-step explanation:

First we can square both sides to remove the square roots:

(\sqrt{x+7})^{2}  +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}

Simplify:

x+7+x+2=6x+13

Now we simplify further:

2x+9=6x+13

Now we subtract 13 from both sides:

2x+9-13=6x+13-13

Simplify:

2x-4=6x

Subtract 2x from both sides:

2x-4-2x=6x-2x

Simplify:

-4=4x

Divide both sides by 4:

\frac{-4}{4} = \frac{4x}{4}

Simplify:

-1=x

x=-1

You might be interested in
Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
<span>Step  1  :</span> 1 Simplify — 5 <span>Equation at the end of step  1  :</span> 1 (— • (p + 10)) - -15 = 0 5 <span>Step  2  :</span><span>Equation at the end of step  2  :</span> (p + 10) ———————— - -15 = 0 5 <span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an eq
hammer [34]
The equation is 20x = 1200
x=1200÷20
x=60 rows
5 0
3 years ago
Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. Which rule d
saw5 [17]

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

If a point A(x, y) is translated a units left and b units up. the new point is at A'(x - a, y + b)

Given Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P’. The rule is given by:

(x, y)→(x - 4, y + 5)

The rule used to describe this transformation is (x, y)→(x - 4, y + 5)

Find out more on Transformation at: brainly.com/question/1462871

3 0
2 years ago
4x^2-21x-18=0<br> Find the discriminate
SpyIntel [72]

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

6 0
2 years ago
Read 2 more answers
A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?
irga5000 [103]

Answer:

Step-by-step explanation:

C=2πr

18=2×3.14×r

18=6.28r

r=2.88

Arc of a circle

A=®/360°πr

6=®/360°×3.14×r

®=239°

6

3 0
3 years ago
Read 2 more answers
Other questions:
  • 1)a-19=3 2) y/7=10 3)5g=100 solve please
    10·1 answer
  • How do i solve A=r/2L and isolate the L
    6·1 answer
  • HELP Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? LOL DO NO
    6·1 answer
  • 4. Joey had 26 papers on his desk. His teacher gave him some more and now he has 100. How
    9·2 answers
  • A soccer player stands in the southeast corner of a 76-meter by 57-meter field and kicks a
    7·1 answer
  • 2
    8·1 answer
  • I don’t get this problem:// I’m so confused. I need help asap!!!
    8·1 answer
  • The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of
    8·1 answer
  • Solve the equation. Then check your solution. -5.4 = -1.5h
    10·2 answers
  • 2, Ivan walks 4 miles in 80 minutes, How many miles can she walk in 345 minutes?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!