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
SCORPION-xisa [38]
4 years ago
13

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

Mathematics
1 answer:
lana66690 [7]4 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

Start by solving for (y+x)^2 which is a common expression for both equations. Then in the first equation:

3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}

and in the second equation:

4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x

Now we make the two (y+x)^2 expressions equal so we get:

\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7

You might be interested in
What is a perfect square? Why is <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%208x%20%2B16" id="TexFormula1" title="x^{2}
ivanzaharov [21]

Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

3 0
3 years ago
Evaluate the expression for x = 23. x − 6 =
STALIN [3.7K]
If X = 23, the. 23 - 6 = 17.
6 0
3 years ago
\Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
vazorg [7]

Answer:

If it goes down half of the past one it would be 1/8.

I could be wrong but i need one more number to be 100%

Step-by-step explanation:


3 0
3 years ago
A local little league has a total of 40 ​players, of whom 35​% are left​-handed . How many left​-handed players are​ there?
Alex17521 [72]

Answer:

14 people are left handed.

Step-by-step explanation:

Multiply 40 by 35% and you would get 14.

hope this helps!

ᴍɪʟʟʏ~

5 0
3 years ago
Read 2 more answers
If b =5 then 4^1 × 4^b is equal to:<br> 4,096<br> 1,024<br> 24<br> 80
pishuonlain [190]

Answer:

\boxed{4,096}

Step-by-step explanation:

If  \: b =5 \:  \\  then \\  4^1 × 4^b  \: is  \: equal  \: to: \\ 4^1 × 4^5 =4^6 = 4,096

6 0
3 years ago
Other questions:
  • I will give u brainliest
    8·2 answers
  • How many ways can a cook arrange 9 of her 12 spice jars on a spice rack?
    11·2 answers
  • The variable z is directly proportional to x. When x is 15, z has the value 165. What is the value of z when x = 25?
    9·2 answers
  • Can someone help me with this problem
    15·1 answer
  • A spinner numbered 1 to 6 is spun twice . what is the probability of getting a 3 on the first spin and an odd number on the seco
    13·1 answer
  • What's the answer for this?
    7·2 answers
  • I WILL MARK YOU THE BRAINLIEST!!!!!!!!! AND GIVE LOT'S OF POINTS On a road trip, a family drives 350 miles per day. How many day
    6·1 answer
  • 13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
    13·1 answer
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
    7·2 answers
  • Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!