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Bess [88]
2 years ago
9

Charlotte is solving the following equation for X (x+3)^2-10=2 her first steps are given below (x+3)^2=12 x+3= + square root 12

Mathematics
1 answer:
Katarina [22]2 years ago
7 0

The values of the x in the given equation are x = 6.46 and x = -0.46

<h3>Solving an equation </h3>

From the question, we are to solve the equation for x

The given equation is

(x+3)² -10 = 2

First, add 10 to both sides of the equation

(x+3)² -10 +10 = 2 +10

(x+3)²  = 12

Now, take the square root of both sides to get

x + 3 = ±√12

∴ x = 3 ± √12

x = 3+√12 OR 3-√12

x = 3 + 3.46 OR 3 - 3.46

x = 6.46 OR -0.46

Hence, the values of the x in the given equation are x = 6.46 and x = -0.46

Learn more on Solving an equation here: brainly.com/question/24334139

#SPJ1

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Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.
Sauron [17]

Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

2x=8+y

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

x+2y=14

To find the value of y, let us solve the two equations using substitution method.

From the equation 2x=8+y , let us find the value of x.

x=\frac{8+y}{2}

x=\frac{8}{2} +\frac{y}{2}

x=4+\frac{y}{2}

Now, substituting x=4+\frac{y}{2} in the equation x+2y=14 , we get,

4+\frac{y}{2}+2y=14

      4+\frac{5y}{2} =14

            $\frac{5 y}{2}=10$

            5y=20

              $y=4$

Thus, the value of y is $y=4$

8 0
3 years ago
Pleaseee Help. Don't answer if you aren't going to take it serious.
Nadya [2.5K]
<span>Stem-and-leaf plots are used for showing the frequency of which certain classes of values occur. use a stem-and-leaf plot and let the numbers themselves to show pretty much the same information. In short, they are meant to show frequencies of which numbers or values occur. Not for colors or objects.

Yes, a frequency table is a perfect way to solve the problem! These are meant to help you find the number of something that occurs, and is a simple and clean way to show your word.</span>
6 0
4 years ago
Evaluate :
oee [108]
The first one is 43/72 which can’t be simplified

The second one is 17/18
6 0
3 years ago
What is EG? Round to the nearest tenth if necessary.
slava [35]

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

7 0
3 years ago
Solve the following system of equations and show all work.<br> y = 2x^2 +9x<br> y = 4x + 25
Genrish500 [490]

Answer:

x = 5/2 thì y = 35 và x = -5 thì y = 5

Step-by-step explanation:

thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:

4x + 25 = 2x ^ 2 + 9x

⇒2x ^ 2 + 5x - 25 = 0

⇒ x = 5/2 và x = -5

thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35

thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5

7 0
3 years ago
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