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geniusboy [140]
2 years ago
9

Use the graph that shows the solution to f(x)=g(x).

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

The solution to the system of equations is given as follows:

x = 1 and x = 3.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the two equations are:

\frac{1}{x - 2} = x - 2

Applying cross multiplication:

(x - 2)(x - 2) = 1

x² - 4x + 4 = 1

x² - 4x + 3 = 0

(x - 1)(x - 3) = 0

Hence the solutions are:

  • x - 1 = 0 -> x = 1.
  • x - 3 = 0 -> x = 3.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?
Molodets [167]
<span>The value of cot is √13/6</span>
6 0
3 years ago
Find the area and the circumference of the circle with the radius 6yd.
fgiga [73]

Answer:

<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

<em>r</em><em> - radius</em>

<em />

We have <em>r = 6yd</em>.

Substitute:

A=\pi(6^2)=36\pi\ yd^2

C=2\pi(6)=12\pi\ yd

If you want round the answers, then use <em>π ≈ 3.14</em>

A\approx(36)(3.14)=113.04\ yd^2

C\approx(12)(3.14)=37.68\ yd

3 0
3 years ago
What is 3.06 rounded to the nearest whole number
Gnom [1K]
3.06 rounded to the nearest whole number is 3.
.06 is much closer to 0 than it is to 1, so round down.
3.06 rounded down is 3, so that is your answer.
4 0
3 years ago
Z - 1,092.8 = 1,200<br><br>A. z = 2,292.8<br><br>B. z= 2,193.8<br><br>C. z= 2,291.2
OleMash [197]

Answer:

A. z = 2292.8 is your answer

Step-by-step explanation:

Isolate the variable (z). Note the equal sign, what you do to one side, you do to the other. Add 1092.8 to both sides

z - 1092.8 (+1092.8) = 1200 (+1092.8)

z = 1200 + 1092.8

z = 2292.8

A. z = 2292.8 is your answer

~

3 0
3 years ago
Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet
ser-zykov [4K]
One necklace and bracelet set is equal to 6 1/9 inches + 3 1/3 inches. That makes the total amount of wire in one set to be 9 4/9 inches. If you divide 28 1/3 by 9 4/9, you get 3.
85/3 * 9/85 = 255/85 = 51/17 = 3

FINAL ANSWER: 3 jewelry sets
7 0
3 years ago
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