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3 years ago

What is the solution to the system of equations represented by the two equations?

1 answer:

4 0

To solve a system of equations, you must first set the equations to equal "y" (which has already been done in this problem), and then set them to equal each other. This can be done because both of your equations equal"y", so they both equal each other.
-2x + 7 = 1/3x
7 = 1/3x + 2x
2 1/3x = 7
x = ~3
The answer is a long decimal with the first four places 0, so I rounded...
Hope that helps:)

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Juliette [100K]

Answer:

201.06

Step-by-step explanation:

3.14 * 8^2= 201.06

(pi * radius ^ squared)

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3 years ago

Read 2 more answers

The circle with center O has a minor arc BSA with a length of

tangare [24]

Answer:

D. $\frac{27\pi}{2}$ inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of $3\pi^{2}$ inches. The central angle is 40°.

To find the circumference of circle we will use formula:

$\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}$ , where $2\pi$ = measure of 360 degrees in radians and $2\pi r$ = circumference of circle.

Let us convert measure of central angle into radians.

$40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}$

Upon substituting our given value in the formula we will get,

$\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}$

$\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}$

$\frac{1}{9}=\frac{3}{4r}$

Cross multiplying we will get,

$4r=27$

$r=\frac{27}{4}$

Hence, the radius of our circle is 27/4 inches.

Since the circumference of circle is $2\pi r$ . Upon substituting $r=\frac{27}{4}$ we will get,

$2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}$

Therefore, circumference of our given circle will be $\frac{27\pi}{2}$ inches and option D is the correct choice.

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3 years ago

Racionaliza las siguientes expresiones: a) 1-√3/5√2 b) 3-√3/3+√3

Nostrana [21]

$a) \frac{1- \sqrt{3} }{5 \sqrt{2} } = \frac{\sqrt{2}- \sqrt{6} }{10} \\\\
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3 years ago

Write a linear function f with the values f(0)=−3 and f(7)=11 A function is f(x)=

Rudik [331]

Answer:

f(x) = 2x - 3

Step-by-step explanation:

x y

0 -3

7 11

when x = 0, y = -3. When x increases by 7, y increases by 14, or when x increases by 1, y increases by 2.

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2 years ago

What are equivilant equations?how do you find them?

TEA [102]

Answer:

Equivalent equations are algebraic equations that have identical solutions or roots. you can find it by adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation as well as multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Step-by-step explanation:

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3 years ago