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2 years ago

In the given figure, find the values of x and y.

Mathematics

1 answer:

Nana76 [90]2 years ago

6 0

Answer:

Hope it will help you a lot.

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Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago

What is the commutative and associative propertys?

timama [110]

Answer:

Commutative property: states that the order in which we multiply numbers does not change the product.

Associative property: states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).

5 0

3 years ago

Solve each quadratic equation. (2x-1)(x+7)=1

Galina-37 [17]

So you foil out the problem and get

3 0

3 years ago

Solve each system of linear equations by substitution.

Naddik [55]

$3x-2(2x-7)=9 \\ 3x-4x+14=9 \\ -x+14=9 \\ -14\ \ \ \ -14 \\ -x=-5 \\ /-1/-1 \\ \ \ x=5$

3 0

2 years ago

Read 2 more answers

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubi

zlopas [31]

Answer: $6.185in^3$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V_{cylinder}=\pi r^2h$

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

$r=\frac{d}{2}$ (Where d is the diameter)

$r=\frac{3in}{2}=1.5in$

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

$V_{can}=\pi (1.5)^2(1.75in)=12.37in^3$

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

$V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3$

5 0

3 years ago

Read 2 more answers

In the given figure, find the values of x and y.​

In the given figure, find the values of x and y.