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3 years ago

Point (2, 4) is reflected across the x-axis. What are the coordinates of its image?

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

Let us revise the rules of reflection across the axes

If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)

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A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the south

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Part A

Givens

b1 = 265

b2 = 180

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Formula

Area = (b1 + b2)*h / 2

Solution

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Area = 445 * 90 / 2

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x = 20025 / 10000

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Part C

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3 years ago

What is the value of y?

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3 years ago

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How do you solve it?

MatroZZZ [7]

Answer:

i: x=-2, x=1

ii: x=-1/2

Step-by-step explanation:

Quadratic form:

You solve i by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

"first" would be $x*x$ , which would equal $x^{2}$

"outside" would be $x*-1$ , which would equal $-1x, or -x$

"inside" would be $2*x$ , which would equal $2x$

"last" would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

You need to get the variable by itself.

Subtract two from both sides

$x+2=0\\x=-2$

Add one to both sides.

$x-1=0\\x=1$

ii Solution

Add all the terms.

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

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