Which property justifies the following statement<br> If 13x=104,then x=8

Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.

bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0

3 years ago

Helpppppppp plz I'm not rlly good at area

Nitella [24]

For number 8, the area will be 350 square yard because the total area of the rectangle is 20 times 18 will equal 360 square yards, and I know that the area of the cutting rectangle is 5 times 2 equals 10 square yard, so the rest of the rectangle will be 360-10 or 350 square yards. For number 9, the area will be 28 square meters because the area of the whole rectangle is 40 square meters, and I found the area of the rectangle that already cut which equal 4 times 3 equal 12 square meters, so the area of the rectangle that does not cut will be 40-12 or 28 square meters. For number 10, the answer will be 92 square feet because the area of the complete rectangle wipp be 14 times 10 equal 140 square feet, and the area of the rectangle that already cut is 8 timed 6 equal 48 square feet, so the area that had left will equal 140-48 or 92 square feet. Hope it help!

6 0

3 years ago

Is 13 a perfect square

ladessa [460]

$1^2=1 \\ 2^2=4 \\ 3^2=9 \\ 4^2=16 \\ 5^2=25 \\ 6^2=36 \\ 7^2=49 \\ 8^2=64 \\ 9^2=81 \\ 10^2=100 \\ 11^2=121 \\ 12^2=144 \\ \boxed{13^2=169} \\ 14^2=196 \\ 15^2=225 \\$

8 0

3 years ago

Which pipe configuration can deliver more water to

Stels [109]

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Step-by-step explanation:

The area of a circle can be calculate with this formula:

$A=\pi r^2$

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

$r=8cm$

Then, substituting the radius into the formula, we get:

$A=\pi (8cm)^2\\\\A=201.06cm^2$

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

$A=2\pi r^2$

In this case:

$r=4cm$

Then, substituting into the formula, we get:

$A=2\pi (4cm)^2\\\\A=100.53cm^2$

Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:

One 8-cm pipe

4 0

3 years ago

Which equations have no real solution but have two complex solutions?

konstantin123 [22]

Answer:

B² - 4AC < 0

Step-by-step explanation:

Check for:

B² - 4AC

The equations for which

B² - 4AC < 0

have complex roots

For A, B and C, use this form of the quadratic:

Ax² + Bx + C = 0

5 0

3 years ago

Which property justifies the following statement If 13x=104,then x=8