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Ivan
3 years ago
13

Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, a

nd translated 5 units left and 3 units up.
How is this sequence of transformations written in coordinate notation to correctly map triangle LMN to its image, triangle L'M'N' ?

A. ( x , y )→(2 x + 3, 2 y - 5)

B. ( x , y )→(2 x - 5, 2 y + 3)

C. ( x , y )→(2 x + 5, 2 y + 3)

D. ( x , y )→(2 x + 3, 2 y + 5)
Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Answer:

B. ( x , y )→(2 x - 5, 2 y + 3)

Step-by-step explanation:

when x goes to the left it is negative and when y goes up it is positive, making B the only possible answer choice.

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Describe the resulting effects on the parallel bases of a trapezoid after reflecting it across
Margarita [4]

Answer:

D. The parallel bases remains parallel

Step-by-step explanation:

Reflection is an example of solid transformation in which an object is turned about a line or point to produce its image. Though the initial orientation of the given object changes, but its shape and size is preserved.

A trapezoid is a quadrilateral. If it undergo reflection across the x-axis, then y-axis; its parallel bases would remain parallel. Though the initial orientation of the trapezoid would have changed.

5 0
3 years ago
Can someone pls answer :/
Monica [59]
Sorry I don’t know this question but do not open the link above!
4 0
3 years ago
What is the equation of the line with slope of - 1/3 and passes through the point (6, -3)?
AURORKA [14]

-1 - ⅓x = y is the answer because of this:

Point-Slope Formula FIRST [GIVEN BOTH SLOPE AND A POINT]: y + 3 = -⅓(x - 6) ["+" was inserted because of (-(-3)) = 3]

Distributive Property: y + 3 = ⅓x + 2

Final Result [deduct 3 from both sides of the equation]: -1 - ⅓x = y (OR y = ⅓x - 1)

You get it?

4 0
3 years ago
Find the surface area of the square pyramid below.
sleet_krkn [62]

Answer:

\displaystyle 762,96\:m.^2 ≈ S.A.

Step-by-step explanation:

\displaystyle a^2 + 2a\sqrt{\frac{a^2}{4} + h^2} = S.A. \\ \\  14^2 + 2[14]\sqrt{\frac{14^2}{4} + 19^2} = S.A. \\ \\ 196 + 28\sqrt{\frac{196}{4} + 361} ≈ 762,9567885 ≈ 762,96

I am joyous to assist you anytime.

7 0
3 years ago
Read 2 more answers
A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.
Cerrena [4.2K]

Answer:

96 feet

Step-by-step explanation:

Given : A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

To Find: How much fencing will he need? Round to the nearest foot.

Solution:

Formula of diagonal of square = \sqrt{2}a

Where a is the side of the square.

Since we are given the diagonal length of square garden = 34 ft.

So,  34=\sqrt{2}a

\frac{34}{\sqrt{2}}=a

24.04=a

Thus the side of the square garden is 24.04 ft.

Now we are supposed to find how much fencing is required

So, we are supposed to find the perimeter of square.

Perimeter of square = 4 \times side

                                  = 4 \times 24.04

                                  = 96.16

Thus he need 96.16 ≈ 96 feet fencing .

4 0
4 years ago
Read 2 more answers
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