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deff fn [24]
2 years ago
6

HELP I NEED TO FINISH THIS QUESTION TO BETTER UP MY GRADE: FIND THE POINTS WHICH WOULD CORRECTLY DILATE THE ORIGINAL BASE BY A S

CALE OF
K = 2

Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

The vertex for the points Z', O', N', and E' are shown in the figure which is dilated by factor 2.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a two-dimensional figure shown in the picture on a coordinate plane.

From the graph the coordinate point or vertex of the point Z:

Z = (1, 2)

Dilating the above point by scale factor 2

Z' = (2×1, 2×2) = (2, 4)

Similarly, for point E:

E = (3, 5)

E' = (2×3, 2×5) = (6, 10)

Similarly, for point N:

N = (4, 5)

N' = (2×4, 2×5) = (8, 10)

Similarly, for point O:

O = (6, 2)

O' = (2×6, 2×2) = (12, 4)

Thus, the vertex for the points Z', O', N', and E' are shown in the figure which is dilated by factor 2.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

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The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:
BabaBlast [244]

Since the function is h(t) = −5t² + 15t, the domain of the function h(t) is  0 ≤ t ≤ 3

<h3>What is the domain of a function?</h3>

The domain of a function is the range of input values that make the function have real values.

Now given the function h(t) = −5t² + 15t, it will have real values when

h(t) ≥ 0

So, h(t) ≥ 0

⇒  −5t² + 15t ≥ 0

Factorizing, we have

-5t(t - 3) ≥ 0

5t(t - 3) ≤ 0

t(t - 3) ≤ 0

t ≤ 0 and t - 3 ≤ 0

t ≤ 0 and t ≤ 3

For t ≤ 0, say -1, t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0

For 0 ≤ t ≤ 3, say 2, t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0

For t ≥ 3, say 4, t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0

Since we require  t(t - 3) ≤ 0, the domain of t is thus 0 ≤ t ≤ 3

So, the domain of the function h(t) is  0 ≤ t ≤ 3

Learn more about domain of a function here:

brainly.com/question/204418

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8 0
2 years ago
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is
deff fn [24]

Answer:

4

Step-by-step explanation:

40 x 4 = 160

100 + (15 x 4) = 160

15x4=60, btw

4 0
3 years ago
The area of a closet floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square feet. How
never [62]
A total of 54 tiles are needed.
6 0
4 years ago
Read 2 more answers
What value of x would make Bl parallel to RA?
igomit [66]

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

\angle ATR\cong \angle ITB              [Common angles]

\angle ART\cong \angle IBT              [Corresponding angle]

\triangle ATR\sim \triangle ITB              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

\dfrac{AT}{IT}=\dfrac{AR}{IB}

\dfrac{x}{x+8}=\dfrac{12}{18}

\dfrac{x}{x+8}=\dfrac{2}{3}

On cross multiplication, we get

3(x)=2(x+8)

3x=2x+16

3x-2x=16

x=16

Therefore, the correct option is C.

8 0
3 years ago
Which expression is equivalent to −14x+12?
Free_Kalibri [48]

Answer:

none

Step-by-step explanation:

-14[x±2]=-14x±28

14[-x±12]=-14x168

14[-x±2]=-14x±28

-14[-x±12]=-14x±168

7 0
3 years ago
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