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Anuta_ua [19.1K]
3 years ago
6

Writethecoordinatesoftheverticesafteradilationwithascalefactorof 1 5 ,centeredattheorigin. y x -10 10 -10 10 0 S T U S(5, -10) →

S′( , ) T(10, -10) → T′( , ) U(5, 10) → U′( , )
Mathematics
2 answers:
densk [106]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.

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

Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:

S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)

riadik2000 [5.3K]3 years ago
4 0

Answer:

j

j

Step-by-step explanation:

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The coordinates of a rectangle, LMNO, are L(- 1,3), M(2,3), N(2, - 5), and 0(- 1,- 5).
ryzh [129]

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

length = 8; width = 3

perimeter = 2(L + W) = 2(8 + 3) = 22

area = LW = 8 × 3 = 24

8 0
3 years ago
Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of
g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

8 0
3 years ago
( Will hand out brainiest) A California condor left its cliff-side nest and soared downwards at a rate of 16 meters per second.
svet-max [94.6K]

First calculate the distance covered going down:

d_down = (16 m / s) * 8 s = 128 m

 

Then the distance going up is:

d_up = 71 m

 

So the distance from the ledge to the nest is:

d = 128 m – 71 m = 57 m

 

Therefore the elevation is:

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4 0
3 years ago
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Oksi-84 [34.3K]

Answer:

9\sqrt{3} cm^2

Step-by-step explanation:

area of an equilateral triangle = \frac{s^{2} \sqrt{3} }{4} (s = length of the side)

area = \frac{6^{2}\sqrt{3}  }{4}

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3 years ago
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3
RSB [31]

Answer:

\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

   \Large \boxed{k(x+3)(x+1)(x-2)}

We know that the point (1,10) is on the graph of this function, so we can say.

k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}

Then the solution is:

\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
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