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KonstantinChe [14]
3 years ago
5

The vertices of triangle R'S'T' are R'(1, 3), S'(6, 4), and T'(4, 2). If triangle RST was dilated about the origin with a scale

factor of 3, what are the coordinates of its vertices?
Mathematics
2 answers:
Afina-wow [57]3 years ago
6 0

Answer:

R  (1/3 ,1)

S = (2,4/3)

T= (4/3,2/3)

Step-by-step explanation:

RST  becomes R'S'T'  by multiplying by 3

To get back to RST we need to divide by 3

R =(1/3, 3/3) = (1/3 ,1)

S =(6/3,4/3) = (2,4/3)

T= (4/3,2/3)

sammy [17]3 years ago
4 0

Answer:

R(1/3, 1), S(2, 4/3), T(4/3, 2/3)

Step-by-step explanation:

Dilation by a factor of 3 about the origin multiplies each coordinate by 3. To find what was multiplied by 3 to get the given coordinates, we divide the given coordinates by 3.

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On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

4(t-15)=2.5t

4t-60-2.5t=0

1.5t=60

t=40

Put t=40 in (1).

d=2.5(40)=100

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

\text{Average speed}=\dfrac{200}{65}

\text{Average speed}\approx 3.08

Therefore, the average speed is 3.08 km/h.

3 0
3 years ago
How many people were included in the sample shown below?
masha68 [24]

Answer:

its D (18)

Step-by-step explanation:

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6 0
3 years ago
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Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
3 years ago
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Musya8 [376]

Answer:

It would be 125m^2

Step-by-step explanation:

17*10=170

170/2=85

8*10=80

80/2=40

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7 0
2 years ago
Read 2 more answers
FOCUS ON HIGHER ORDER THINKING Work Area Katie said, "Negative numbers are integers." What was Explain the Error her error?
Sav [38]

Step-by-step explanation:

Consider the provided information.

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2,...

Rational number: A number   is said to be rational, if it is in the form   of p/q. Where p and q are integer and   denominator is not equal to 0.The decimal expansion of rational numbers may terminate or become periodic.

Irrational   number: A number is irrational if it cannot   be expressed be expressed by dividing two   integers. The decimal expansion of   Irrational numbers are neither terminate nor   periodic.

Now consider the provided statement "Negative numbers are integers."

The statement is incorrect as all negative numbers are not integers they might be rational number or irrational numbers.

For example: -2.5 is a negative number but it is not an integer. The number is a rational number.

Hence, her statement is incorrect.

She can say that all negative whole numbers are integers.

6 0
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