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3 years ago

Triangle RST is diated to form triangle R'S'T with the scale factor of 3.5. If RT=8 what is the length of R'T

Mathematics

1 answer:

shepuryov [24]3 years ago

3 0

Answer:

R'T = 28

Step-by-step explanation:

Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.

In the given question, the length of RT was increased by the scale factor, so that;

R'T = RT x scale factor

= 8 x 3.5

= 28

R'T = 28

Therefore, the length of R'T is equal to 28.

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

NS SECTION ONE<br>In the number 416.98, which digit has the greatest value

Aneli [31]

the 4 because it's in the hundred place value

I THINK THAT"S HOW YOU DO IT, BUT YOU KNOW JUST TRYING TO HELP YOU :)

5 0

3 years ago

What's the slope of the points (2,2) and (-2, -4)?

tigry1 [53]

Answer:

M = [0; -1]

Step-by-step explanation:

Midpoint of the segment AB: M = [0; -1]

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3 years ago

If × = 6 what is 5×-(3+9)

olga nikolaevna [1]

<span> 5×-(3+9)
Substitute 6 for x
5(6)-(3+9)
Add 9 to 3
5(6)-12
Multiply 5 by 6
30-12
Final Answer: 18</span>

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3 years ago

Read 2 more answers

I’ll mark u brain if u help me

ZanzabumX [31]

Answer:

x-1=y or y+1=x

Step-by-step explanation:

I think thats right,

5 0

3 years ago