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Crazy boy [7]
3 years ago
13

A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle tha

t has vertices ​ A′(3, 4) ​, ​ B′(3, 10) ​​, and C′(7, 6) ​.
Mathematics
2 answers:
tester [92]3 years ago
8 0

Answer:

4 units to the right

Step-by-step explanation:

I took the test, good luck you guys!

kramer3 years ago
4 0

we have that

The coordinates of the pre-image and the image of the triangle are

A(-1,4)----->A'(3,4)

B(-1,10)----->B'(3,10)

C(3,6)----->C'(7,6)

so

The rule of the translation is

(x,y)-------> (x+4,y)

That means

The translation is 4 units to the right

therefore

<u>the answer is</u>

The translation is 4 units to the right


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13) Each centimeter on a map represents 3.2 meters. How many meters do 5.04 centimeters represent?
dolphi86 [110]

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Step-by-step explanation:

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3 years ago
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A quality-control center finds that 2 out of 250 toy trains are defective. How many trains would they expect to be defective in
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3 years ago
Uestion 2 (1 point)
SSSSS [86.1K]

Answer:

-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup(P(meat)\neq P(pasta)+P(soup))

Step-by-step explanation:

Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.

-Probability is defined as the number of successful event divide by the total number of events.

#find probability of each event:

P(meat)=\frac{13}{25}=0.52\\\\P(pasta)=\frac{8}{25}=0.32\\\\P(soup)=\frac{4}{25}=0.16

P(meat)\neq P(pasta)\neq P(soup)

Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.

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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Veronika [31]

The expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Given an integral \int\limits^5_b {1} \, x/(2+x^{3}) dx.

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty}∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\int\limits^5_1 {x/(2+x^{3}) } \, dx=f(x)=x/2+x^{3}

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)=[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}

\lim_{n \to \infty}∑f(a+iΔx)Δx=

\lim_{n \to \infty}∑n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n

=4\lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3}

Hence the expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0
2 years ago
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