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3 years ago

What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Answer:

The image of (1,-6) is (-6,-1)

C is correct

Step-by-step explanation:

Given: (1,-6) rotate 270° counterclockwise rotation about the origin.

For 270° counterclockwise rotation about the origin.

$(x,y)\overset{270^\circ}{\rightarrow}(y,-x)$

$(1,-6)\overset{270^\circ}{\rightarrow}(-6,-1)$

(1,-6) lie in IV quadrant.

After 270° counterclockwise rotation about the origin

Point image form in III quadrant.

Hence, The image of (1,-6) is (-6,-1)

gulaghasi [49]3 years ago

7 0

I think (-1,-6)
hope this help

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Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came o

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53.70-9.60=44.10
44.10/2=$22.05
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3 years ago

Determine the following:

dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

$P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997$

(b) for n = 10 and π = 0.40, what is P(X = 9)?

$P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016$

(c) for n = 10 and π = 0.50, what is P(X = 8)?

$P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047$

(d) for n = 6 and π = 0.83, what is P(X = 5)?

$P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018$

3 0

3 years ago

Guys help me with a) and b) tasks<br>ANSWER:<br>a) 40<br>b) 25<br>Thanks<3

umka21 [38]

Step-by-step explanation:

there are 2 similar triangles : ABE and DCE

that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.

and that means that

DE/AE = EC/BE (= DC/AB)

we know that

AE = AD + DE

BE = BC + EC

so, we have actually

DE/(AD+DE) = EC/(BC+EC)

DE/(10+DE) = 8/(2+8) = 8/10 = 4/5

DE = 4(10+DE)/5

5DE = 4(10+DE) = 40 + 4DE

DE = 40 cm

AD/DE = 3/5

BC/EC must be 3/5 too.

15/EC = 3/5

15 = 3EC/5

75 = 3EC

EC = 25 cm

8 0

2 years ago

Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati

Helen [10]

Step 1.

Calculate measure of angle α:

$47^o-38^o=9^o$

Step 2.

Calculate what fraction of the angle 360° is the angle α:

$\dfrac{9^o}{360^o}=\dfrac{1}{40}$

Step 3.

Calculate the circumference of the Earth (circle):

$C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi$

Step 4.

The length of arc is equal 1/40 of the circumference:

$\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi$

$\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi$

<h3>Answer: A) 628 miles</h3>

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4 years ago

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Misha Larkins [42]

Answer:

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Step-by-step explanation:

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3 years ago