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3 years ago

The parallelogram below will undergo a single transformation.

Mathematics

2 answers:

german3 years ago

6 0

The last 2 options are correct

vladimir1956 [14]3 years ago

5 0

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

The vertices of the parallelogram are P(-8,6), Q(-2,6), R(0,-3) and S(-6,3).

If a figure reflected about x = -4, then

$(x,y)\rightarrow (-x-8,y)$

Therefore the image is not identical to the original parallelogram.

If a figure reflected about y = 4.5, then

$(x,y)\rightarrow (x,-y+9)$

Therefore the image is not identical to the original parallelogram.

If a figure rotated through an angle of 360° about the origin, then

$(x,y)\rightarrow (x,y)$

Therefore the image is identical to the original parallelogram.

If a figure rotated through an angle of 360° about the vertex R, then

$(x,y)\rightarrow (x,y)$

Therefore the image is identical to the original parallelogram.

Thus the correct options are 3 and 4.

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Joseph has started completing the square on the equation 3x^2-7x+12=0. He has worked to the point where he has the expression x^

Dima020 [189]

Starting with 3x^2-7x+12=0, we divide all four terms by 3, resulting in the following factored form:

3(x^2-[7/3]x+4)=0.

Since 3 cannot equal 0, we can focus on the following:

x^2 - 7/4 x =-4

This completes the assignment (describe Joe's steps up to this point).

If you wish to go further:

Next, take HALF of the coefficient of x and square your result:

(-7/[4][2])^2 = 49/64

Add this to both sides of x^2 - 7/4 x =-4: x^2 - 7/4x + 49/64 =-4+49/64

Rewrite the left side as (x-7/8)^2 and the right side as 49/64 - 256/64

Simplify the right side by combining these terms: -207/64

Then x-7/8 = plus or minus (1/8)sqrt(-207)

Next, x = 7/8 plus or minus (1/8)*i*√207, or

7 plus or minus i*√207
x = ----------------------------------
8

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3 years ago

Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent readin

oksian1 [2.3K]

Answer:

Here's the answer I got for this problem! Hope it helps! :)

Step-by-step explanation:

x = 77.789

y = 23

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3 years ago

Write the standard form of the equation. through (2-4) slope=-1

svetoff [14.1K]

(Y+4)=-1m (X-2)
Hopes this helps

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3 years ago

In each of the following expressions, c represents the original cost of an item

Morgarella [4.7K]

Answer:

i . 0.10c

Step-by-step explanation:

Just plug a random number, idk what number you'd choose. But my lucky number is 10 so 0.10 x 10 = 1 which is 10% of the original cost XD

yea..hope this helps! :D

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3 years ago

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

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

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

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

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3 years ago