Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Answers

Answer 1

Answer: plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal

therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)

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The highlighted regions are bases. What is the lateral surface area ofthis cube?
Select one:
216 in. sq.
84 in. sq.
144 in sq
108 in sq

Answers

Answer:

Option "C" is the correct answer to the following question.

The lateral surface area of cube = 144 Ft²

Step-by-step explanation:

Given:

Side of cube = 6 Ft

Find:

The lateral surface area of cube =?

Computation:

⇒ The lateral surface area of cube = 4a²

⇒ The lateral surface area of cube = 4 × 6 × 6

⇒ The lateral surface area of cube = 144 Ft²

All sides of the cubes are equal. The lateral surface area of cube is also known as the curved surface area of the cube.

What is the quotient of -8x^6 over 4x^-3 a) x^9 over 32
b) 4x^9
c) -12 over x^2
d) -2x^9

Answers

(-8x^6) / (4x^3) can be broken down as (-8/4) * (x^6/x^-3)
you should know that -8/4 is -2
the second part is dividing variables at different powers which is kinda like subtracting powers

think of it as x ^ (6-(-3))
you get x^9
-2 * x ^9
= -2x^9

The numbers 2, 3, 4, and 5 are indicated on cards that are placed in a hat.Two cards are drawn at random, and the first card is replaced before the second card is drawn. The following table is a sample space of the possible outcomes.
Use the sample space of possible outcomes to determine the following probabilities.
1. Probability of drawing two odd numbers.
2. The sum of the two numbers drawn is less than 5.
3. The sum of the two numbers is less than 6 or greater than 8.

Answers

1. This probability is 1/2*1/2=1/4, or 0.25.
2. There are three ways to do this: draw two 2s, a three then a two, or a two then a three. So our probability is 3/16=.1875.
3. We already calculated the probability that the sum is less than 6. Using similar methods, we calculate that there are three ways for a sum to be greater than 8, so our probability is 6/16=0.375.

Answer:

1. 1/4

2. 1/16

3. 3/8

Step-by-step explanation:

1. 1/2 x 1/2, 1/4

2. (2,2) is the only way to have a sum less than 5, so 1/16

3. 3 ways to be less than 6 and 3 ways to be greater than 8, so 6/16 or 3/8

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

For independent events these formulas will be:

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

Points B, D, and F are mid points of the sides of triangle ACE. CE=38 and DF= 16. Find AC. The diagram is not drawn to scale.

Answers

I hope this helps you

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