Write in terms of i Simplify your answer as much as possible. square root of -48

Find the approximate area of a triangle that has vertices at A(-4,2),B(6,4)C(3,-1)

MrMuchimi

$area \: of \: triangle \: = \frac{1}{2} |( - 16) - (22)|$
$= \frac{1}{2} | - 44|$
$= | - 22|$
$area \: of \: triangle \: = 22$

6 0

2 years ago

Xavier ran four miles on his first day of training. The next day he ran eight ninths that distance. How far did he run on the se

serg [7]

Well, it's the product of 8/9 and the 4 miles. The result is 32/9 miles, that is, 3,55 miles.

7 0

3 years ago

A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability

cupoosta [38]

Answer:

$\frac{8}{27}$ is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a $\frac{1}{9}$ probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a $\frac{6}{12}$ probability attached to it. $\frac{1}{9}$ × $\frac{6}{12}$ = $\frac{1}{18}$ probability of happening.

Green: There is a $\frac{5}{9}$ probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be $\frac{4}{12}$ . $\frac{5}{9}$ × $\frac{4}{12}$ = $\frac{5}{27}$ .

Blue: There is a $\frac{3}{9}$ probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is $\frac{2}{12}$ on its own, and them both being blue is $\frac{3}{9}$ × $\frac{2}{12}$ = $\frac{1}{18}$

Adding $\frac{1}{18}$ + $\frac{1}{18}$ + $\frac{5}{27}$ we get the answer $\frac{8}{27}$ .

4 0

3 years ago

Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)

Murrr4er [49]

Answer:

(4 , -3)

Step-by-step explanation:

the points (3 , 5) and (3 , 7) have the same x-coordinates 3

then ,the line D joining them has the equation

D : x = 3

the image of the point A(2 , -3) under reflecting about The line D ,

lie on the line ∆ perpendicular to D and passes through A.

∆ perpendicular to D then the equation of ∆ is :

∆ : y = a ,where a is a real number.

Calculating ‘a’ :

∆ passes through A

Then

-3 = a

Therefore

the final equation of ∆ is :

∆ : y = -3

Obviously, the lines D and ∆ intersect at the point M(3 , -3)

FINAL STEP :

Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)

M is the midpoint of the line segment AB :

Then

3 = (2 + x)/2 and -3 = (-3 + y)/2

Then

x = 4 and y = -3.

4 0

2 years ago

0.98x0.23 what is 0.98 times 0.23?

fomenos

Answer:

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Step-by-step explanation:

3 0

2 years ago