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3 years ago

Please help if x = 3 and y=-4 find x2 + y2 and x2 -y2

1 answer:

6 0

1. Plug in the 3 in all the x’s that are in the equation:

(3)2 + y2 = for x2 + y2

(3)2 - y2 = for x2 - y2

This would get you for both equations..

6 + y2 = for x2 + y2

6 - y2 = for x2 - y2

2. Now let’s plug in the value of y which is -4:

6 + (-4)2 = for x2 + y2

6 - (-4)2 = for x2 + y2

This would get you for both equations...

-2 = x2 + y2

14 = x2 - y2

Hope this helped, have an awesome day!

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

3 years ago

Rewrite 0.81 x<br> 104 in scientific notation.<br> x 10<br> HELP ME

aev [14]

0.81 x 10^4
= 8.1 x 10^3

4 0

3 years ago

Read 2 more answers

What is the probability of getting heads, tails, and heads, in that order, when flipping a coin? Are these events dependent or i

leonid [27]

The possiblities that exist:

H, H, H
H, H, T
H, T, H <----
H, T, T
T, H, H
T, H, T
T, T, H
T, T, T

The answer is 1/8. Now the problem that you gave us isn't dependent upon anything, so more specifically the answer is 1/8 independent.

Nothing has actually happened therefore no odds have been decreased or increased.

6 0

3 years ago

Students went on a picnic. They recorded a list of the number of animals

lorasvet [3.4K]

Observation that we can make is min = 10, max = 19, range = 9, Maximum frequency of a number is 12, Average = 12.9, median = 12, mode = 12 it is slightly skewed on the right.

Step-by-step explanation:

It is imperative to create a data in a tabular column before analyzing.
Once the data is created use tally marks or frequency distribution.
Frequency distribution helps the data to provide occurrence of event.
Very important to number which is a counting numbers are discrete.
Continuous of data are ones which are in decimal.
Descriptive statistics is the 1st level of Statistics.
It finds, where the data stands. Minimum, Maximum is understandable.
Range is at what level data is expanded.
Average is the one numeric of a number.
Median is the mid point of data
Mode is the repetitive number of the data.
Skewness is whether data is having extreme directions.

5 0

3 years ago