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3 years ago

Help Meh Once Again :) (5 + 7)^2 =

Mathematics

2 answers:

Nastasia [14]3 years ago

7 0

Answer:

144

Step-by-step explanation:

Think of PEMDAS(Please(Parenthesis),Excuse(Exponents),My Dear(Multiplication and Division), Aunt Sally(addition and subtraction).

Since this has Parenthesis you would have find out what was in the Parenthesis first(Please).

5+7=12

Now you look for exponents. The exponent is 2 and that means multiply the 12 by itself (12(12).

Giving you 144.

Lubov Fominskaja [6]3 years ago

3 0

Answer:

144

Step-by-step explanation:

PEMDAS

(12)^2

144

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Prove the trigonometric identity!<br><br> Please help!! 50 Points!

Rudiy27

Answer:

Step-by-step explanation:

For simplicity I will substitue $x$ for β.

$1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1$

In the first step I used the identity

$sin(2x)=2sin(x)cos(x)$

And I factored out $(cosx-sinx)^2$

Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

$cos^2(x)+sin^2(x)=1$

That's it!

3 0

2 years ago

Find the distance between each pair of points. round your answer to the nearest tenth.

goldenfox [79]

Answer:

5.4

Step-by-step explanation:

To find the distance between each pair of points, we use the distance formula, which is:

d = $\sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }$

So we have

$x_{1} = 2\\ x_{2} = 4\\y_{1} = 8\\y_{2}=3$

When we plug in the values into the formula we get:

d = $\sqrt{(4-2)^2 + (3-8)^2}$

d = $\sqrt{4 + 25}\\ =\sqrt{29}\\ =5.4$

3 0

3 years ago

Read 2 more answers

Hilida spent 47$ and know has no money left she had blink before her purchase

Bas_tet [7]

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

8 0

3 years ago

What is the solution for -10 < x - 9?

evablogger [386]

$- 10 < x - 9$
ANSWER
$x > - 1$

7 0

3 years ago

Read 2 more answers

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago