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3 years ago

I need some algebraic help so I don't fail.

Mathematics

1 answer:

My name is Ann [436]3 years ago

8 0

(x-y)^2 +4xy = (x+y)^2

FOIL

x^2 -2xy+y^2 +4xy = (x+y)^2 x^2 -2xy

Combine like terms

x^2 +2xy +y^2 = (x+y)^2 x^2 +2xy

Factor

(x+y)^2 = (x+y)^2 (x+y)^2

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Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z

love history [14]

Answer:

Length of hypotenuse $12\sqrt2$ cm.

Step-by-step explanation:

We are given with a right angled triangle which has angles 45°-45°-90° and sides as 12 cm each.

Following labeling of dimensions is provided:

$\angle XYZ = 90^\circ\\\angle YZX = 45^\circ\\\angle ZXY = 45^\circ$

Sides:

ZY = 12 cm

YX = 12 cm

Please refer to the image attached as well.

To find: The hypotenuse, XZ = ?

It is well known that if the triangle is a right angled triangle, the pythagorean theorem holds well. As per the theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}\\$

Here, Base is ZY = 12 cm

Height, YZ = 12 cm

And Hypotenuse XZ is to be calculated.

Putting the values:

$XZ^2=12^2+12^2\\\Rightarrow XZ^2=144+144\\\Rightarrow XZ=\sqrt{144+144}\\\Rightarrow XZ=\sqrt{288}\\\Rightarrow XZ=12\sqrt{2}\ cm$

So, the answer is Hypotenuse, XZ = $12\sqrt{2}\ cm$ .

5 0

3 years ago

What is 4/ 3/5? help please

irakobra [83]

0.26666666666
Self written equation

7 0

3 years ago

Passes thru (2,-1) with slope of 6

Gemiola [76]

Answer:

y = 6x - 13

Step-by-step explanation:

Desmos guess and check :)

4 0

3 years ago

Read 2 more answers

A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean

Norma-Jean [14]

One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x

ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)

3 0

4 years ago

In one weekend, 2,400 people attend a play at the theater downtown. A survey of 150 people who attended found that 85 gave the p

insens350 [35]

Step-by-step explanation: 85 is 56.67 percent of 150

56.67 percent of 2,400 is 1360 so 1360 people gave the play at least 4 stars

3 0

3 years ago