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alex41 [277]
3 years ago
13

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
Sqrt(7^2 + (23/2)^2) = 13.5 (1 d.p.)
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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
HELPPPPPPPP 7TH GRADE
egoroff_w [7]

Answer: 1 gallon

Step-by-step explanation:

Hi there!

Using the equation (12*18)-(7*3), where 12*18 is the area of the wall, 7*3 is the area of the door not being painted, you are left with 196 square ft. of wall. further dividing 196/200 is 0.98, meaning that Mr. Smith will only need one gallon of paint for his wall.

[(12*18)-(7*3)]/200

(215-21)/200

196/200

0.98

6 0
2 years ago
Read 2 more answers
Plzzz help me math sucks <br> 84 + 45 = 3(28 + 15) No Yes
IRINA_888 [86]
Yes because 84+45 is 129 and 3(28+15) is 129
5 0
3 years ago
Read 2 more answers
You and your friend each construct triangles with the angle measures 15 degrees, 125 degrees, and 40 degrees. Will both triangle
xxTIMURxx [149]

The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.

The key word here is "similar;" be sure you understand what that means in trig.


3 0
3 years ago
PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!
S_A_V [24]

(a)ΔEAB =Δ ECD

(b)<AEB=<DEC

So, AB//CD

And <EDC=<EBA

AB=CD(given)

(c)A.A.S

(d)EA=EC

(e)rotation

7 0
3 years ago
Read 2 more answers
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