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2 years ago

11

Pls explain below :)

2 answers:

matrenka [14]2 years ago

5 0

Answer:

$9 units^{2}$ aka 9 units

Step-by-step explanation:

Its pretty simple so what u do is count the sqaures then multiply them and ill do it for you

H=3

B=6

and the formula for a triangle is A= $\frac{b*h}{2}$ so its 3x6/2=9

The answer is 9

____ [38]2 years ago

5 0

Answer:

The answer would be 9 units, because just by counting it and making it half.

Step-by-step explanation:

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2x^3-x^2-3x=210<br> the answer is 5 but I want to know why.

mel-nik [20]

Answer:

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

Step-by-step explanation:

1) Move all terms to one side.

$2x^{3} -x^{2} -3x-210=0$

2) Factor $2{x}^{3}-{x}^{2}-3x-210$ using Polynomial Division.

1 - Factor the following.

$2x^{3} -x^{2} -3x-210$

2 - First, find all factors of the constant term 210.

$1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210$

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

$2*1^{3} -1^{2} -3*1-210=-212$

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

$2(-1)^{3} -(-1)^{2} -3*-1-210=-210$

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

$2*2^{3} -2^{2} -3*2-210=-204$

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

$2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224$

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

$2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174$

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

$2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264$

Substitute 5 into x. Since the result is 0, x-5 is a factor..

$2\times {5}^{3}-{5}^{2}-3\times 5-210 =0$

------------------------------------------------------------------------------------------

⇒ $x-5$

4) Polynomial Division: Divide $2{x}^{3}-{x}^{2}-3x-210$ by $x-5$ .

$2x^{2}$ $9x$ $42$

-------------------------------------------------------------------------

$x-5$ | $2x^{3}$ $-x^{2}$ $-3x$ $-210$

$2x^{3}$ $-10x^{2}$

-----------------------------------------------------------------------

$9x^{2}$ $-3x$ $-210$

--------------------------------------------------------------------------

$42x$ $-210$

$42x$ $-210$

-------------------------------------------------------------------------

5) Rewrite the expression using the above.

$2x^2+9x+42$

$(2x^2+9x+42)(x-5)=0$

3) Solve for $x.$

$x=5$

4) Use the Quadratic Formula.

1 - In general, given $a{x}^{2}+bx+c=0$ , there exists two solutions where:

$x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}$

2 - In this case, $a=2,b=9$ and $c = 42.$

$x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}$

3 - Simplify.

$x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

5) Collect all solutions from the previous steps.

$x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}$

4 0

2 years ago

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A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpire

const2013 [10]

Answer:

The answer is "1.30".

Step-by-step explanation:

Proportion of population $=0.20$

Ratio sample $=\frac{70}{300}=\frac{7}{30}=0.23$

Statistics of the test:

$\to Z=\frac{(0.23-0.2)}{\sqrt{(\frac{0.2\times(1-0.2)}{300})}}\\\\$

$=1.30$

6 0

2 years ago

What is a ratio equivalent to 3:2? (not 6:1)

Akimi4 [234]

Answer:

9:6, 12:8, and 15:10 are all ratios equivalent to 3:2

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).

4 0

3 years ago

I need the set up and I'm solving for x, please help.

lawyer [7]

I think it is X equals 20 because there’s 180 degrees I a triangle and 100+40= 140 and you have e 40 remaining and since it’s 2x you do 40 divided by 2 which is 20 do the inverse to check

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2 years ago

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A roller coaster car goes above and below ground.Use the number line to show it changes in height.What is the height of the car

Ksju [112]

The height of the car at the end of the ride is 4 meters

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3 years ago

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