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Yuliya22 [10]
3 years ago
7

PLEASE HELP WILL MARK AS BRAINLIEST

Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Answer:

\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}

Step-by-step explanation:

<u>Using Pythagorean Theorem first to find EC</u>

\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm

<u>Given that:</u>

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

<u>ABCD is a trapezoid / trapezium</u>

So,

Area of Trapezium = \sf \frac{AB+DC}{2} (EC)

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = \sf \frac{17+8}{2} ( 12)

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

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Answer:

The y-value is -20

Step-by-step explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

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8 0
3 years ago
Find the intervals on which the function is increasing or decreasing.
Assoli18 [71]
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.

f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
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Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:

Increasing: (negative infinite, -3), (1, infinite)
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Answer:3

Step-by-step explanation:

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Brainliest Please!
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