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insens350 [35]
2 years ago
11

Y= 2x-1 is a tangent to y=x^2. Name the point of tangency,

Mathematics
1 answer:
lubasha [3.4K]2 years ago
7 0

Answer:

Point of tangency is x=1 or (1,1)

Step-by-step explanation:

You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):

x^2=2x-1

x^2-2x+1=0

(x-1)(x-1)=0

x=1

Therefore, the point of tangency is x=1 or (1,1)

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Find the area of each part of the trapezoid.
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Answer:

Area of Triangle A = 4 cm²

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Step-by-step explanation:

The formula to find the area of a triangle is: \frac{h_bb}{2}

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

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a=6 and b=4

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The formula to find the area of a trapezoid is: \frac{a+b}{2}h

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\frac{6+10}{2}4

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The area of the trapezoid is 32 cm²

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