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earnstyle [38]
3 years ago
12

Determine the value of y.

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

y = 46

Step-by-step explanation:

Angle Formed by Two Tangents= 1/2(difference of Intercepted Arcs)

We can find the other arc by the total arc of a circle minus the arc length 226

y = 1/2 ( 226 - ( 360 -226))

y = 1/2 ( 226 -134)

y = 1/2 (92)

y = 46

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3 years ago
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve.
koban [17]

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

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Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

Learn about the substitution here brainly.com/question/12802700

#SPJ4

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