Help! Find x in the given figure. x = inches.

Mathematics

1 answer:

aleksandr82 [10.1K]4 years ago

6 0

There are a few relations related to tangents and secants that you are expected to remember. These problems make use of those.

1. When chords cut each other, the product of the segment lengths of one of them is equal to the product of the segment lengths of the other. Here, one of the chords is a diameter. That is special in that it is the bisector of any chord it crosses at right angles. That means ...
x·x = 2·6
x = √12 = 2√3

2. Secants from an external point have the same product of measures to the near and far intersection points with the circle. Since there is only one intersection point with a tangent, the near and far lengths are the same.
4·(4+8) = x·x
x = √48 = 4√3

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Find the zero of the function by rewriting the function in intercept form

Marat540 [252]

Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y

Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0

Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)

Solution 1
4x + 1 = 0
4x = -1
x = -1/4

Solution 2
x - 5 = 0
x = 5

SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5

4 0

4 years ago

Farah made 28 out of 84 shots on a goal in a recent hockey season. Write her shots made out of shots attempted as a decimal

Fudgin [204]

Answer:

0.4375

Step-by-step explanation:

Number of shots attempted by Farah = 84

Number of shots made by Farah = 28

So,

Shots made out of shots attempted will be Equal to

$\frac{28}{64}$