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MArishka [77]
2 years ago
10

2.) FIND EF.

Mathematics
1 answer:
Naddika [18.5K]2 years ago
8 0

The measure of EF from the given diagram is 6 units

<h3>Secant secant theorem</h3>

The theorem states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external parts is the same as the product of the other external part.

Mathematically according to the given figure;

4(4+2x) = 5(5+x)

Expand

16 + 8x = 25 + 5x

Collect the like terms

8x - 5x = 25 - 16

3x = 9

Divide both sides by 3

3x/3=. 9/3

x = 3

Find EF

EF = 2x

EF = 2(3) = 6

Hence the measure of EF from the given diagram is 6 units

Learn more on secant theorem here: brainly.com/question/10732273

#SPJ1

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Find the discriminant of the following quadratic equation<br> x^-5x+3=0
nika2105 [10]

The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.

<h3>What is the discriminant of the quadratic equation as given in the task content?</h3>

According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.

By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.

We can consequently evaluate the determinant of the quadratic equation in discuss as follows;

Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12

Hence, the determinant in this case is; 13.

Read more on determinant;

brainly.com/question/24254106

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Step-by-step explanation:

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A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.
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Answer:

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