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3 years ago

Secant DB intersects secant DZ at point D. Find the length of DY

Mathematics

1 answer:

netineya [11]3 years ago

5 0

By the Intersecting Secants Theorem we have
2x(2x+7)=x(x+23)
4x^2+14x=x^2+23x
3x^2=9x
3x=9
x=3
Since DY is length 2x,
the length of DY is 6.

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jeka57 [31]

Answer:

2.73 8.75

Step-by-step explanation:

n = 1

1 (DOUBLE) = 1+1 = 2

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3.5 x 2 1/2 = 8.75

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4 years ago

The measure of c is ___

jonny [76]

Answer:

3 $\sqrt{13}$

Step-by-step explanation:

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Find a cubic function with the given zeros. Square root of seven. , - Square root of seven. , -4

yan [13]

Answer:

$y= x^{3} +4x^{2}-7x-28$

Step-by-step explanation:

We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.

Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)

Hence, the equation will be y = (x - √7) (x + √7) (x + 4)

⇒ $y = (x^{2} -7)(x +4)$

⇒ $y= x^{3} +4x^{2}-7x-28$ (Answer)

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3 years ago

What is the approximate value of b, rounded to the nearest tenth?

ozzi

we know that

m∠ZWY=m∠WXY --------> given problem

In the right triangle ZWY

$tan\ ZWY=\frac{ZY}{YW}=\frac{5}{6}$

In the right triangle XWY

$tan\ WXY=\frac{WY}{XY}=\frac{6}{a}$

$\frac{6}{a} =\frac{5}{6} \\ \\5*a=6*6 \\ \\a=\frac{36}{5}=7.2\ units$

Find the value of b

Applying the Pythagorean Theorem

In the right triangle XWY

$b^{2}=6^{2}+a^{2} \\b^{2}=6^{2}+7.2^{2}\\b^{2}=87.84\\ b= 9.4\ units$

therefore

the answer is the option

D) 9.4 units

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3 years ago

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