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3 years ago

BD and AC are chords that intersect at point Y. What is the length of line segment AY? 2 units 3 units 4 units 6 units

Mathematics

2 answers:

Anna71 [15]3 years ago

5 0

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle,the products of their segments are equal.

In this problem

substitute the given values

solve for x

therefore

The length of segment AY is 4 units

poizon [28]3 years ago

4 0

Answer:

Step-by-step explanation:

Ed2020

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).

ratelena [41]

Answer:

A. (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

= -3x -5 -4x +2

= -3x -4x -5 +2

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2 years ago

An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

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2 years ago

You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has

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We have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
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h=5 in
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