All categories

3 years ago

Determine whether AB is tangent to the circle with center c

Mathematics

1 answer:

GenaCL600 [577]3 years ago

3 0

9514 1404 393

Answer:

yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

You might be interested in

20 POINTS) Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99

jasenka [17]

Answer:

No, because the total will be $3.62

Step-by-step explanation:

When we substitute with 3 and 2 shown below

0.35(3)+0.99(2)+0.59 we get 3.62, which is greater than 3 dollars.

Hope this helped<33

8 0

2 years ago

Read 2 more answers

Please help homework due tomorrow!!

Alona [7]

Answer:

12-157.5 13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

$\frac{5}{12} \frac{x}{14.4} \\$

the heights on top and shadows on bottom

12x=72

x=6

4 0

3 years ago

Whats the output when the input is 1234n and the output is 10 12 14 16.

Grace [21]

Answer:

y=2x+8

Step-by-step explanation:

Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.

(1,10) and (2,12)

To find the slope, we do:

$\frac{12 - 10}{2 - 1}$

Which equals to 2

So right now we can say that the equation is:

y=2x+b

In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:

10=2(1)+b

10=2+b

8=b

So now we can say that the equation is:

y=2x+8

4 0

3 years ago

PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE<br> LOOK AT LINKED IMAGE FOR QUESTION.

Pepsi [2]

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

8 0

3 years ago

Read 2 more answers

Please help mee pleaseee

nalin [4]

Answer:

The exact answer in terms of radicals is $x = 5*\sqrt[3]{25}$

The approximate answer is $x \approx 14.62009$ (accurate to 5 decimal places)

===============================================

Work Shown:

Let $y = \sqrt[5]{x^3}$

So the equation reduces to -7 = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since $y = \sqrt[5]{x^3}$ and y = 5, this means we can equate the two expressions and solve for x

$y = 5$

$\sqrt[5]{x^3} = 5$

$x^3 = 5^5$ Raise both sides to the 5th power

$x^3 = 3125$

$x = \sqrt[3]{3125}$ Apply cube root to both sides

$x = \sqrt[3]{125*25}$

$x = \sqrt[3]{125}*\sqrt[3]{25}$

$x = \sqrt[3]{5^3}*\sqrt[3]{25}$

$x = 5*\sqrt[3]{25}$

$x \approx 14.62009$

4 0

3 years ago

Read 2 more answers