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Juliette [100K]
3 years ago
11

Which is a secant of circle A?

Mathematics
1 answer:
sergey [27]3 years ago
7 0

Answer: line CD (fourth choice)

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

Let's go through the choices one by one

1) Segment AB is a radius, which is not a secant line. We can rule this out.

2) line DE is a tangent line which only touches the circle at exactly one spot. We need something that cuts the circle in 2 spots for it to be a secant line. This can also be crossed off the list.

3) segment HG is a chord, which is fairly close to a secant line, but it must extend infinitely in both directions. In other words, it needs to be a line instead of a line segment. This is crossed off the list.

4) line CD is a secant line. It is a geometric line in that it goes on forever in both directions (it's not a segment, and not a ray either). Also, this line crosses the circle at 2 points, which contrasts it from a tangent line. This is the answer we want.

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Write the point-slope form of the line that passes through (5, 5) and is PARALLEL to a line with a slope of 1/4. Include all of
lesya692 [45]
Parallel lines will have the same slope

y - y1 = m(x - 1)
slope(m) = 1/4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = 1/4(x - 5) <==== ur parallel line
==================
perpendiculr lines will have a negative reciprocal slope. To find the negative reciprocal, u flip the number and change the sign. So the negative reciprocal of 1/4 is -4....see how I flipped 1/4 and made it 4/1...then changed the sign making it -4/1 or just -4. That will be ur slope of the perpendicular line.

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <=== ur perpendicular line
4 0
3 years ago
PLEASE HELP WILL MARK U BRAINLIEST
larisa86 [58]

Answer: x=27

Step-by-step explanation:

3 0
3 years ago
Let f(x) = 2x; its inverse is f1(x) = log2x. If f(5) = 32, what is f-1(32)?
PtichkaEL [24]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Solve the inequality<br> 3 + 9x &gt;4(x+7)<br> pls help
alexandr402 [8]

Answer:

x<5

Step-by-step explanation:

the greater sign will firstly be changed to = for better solving so we obtain

3+9x=4(x+7)by opening bracket

3+9x=4x+28

9x-4x=28-3

5x=25

divide all through by 5x

we obtain

x=5

the greater sign change here

which is x<5

8 0
3 years ago
Please help with this question!! I need serious help!!
asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

The area multipled by 16:

16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2

The radius has increased fourfold, therefore:

C'=2\pi(4r)=4(2\pi r)=4C

The circumference is multipled by 4.

You can calculate the area and check the circumference:

r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2

Calculate the radius:

\pi r^2=2152.96\pi             <em>divide both sides by π</em>

r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in

Calculate the circumference of both circles:

r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in

r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in

\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C

5 0
3 years ago
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