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3 years ago

Which of the segments below is a secant?

Mathematics

2 answers:

mel-nik [20]3 years ago

5 0

Answer:

d. $\overline{BC}$

Step-by-step explanation :

We are given that a circle of center O.

We have to find the segment that is secant.

Secant : If a line which intersect the circle at two points.Then the line segment is called secant.

a. $\overline{OA}$

It is false because segment OA intersect the circle at one point A only.

b. $\overline{CD}$

It is false because segment CD intersect the circle at point D only.

c. $\overline{BC}$

It is true because it intersect the circle at two points .

d. $\overline{AB}$

It is false because it intersect the circle at one point A only.

Answer:c. $\overline{BC}$

Rainbow [258]3 years ago

3 0

Answer:

Step-by-step explanation:

A secant is a line which intersects the circle at 2 points

In the given diagram this is BC

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MArishka [77]

Maybe Can You Be Spefic

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3 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

1 year ago

Find the range of 10 12 13 15 16.5

alex41 [277]

Answer:

15.5

Step-by-step explanation:

16.5-10

=15.5

So 15.5 is the range

6 0

3 years ago

Solve the system of equations. 8x – 3y = 1 –2x + 3y = 11 A. (–1, –3) B. (–1, 3) C. (2, 5) D. (5, 2)

Makovka662 [10]

Answer:

C. (2, 5)

Step-by-step explanation:

Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:

(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x

9y = 45 . . . simplified; next we divide by 9

y = 5 . . . . . matches choice C

_____

Check

8(2) -3(5) = 16 -15 = 1

-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations

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3 years ago

13/20 as a percent and 7/25 as a percent to no need to show work just need the straight up percent

Ivahew [28]

13/20 = 65%
7/25 = 28%

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3 years ago