1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
9

△ABC is inscribed in a circle such that vertices A and B lie on a diameter of the circle. If the length of the diameter of the c

ircle is 13 and the length of chord BC is 5, find length AC.
The length AC is
Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

AC=12

Step-by-step explanation:

If vertices A and B lie on a diameter of the circle means that angle of triangle on the vertice C is 90, si this is right triangle. Now we can use Pitagora’s theorem to find AC.

AB^2=AC^2+BC^2

13^2=AC^2+5^2

169=AC^2+25

AC^2=169-25=144

AC=12

You might be interested in
Don’t understand. I’ve tried to do it and I need some help please.
Novay_Z [31]
You need to use trigonometry
1. Tan37=x/2.1
1.58=x
8 0
3 years ago
Read 2 more answers
What is x equal to when 2x+5=13
Svetllana [295]
2x+5=13\ \ \ \ \ \ \ \ |subtract\ 5\\\\2x=13-5\\\\2x=8\ \ \ \ \ \ \ \ \ \ |:2\\\\x=4\\\\Answer\ is\ 4.
3 0
3 years ago
Read 2 more answers
Choose the equation that represents the line passing through the point (2,-4) with a slope of 1/2? y=1/2x+5, y=1/2x-3, y=1/2x-5,
LUCKY_DIMON [66]
Correct answer: <span>y=1/2x-5
</span>
given: point = (2,-4)
slope = 1/2 

Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept

Now, 
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5 

Hence, equation of line is : y = 1/2x-5
3 0
3 years ago
Which of the following points below is on the line defined by the two parametric equations below?
Alekssandra [29.7K]

Answer:

  (d)  (4, -10)

Step-by-step explanation:

We are asked to identify the point that falls on a line defined by parametric equations.

<h3>Vector form equation</h3>

The parametric equation can be written in a number of forms One of these is a vector form, in which some multiple of a vector is added to a known point.

  (x(t), y(t)) = (1/2t +4, 2t -10) = (4, -10) +(1/2t, 2t)

  (x, y) = (4, -10) +(t/2)(1, 4)

Clearly, when t=0, one point on the line will be (4, -10) — the last of the offered choices.

<h3>Other forms</h3>

Another form of the equation can be had by solving the x(t) and y(t) equations for t, then equating those values.

  x = 1/2t +4   ⇒   2(x -4) = t

  y = 2t -10   ⇒   (y +10)/2 = t

Equating these gives ...

  2(x -4) = (y +10)/2 . . . . t = t

  4x -16 = y +10 . . . . . . . multiply by 2

  4x -y = 26 . . . . . . . . . add 16-y to put in standard form

Dividing by 26 gives intercept form:

  x/6.5 +y/(-26) = 1 . . . . . x-intercept: 6.5, y-intercept: -26.

This tells you the value of y will be negative for all x-values less than 6.5. All of the offered points have x-values less than that, so the only viable answer choice is (4, -10).

3 0
2 years ago
Read 2 more answers
2 Points
Airida [17]

The difference of (8x^2 + 9) - (6x^2 + 2x+2) is =2x^2-2x+7

Option B is correct.

Step-by-step explanation:

We need to find the difference of (8x^2 + 9) - (6x^2 + 2x+2)

Solving:

(8x^2 + 9) - (6x^2 + 2x+2)

Multiplying - sign with terms inside the bracket

=8x^2+9-6x^2-2x-2

Combining like terms

=8x^2-6x^2-2x+9-2

=2x^2-2x+7

So, the difference of (8x^2 + 9) - (6x^2 + 2x+2) is =2x^2-2x+7

Option B is correct.

Keywords: Difference of polynomials

Learn more about Difference of polynomials at:

  • brainly.com/question/11207748
  • brainly.com/question/1600376

#learnwithBrainly

4 0
3 years ago
Other questions:
  • Answer ASAP please !!
    15·1 answer
  • There are 52 cards in a deck. There are 4 eights and 4 nines. What is the probability that if you cut the deck, you'll get an ei
    12·1 answer
  • What dose 0.022222222 equale in a fration?
    9·1 answer
  • Sergio has decided to diversify his investments in the following way:
    6·2 answers
  • Can someone help please
    6·1 answer
  • There are 550 people at the school carnival.
    10·1 answer
  • Which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x
    9·1 answer
  • Y = (-3/2)x + 9 2x + 4y = 17 solve the system of equations<br>step by step​
    12·1 answer
  • Which statement best describes the relationship between x and y in the equation y = 3x? A. The value of y is three less than the
    12·1 answer
  • Arithmetic sequence, help with #18 plz
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!