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
mojhsa [17]
3 years ago
10

Points H and F lie on circle c What is the length of line segment GH?

Mathematics
2 answers:
stiv31 [10]3 years ago
7 0

Answer:

The answer to this question is 6 units, just took the exam on edg 2020.

Step-by-step explanation:

Nina [5.8K]3 years ago
3 0

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

You might be interested in
HELP!
-Dominant- [34]

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

6 0
3 years ago
There are 3 apples, john takes 2, how much are there
sineoko [7]

Answer:

1 apple

Step-by-step explanation:

8 0
2 years ago
What is the simplest form of (x-2)(2x+3)
Vera_Pavlovna [14]
2x^2-4x-12

hope that helps :)

8 0
3 years ago
Read 2 more answers
Use the given information to determine the exact trigonometric value. cos theta=2/3,0&lt;∅&lt;90°,sec∅
Elena-2011 [213]

Answer:

C

Step-by-step explanation:

I think this means you want the secant between 0 and 90 degrees.

The Secant(theta) = 1/Cos(theta)

Cos(theta) = 2/3

1/cos(theta) = 1//2/3 = 3/2

Answer: C

8 0
3 years ago
Read 2 more answers
On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (
Lisa [10]

Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

<h3>What is the domain and range of a function?</h3>

A domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

The curve points are

P₁ ( -1,5 , 0 )   Q ( 0. -2 ) and P₂ ( 1,5 , 0 )

We can see that P₁  and P₂ are symmetric around the y-axis, and point Q looks like a vertex so we can conclude the curve as

ax² + bx + c = y

The curve is a parabola

when x = 0      

y = -2    

then   c  = - 2

The equations we get,

a (-1.5)²  +  b (-1.5) + c = 0      

2.25a  - 1.5b - 2 = 0

a (1.5)²   +  b ( 1.5)  + c = 0    

2.25a + 1.5b -2 = 0

Adding these two equations

4.5a - 4 = 0

a =  4/4.5

The vertex is Q ( 0 , -2 )

x = - b/2a      

0 = - b/ 9      

b  =  0

Therefore the equation of the function :

ax² + c = 0

(4/4.5) x² - 2 = 0

Therefore, Domain F(x) = All real numbers and the Range F(x)  [ -2 ,  + ∞ ]

Learn more about appropriate domain here:

brainly.com/question/20073127

#SPJ1

7 0
2 years ago
Other questions:
  • What equal 1/5^-2 what other fraction equals that
    6·2 answers
  • Sales increased by only 12% last month. If the sales from the previous month were $152,850, what were last months sales
    11·1 answer
  • Is -x^2+5x-21 linear or not?
    10·2 answers
  • Two rectangles have the same width. One is 12 units long and the other is 8 units long. The area of the first rectangle is 320 s
    10·1 answer
  • 12 - 16 ÷(-4)<br><br> A. -1<br> B. 1<br> C. 8<br> D. 16
    8·1 answer
  • Find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5
    9·1 answer
  • A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earn
    6·1 answer
  • Help me please with this
    14·1 answer
  • find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.
    9·1 answer
  • Which of the following represents a polynomial expression? Select one: A. 2x + 3log(x) + 5 B. 10x−−√ − 2 C. (x + 1)(x - 1) D. 4x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!