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katovenus [111]
3 years ago
10

In the circle below, CD is a diameter. If AE=10, CE=4, and AB=16, what is

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

(D)9.5 Units

Step-by-step explanation:

We have two chords CD and AB intersecting at E.

Using the theorem of intersecting chords

AE X EB =CE X ED

  • AE=10
  • CE=4
  • AB=16

AB=AE+EB

16=10+EB

EB=16-10=6

Therefore:

AE X EB =CE X ED

10 X 6 = 4 X ED

ED =60/4 =15

Therefore:

CD=CE+ED

=4+15

CD=19

Recall that CD is a diameter of the circle and;

Radius =Diameter/2

Therefore, radius of the circle =19/2 =9.5 Units

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Find the slope of the line y = 5x + 4.
avanturin [10]

Answer:

x=1/5y+−4/5

Step-by-step explanation:

Let's solve for x.

y=5x+4

Step 1: Flip the equation.

5x+4=y

Step 2: Add -4 to both sides.

5x+4+−4=y+−4/5x=y−4

Step 3: Divide both sides by 5.

5x/5=y−4/5x=1'5y+−4'5

Answer:

x=1/5y+−4/5

( I hope this was helpful) >;D

6 0
2 years ago
AREA OF CIRCLES HELP PLS​
Lera25 [3.4K]

Answer:

432 ft²

Step-by-step explanation:

First lets find radius (r);

r = d/2

r = 24/2

r = 12

Now let's find the area;

A = π(12)²

A = 3(144)

A = 432 ft²

Hope this helps!

6 0
3 years ago
NEED HELP WITH THESE
faltersainse [42]

Step-by-step explanation:

1 .f(x)=x^{2}-x+1

   f(-1)= (-1)-(-1)+1

   f(-1)= 1+1+1

      = 3

3.f(x)=x^{2}-x+1

 f( 1)=(1)-1+1

  f( 1)=1-1+1

        =1

5. f(x)=x^{2}-x+1

    f(3)=(3)^{2}-3+1

         = 9-3+1

          =7

2. g(x) = 5 - 3x

 g( -8)=5-3(-8)

g( -8)=5+24

        =29

4.g(x) = 5 - 3x

g(5)=5-3(5)

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6.g(x) = 5 - 3x

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3 0
2 years ago
Use the table to write a proportion.
umka21 [38]

Answer:

it's probably ours it's just a lucky guess

Step-by-step explanation:

7 0
2 years ago
the ratio of goats to sheep at a university research farm is 4: 7. The number of sheep at the arm is 28. what is the number of g
GalinKa [24]
4+7=11 i.e. The whole.
7/11=28

1/11=4
Goats are 4/11 therefore
4 x 4= Ans
All the animals add up to 44 and if you check w/ 7/11 it is correct.
4 0
3 years ago
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