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3 years ago

Chords AB and CD intersect inside a circle at point E. AE= 2, CE =4 , and ED =3 . Find EB.

Mathematics

1 answer:

____ [38]3 years ago

3 0

Answer:

EB = 6 units

Step-by-step explanation:

It is given that we have a circle and two cords AB and CD inside that circle.

AB and CD intersect each other at point E.

Also the values of AE, CE and ED are as follows:

AE = 2 units

CE = 4 units

ED = 3 units

To find: EB = ?

Please refer to the figure attached for a clear picture of the given dimensions.

The relation between intersecting cords is given as:

If the two cords are intersecting and they are divided in parts a, b and c,d

Then

a $\times$ b = c $\times$ d

Here,

a = AE = 2 units

c = CE = 4 units

d = ED = 3 units

b = EB = ?

Putting the values in formula:

2 $\times$ EB = 3 $\times$ 4

$\Rightarrow EB = \dfrac{12}{2}\\\Rightarroe EB = 6\ units$

So, the answer is EB = 6 units

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mr_godi [17]

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Step-by-step explanation:

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2 years ago

Write the function notation for the transformation that would change f(x) to have a vertical

koban [17]

Function is $4 - \frac{f(x)}{8}$ .

Step-by-step explanation:

We have a function notation for the transformation that would change f(x) to have a vertical compression by a factor of $\frac{1}{8}$ , reflection over the x axis, up 6 and right 2.

Step 1:

Vertical compression by a factor $\frac{1}{8}$ , this means decreasing value of function by a factor of $\frac{1}{8}$ . Function becomes $\frac{f(x)}{8}$ .

Step 2:

Reflection over x-axis means rotating f(x) by 180° over origin . Function now is $-\frac{f(x)}{8}$ .

Step 3:

Up 6 , means value of function is increased by 6 , Function now is $\frac{-f(x)}{8} + 6$ .

Step 4:

Right 2, means shifting function to 2 units on right side i,e, on x-axis.

∴Function finally becomes, $\frac{-f(x)}{8} +6 - 2$ which is $4 - \frac{f(x)}{8}$ .

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3 years ago

Please help me with the question below including the graph.

ehidna [41]

Answer:

13.50 ≤ 1.20x + 3

Step-by-step explanation:

Janie is saving for a CD, which costs $13.50. Janie can earn more than that amount, but needs to save at least that much to buy the CD. So, the amount of money she has needs to be greater than or equal to $13.50.

Next, Janie has $3 to begin with. Although she already has some money to start with, that is still not enough to purchase her CD. To earn money, she will do chores ($1.20 per chore). We do not know the amount of chores she will do, so we can mark that as variable x.

If we put that all together, we will get 13.50 ≤ 1.20x + 3. If you solver this equation, you can solve how many chores she will have to do, but that is not part of the question!!

Now, for the graph. A closed dot represents if it is not only greater or less than, but it also has a possibility to be equal as well. So, this dot will be closed. As I said before, the amount of money she has all together has to be greater than or equal to $13.50. Starting from the dot, you will draw the arrow to the right, which symbolizes that all of these numbers are the solution.

I hope this helped you! Have a great rest of your day.

6 0

3 years ago

Divide (3x3 + 4x2 – 5x – 2) ÷ (x + 2) using long division.

Molodets [167]

      3x^2 - 2x - 1

x + 2 Γ 3x^3 + 4x^2 - 5x - 2
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Therefore, solution is 3x^2 - 2x - 1

3 0

3 years ago

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inn [45]

Answer:

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

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3 years ago