Simplify the following:

2y-6x=12 what is it in slope intercept form

andrew11 [14]

Answer:y=3x+6

Step-by-step explanation:

6 0

3 years ago

In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units

zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

including angles between them are equal, then the two

triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0

3 years ago

Read 2 more answers

If f(x) = -3x - 5 and g(x) = 4x - 2, find (F- g)(x).

yan [13]

Answer:

If f(x) = -3x - 5 and g(x) = 4x - 2 then (f - g)(x) = -7x - 3

Solution:

We need to determine the value of (f - g)(x)

Given that the function is f(x) = -3x - 5 and the other function is g(x) = 4x - 2

The value of (f - g)(x) can be found by as follows:

(f - g)(x) = f(x) - g(x)

On substituting the given value of f(x) and g(x) we get

(f - g)(x) = (-3x - 5) - (4x - 2)

Upon solving we get

(f - g)(x) = -3x -5 -4x + 2 = -7x -3

Hence the value of (f - g)(x) is equal to -7x - 3

8 0

3 years ago

PLA HELP ME ASAP FOR 7, 8, 9, 10, and 11. A and B!! (SHOW WORK!!!!) + LOTS POINTS!!

DENIUS [597]

This is number 7 and 9

8 0

3 years ago

Read 2 more answers

Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 eac

Hunter-Best [27]

Answer:

Average price, excluding taxes, for each CD is 10.20.

Step-by-step explanation:

Given:

Cost of first 5 CDs, $C_1 = 3.00$

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is, $C_2=15.00\times 10=150.00$

Now, total CDs purchased by Jana are, $N=5+10=15$

Total cost of the 15 CDs purchased is given as:

$C_T=C_1+C_2=3.00+150.00=153.00$

Now, average price, excluding taxes, for each CD is given as:

$\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20$

Therefore, the average price, excluding taxes, for each CD is 10.20.

7 0

3 years ago