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Elis [28]
3 years ago
9

Is 7/8 greater than or less than 2/5

Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

7/8 > 2/5

Step-by-step explanation:

7/8 is greater than 2/5.

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The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k) true or false
gulaghasi [49]

Answer:

False

Step-by-step explanation:

The given statement is:

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)

This is a false statement

Reason:

When we do expansion of (x+y)^n by binomial theorem we get the following solution:

(x+y)^n = nCk x^k y^n-k

This shows that the coefficient of  x^ky^n-k  is nCk which is equivalent to n!/(n-k)! k!

Therefore it is a false statement....

3 0
3 years ago
Lyla i am not cheating they are practice questions stop deleting my question Guys i need help
Tanzania [10]

Answer:

C

Step-by-step explanation:

If you simplify the equation you get \sqrt{\frac{x+3}{1-x} }.  To solve a square root function, you need to set up\sqrt{\frac{x+3}{1-x} }\geq 0. You can take the square root of both sides to get \frac{x+3}{1-x} \geq 0. Then, we identify the intervals that will satisfy the equation, which is -3 ≤ x < 1.

Sorry if the explanation is kind of confusing, I wasn't sure how to describe it.

7 0
3 years ago
In “modeling with linear equations” how do i solve<br><br> -11-8x=-3x+19
user100 [1]

Answer:

x = -6

Step-by-step explanation:

-11 - 8x = -3x + 19 (Move constants to right side)

-8x = -3x + 19 + 11 (Move x to left side)

3x - 8x = 30 (simplify)

-5x = 30 (divide both sides by -5)

x = -6

5 0
3 years ago
Which statements are true regarding the relationships between central, inscribed, and circumscribed angles of a circle? Check al
mamaluj [8]

Answer:

# A circumscribed angle is created by two intersecting tangent segments ⇒ true (1st answer)

# The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc ⇒ true (3rd answer)

# The measure of a central angle will be equal to the measure of an inscribed angle when the arc intercepted by the inscribed angle is twice as large as the arc intercepted by the central angle ⇒ true (6th answer)

Step-by-step explanation:

* Lets revise the types of angles in a circle

- A circumscribed angle is the angle made by two intersecting

 tangent lines to a circle (it's out side the circle)

- Its measure is half the difference of the measures of the two

 intercepted arcs

- Ex:

∵ AB and AC are tangent to circle M at B and C

∴ ∠A is a circumscribed angle

∴ m∠A = 1/2(m major arc BC - m minor arc BC)

- An inscribed angle is an angle formed by two chords in a circle

  which have a common endpoint, this common endpoint is the

  vertex of it

- Its measure is half the measure of the intercepted arc

Ex:

∵ XY and XZ are two chords in circle M

∴ ∠YXZ is an inscribed angle subtended by arc YZ

∴ m∠YXZ = 1/2 (m arc YZ)

- A central angle is an angle with endpoints located on the

 circumference of the circle and its vertex is the center of the circle

- Its measure is the measure of the intercepted arc

- Ex:

∵ MA and MB are two radii of circle M

∴ ∠AMB is a central angle subtended by the opposite arc AB

∴ m∠AMB = m of arc AB

- The measure of an inscribed angle is half the measure of the

  central angle which subtended by the same arc

- Ex:

∵ ∠ABC is an inscribed angle in circle M subtended by arc AC

∵ ∠AMC is a central angle subtended by arc AC

∴ m∠ABC = 1/2 m∠AMC

∴ m∠AMC = 2 m∠ABC

* Lets solve the problem

- From the facts above:

# A circumscribed angle is created by two intersecting tangent

  segments ⇒ true

# The measure of a central angle will be twice the measure of an

   inscribed angle that intercepts the same arc ⇒ true

- Lets prove the last statement

∵ AMC is a central angle of circle M subtended by arc AC

∴ m∠AMC = m of arc AC ⇒ (1)

∵ XYZ is an inscribed angle of circle M subtended by arc XZ

∴ m∠XYZ = 1/2 m of arc XZ

∵ m of arc XZ is twice m of arc AC

∴ m∠XYZ = m of arc AC ⇒ (2)

- From (1) and (2)

∴ m∠AMC = m∠XYZ

∴ The statement down is true

# The measure of a central angle will be equal to the measure of

   an inscribed angle when the arc intercepted by the inscribed

   angle is twice as large as the arc intercepted by the central

   angle ⇒ true

8 0
3 years ago
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5 0
2 years ago
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