(b) What does the shaded region represents in the given figure?
1 answer:
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Answer:
There are 35 different sets of 3 books Joe could choose
Step-by-step explanation:
* Lets explain how to solve the problem
- Combination is a collection of the objects where the order doesn't
matter
- The formula for the number of possible combinations of r objects from
a set of n objects is nCr = n!/r!(n-r)!
- n! = n(n - 1)(n - 2)................. × 1
Lets solve the problem
- Joe has one book each for algebra, geometry, history, psychology,
Spanish, English and Physics in his locker
∴ He has <em>seven</em> books in the locker
- He wants to chose <em>three</em> of them
∵ The order is not important when he chose the books
∴ We will use the combination <em>nCr</em> to find how many different sets
of three books he can choose
- The total number of books is 7
∴ n = 7
∵ He chooses 3 of them
∴ r = 3
∵ 7C3 = 7!/3!(7 - 3)! = 7!/3!(4!)
∴
∴ 7C3 = 35
* There are 35 different sets of 3 books Joe could choose
Hey!
To solve x in this equation we must first add five to both sides to get
on its own.
<em>Original Equation :</em>
<em>New Equation {Added 5 to Both Sides} :</em>
Now we must square both sides of the equation.
<em>Old Equation :</em>
<em>New Equation {Changed by Squaring Both Sides} :</em>
And now we must solve the new equation.
Step 1 - Switch sides
Step 2 - Subtract x from both sides
Step 3 - Simplify
Now we need to solve the rest of the equation using the quadratic formula.
9
4
<em>So, this means that in the equation
,</em> x = 9 <em>and </em>x = 4.
Hope this helps!
- Lindsey Frazier ♥
To solve x in this equation we must first add five to both sides to get
<em>Original Equation :</em>
<em>New Equation {Added 5 to Both Sides} :</em>
Now we must square both sides of the equation.
<em>Old Equation :</em>
<em>New Equation {Changed by Squaring Both Sides} :</em>
And now we must solve the new equation.
Step 1 - Switch sides
Step 2 - Subtract x from both sides
Step 3 - Simplify
Now we need to solve the rest of the equation using the quadratic formula.
9
4
<em>So, this means that in the equation
Hope this helps!
- Lindsey Frazier ♥
Answer:
Option B) y = 50
Step-by-step explanation:
We are given the following information:
Two parallel lines are crossed by a transversal.
The attached image shows the intersection of transversal and the angles.
As clear from the image, the given pair of angles form alternate interior angles.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent or equal
Thus, y = 50 degree
