Answer:a) 870
b) 435
Step-by-step explanation:
a)
number of photos to be posted =n = 30
number of web pages on which they would be posted is 2
Since the order in which the photos appear on the web pages matters,
Number of ways = 30 permutation 2
=870 ways
b)
Since the order in which the photos appear on the web pages does not matter,
Number of ways = 30 combination 2
= 435 ways
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a =
. Then plugging in the values for c and b, we get a =
= 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
Answer:
I hope this helps. If I misunderstood the question let me know
Step-by-step explanation:
1. When dividing a negative by a negative, your answer would be positive.
2. When dividing a negative by a positive, your answer will be negative.
3. When dividing a positive by a negative,your answer will be negative.
Answer:
Two imaginary solutions:
x₁= 
x₂ = 
Step-by-step explanation:
When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.
The discriminant gives us information on how the solutions of the equations will be.
- <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
- <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
- <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)
So now we will work with the equation given: 4x - 3x² = 10
First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0
So:
4x - 3x² = 10
-3x² + 4x - 10 = 0 will be our equation
with this information we have that a = -3 b = 4 c = -10
And we will find the discriminant: 
Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>
To proceed to solve the equation we will use the general formula
x₁= (-b+√b²-4ac)/2a
so x₁ = 
The second solution x₂ = (-b-√b²-4ac)/2a
so x₂=
These are our two solutions in the imaginary numbers.
To find the age of tom we will use the expression 20*3 because tom is three times as old as Sam.
so the answer is 60