Answer:
Step-by-step explanation:
The area = 252 in²
One side = 14 in
The other side = x
The area of a rectangle is a product of 2 sides
- 14x = 252
- x = 252/14
- x = 18 in
Answer:
The sentence you have can be expressed in algebra (using x as 'the number'):
2x + 5 = x / 3. (We add 5 to the left side because that product is less than the right side.)
Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.
or
Let the unknown number that we are solving for be x.
The product of a number and 2 means 2*x
5 less than the quotient of a number and 3 means x/3 - 5.
So,
2*x = x/3 - 5 subtract x/3 from both sides of the equation
2x - x/3 = -5 , now find the least common denominator for the left side of the equation
6x/3 - x/3 = -5
(6x - x)/3 = -5
5x/3 = -5, now multiply both sides of the equation by 3
5x = -15 now divide both sides of the equation by 5
x = - 3. So the number is -3.
Step-by-step explanation:
The compliment of this event is not <span>choosing a "go back 1 space" card in a boad game. The probability of the compliment is 100% - 25% = 75%.</span>
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and 
. The two solutions are different from one another.
10 = (3 + 5 + m) / 3 (by the definition of the average)
8 + m = 3*10
m = 30 - 8
m = 22 answer
