Answer: 8x³ - 46x² - 15x + 18
Step-by-step explanation:
To find the volume of a rectangular prism we will multiply each of the three dimensions given
First, let's multiply 4x+3 by x-6: (4x+3)(x-6) = 4x² - 21x - 18
Then we will multiply 4x²... by 2x-1: (4x²-21x-18)(2x-1) = 8x³ - 46x² - 15x + 18
If there are 236 dragons which you sorted into boxes of 10 crayons each, you have 6 crayons left over.
Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
time spent on history homework: 20 minutes
time spent on each math problem: 2 minutes
math problem : x
total time spent :y
So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.
The expression obtained is equal to the total time spent
Mathematically speaking:
y=2x+20
x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)
and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
It can be rewritten as
.....(1)
The standard form of an ellipse is
....(2)
Where (h,k) is center of the ellipse.
If a>b, then the vertices of the ellipse are 
.
From (1) and (2) we get
Since a>b, therefore the vertices of the ellipse are
The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.
Answer:
4.5 units
Step-by-step explanation:
To get the distance we need the coordinates of the points
A is ( 3,1)
B is (-1,-1)
Let A be (x1,y1) and B be (x2,y2)
So applying the formula, we have the distance as;
D = √(-1-3)^2 + (-1-1)^2
D = √(16 + 4)
D = √20
D = 4.5 units
