2 3/4 = 11/4 <=== written as an improper fraction
Answer: D
Step-by-step explanation:
Volume rectangle= area x height
V=85cm x 245cm^2
X² + 8x +y² - 2y -64 =0
We see that the equation has x² and y² . Also we see that coefficients in front of x² and y² are equal. So this is an equation of the circle.
(x² + 8x) +(y² - 2y) -64 =0
(x² + 8x) +(y² - 2y) = 64
We need to complete square for x and y groups, that means it should be written in form (a+b)² or (a-b)².
Expressions in parenthesis we will write as a²+/-2ab+b², to write it after as (a+/-b)², because a²+/-2ab+b² = (a+/-b)²
(x² + 2*4x) +(y² - 2*1y) = 64
(x² + 2*4x+4²) +(y² - 2*1y+1²) = 64+4²+1²
(x+4)² + (y-1)²= 81 Sometimes this is called a standard form of the circle.
(x+4)² + (y-1)²= 9² Sometimes it is required to write like this.
And if you are studying circles,ellipses and hyperbolas, the standard form should look like
Answer:
Let's say that the whole book have 5a pages.
First day: a + 12
Second day: (4a)1/4+15= a + 15
Third day: (1/3)[ 4a - (a+15)] +18= a + 13
Forth day: 70
So we get this:
(a + 12) + (a + 15) + (a + 13) + 70 = 5a
a + 12 + a + 15 + a + 13 + 70 = 5a
3a + 110 = 5a
3a - 5a = -110
-2a = -110
a = 55
5a = 5(55) = 275
So the total pages are in the book is:
275 pages
Answer:
principal=$300
time=1 year
simple interest=$54
rate=?
Step-by-step explanation:
rate=(simple interest×100)/(principal×time)=(54×100)(300×1)=5400/300=54/3=18% is rate