Answer:
-log2
Step-by-step explanation:
log4 - log8 = log2² - log2³
= 2log2 - 3log2
= (2 - 3)×log2
= (-1)×log(2)
= -log2
Answer:
Step-by-step explanation:
So 18 oranges are 12 percent of her total oranges. You can use Ratio to solve this.
O : P
18 : 12 P = Percentage O = Orange
1.5 : 1
150 : 100
All I did was make the percentage one by dividing both numbers by 12. This makes it 1.5 oranges per percent. Times 1.5 with 100 to make it 100 percent.
Answer:
They both have area 4
Step-by-step explanation:
Area of the square:
Area of the triangle:
Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:
We know the length of the diagonal is 
as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.
Answer:
The equation is ( x² / 9 ) - ( y² / 7 ) = 1
Step-by-step explanation:
Given the data in question;
hyperbola is centered at the origin, this means h and k are all equals to 0.
Vertices: (-3,0) and (3,0)
Since y-coordinates are constant, this implies it is a hyperbola with horizontal transverse axis.
h - a = -3
0 - a = -3
a = 3
Foci: (-4,0) and (4,0)
h - c = -4
0 - c = -4
c = 4
we know that, for a hyperbola
c² = a² + b²
so
⇒ ( 4 )² = ( 3 )² + b²
16 = 9 + b²
b² = 16 - 9
b² = 7
So the equation for the hyperbola will be;
⇒ ( (x-h)² / a² ) - ( (y-k)² / b² ) = 1
so we substitute
⇒ ( (x-0)² / 3² ) - ( (y-0)² / 7 ) = 1
⇒ ( x² / 3² ) - ( y² / 7 ) = 1
⇒ ( x² / 9 ) - ( y² / 7 ) = 1
Therefore, The equation is ( x² / 9 ) - ( y² / 7 ) = 1
