This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
10c=3c+21
To make c the subject we begin by subtracting 3c from both sides
10c-3c=3c+21-3c
7c=21
dividing both sides by 7 we get:
(7c)/7=21/7
c=3
The answer is c=3
So she could see how much each apple cost.
A triangular prism Vol. = area (A) of the triangular base × height (h) of prism
A triangular pyramid V = A × 1/3 h
So since they have same base A and h, the V of the pyramid will be exactly 1/3 the V of the prism
A = L * W
L = 3x + 5
W = x - 2
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x^2 - 6x + 5x - 10
A = 3x^2 - x - 10 <====
Answer:
y = 
+ 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = 
= 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = 
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
= 
= 
y - 4 = x - 2
y = x + 2
