(3,24)(7,56)
slope = (56 - 24) / (7 - 3) = 32/4 = 8
y = mx + b
slope(m) = 8
(3,24)...x = 3 and y = 24
now we sub
24 = 8(3) + b
24 = 24 + b
24 - 24 = b
0 = b
so ur equation is : y = 8x + 0...or just y = 8x
to find ur answer, take ur answer choices and sub them into y = 8x and whichever one is true is ur answer.
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:

The area of the triangle DEF is 10.
Log of 1 / 100 is - 2 because 10^( - 2 ) = 1 / 10^2 = 1 / 100 ;
Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.
So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.
We know 1 meter = 100 centimeters = 1000000 micrometers
So 1 centimeter = 10000 micrometers
Taking Cubic powers on both sides :-
1 cubic centimeters = 10¹² cubic micrometers
1 cubic micrometers = 10⁻¹² cubic centimeters
50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters
So volume of one cell = 5 × 10⁻¹¹ cubic centimeters
Number of cells =
= 2 × 10¹⁰ cells.
So, total number of cells = 2 × 10¹⁰ cells.