Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:
A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:
Multiply both sides by 2.
So, the equation of the line is .
Now, check each point for this equation.
Putting 
, we get
Similarly,
For 
.
For 
.
For 
.
For 
.
For 
.
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.
3 times 10 is 30, 7 times 10 is 70. There are 30 girls and 70 boys.
Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
Solving for c (hypotenuse), we get:
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D
Answer:
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Step-by-step explanation:
Volume V = length l^3
V = x^3
Differentiating both sides;
dV/dt = 3x^2 dv/dt
Given;
x = 10 in
dx/dt = 0.5 in/sec
dV/dt = 3×10^2 × 0.5 = 150 in^3/sec
the volume of the cube is increasing at 150in^3/sec
Answer:
slope = 0
Step-by-step explanation:
The line with equation x = - 3 is a vertical line parallel to the y- axis
A perpendicular line is therefore a horizontal line parallel to the x- axis
The slope of the x- axis is zero, hence the slope of the horizontal line is
slope = 0
