Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
Answer:
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is:
Step-by-step explanation:
- As we know that the solution of the system of equations is the point of intersection. Let us solve it.
Given the system of equations

solving the system of equations
subtracting 2x+y = -9 from 2x-5y = -3




so

solving for y

Divide both sides by -6





Divide both sides by 2


Thus, the x-coordinate of the point of intersection for the two lines below will be:

Also, the graph is attached.
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is:
This accelerating pattern of increasing population size is called exponential growth. The best example of exponential growth is seen in bacteria. Bacteria are prokaryotes that reproduce by prokaryotic fission.
Answer:
15.65
Step-by-step explanation:
a^2+b^2=c^2
7^2+14^2=c^2
add 49+196=245
245=c^2
square root everything to get 15.65