Answer:
9
Step-by-step explanation:
H=1/2 * B
N=H-5= 1/2 * B-5
B+H+N= B+(1/2 *B) + (1/2 *B-5)=31
2B-5=31
B=18
H=1/2 *B=9
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
Answer:
1,030 quarts in two months
Step-by-step explanation:
First you would add the two months together like: 2,560 + 1,560 = 4,120
Then you would divide I think 4,120 by 4 which would look like: 4,120/4
You should get 1,030. I'm not sure if I did this right so rip ¯\_(ツ)_/¯
Answer:
<h3>
2642km</h3>
Step-by-step explanation:
Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;
D = 
Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10
If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km
Hence the birds distance in km will be 2642km to the nearest kilometers
