Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Step-by-step explanation:
First, we need to find the unit rate of each animal (how many feet each animal can fly in a second). We do this by dividing the number of feet flown by the number of time.
Bat: 232/4 = 58 ft per second
Hummingbird: 343/7 = 49 ft per second
Based off of this information, we can conclude that the bat can fly faster than the hummingbird.
Answer:
13,000ml
Step-by-step explanation:
1000ml = 1L.
We can rewrite this forumla as:
yL x 1000=ml. y=the number of liters.
In this problem, y=13. Thus:
13Lx1000= 13,000ml
I hope this helps!
Question 1:
Slope = 1/5
y = mx + c
y = 1/5 x + c
at point (5, -1)
-1 = 1/5 (5) + c
- 1= 1 + c
c = - 2
y = 1/5x - 2
5y = x - 10
Question 2:
slope = (9-5)/(3-1)
Slope = 2
y = mx + c
y = 2x + c
at point (1, 5)
5 = 2(1) + c
c = 5 - 2
c = 3
y = 2x + 3
D -9 because it has a -3 and its going to be the same - sign
