Answer:
y = 3x - 16
Step-by-step explanation:
We are asked to find the equation of the line perpendicular to 2x + 6y = 30
We can use two formulas for this question, either
y = mx + c. Or
y - y_1 = m(x - x_1)
Step 1: calculate the slope
From the equation given
2x + 6y = 30
Make y the subject of the formula
6y = 30 - 2x
Or
6y = -2x + 30
Divide both sides by 6, to get y
6y/6 = ( -2x + 30)/6
y = (-2x + 30)/6
Separate them in order to get the slope
y = -2x/6 + 30/6
y = -1x/3 + 5
y = -x/3 + 5
Slope = -1/3
Step 2:
Note: if two lines are perpendicular to the other, both are negative reciprocal of each other
Perpendicular slope = 3/1
Substitute the slope into the equation
y = mx + c
y = 3x + c
Step 3: substitute the point into the equation
( 6,2)
x = 6
y = 2
2 = 3(6) + c
2 = 18 + c
Make the c the subject
2 - 18 =c
c = 2 - 18
c = -16
Step 4: sub the value of c into the equation
y = 3x + c
y = 3x - 16
The equation of the line is
y = 3x - 16
If you try out the other formula, u will get the same answer
Answer:
3 is a function.
1 and 2 are not.
Step-by-step explanation:
1 and 2 are not functions because we can draw a vertical line which passes through more than one point on the graphs.
You cant do this on graph 3 so it is a function.
I<span> found the graph choices: </span>
<span>Given:</span>
8 rose bouquets
6 daffodil bouquets
total of 14 bouquets
enough flowers left to make maximum of 20 bouquets.
x = additional rose bouquets
y = additional daffodil bouquets
20 maximum bouquets - 14 made bouquets = 6 additional bouquets
x + y = 6
y = 6 - x
x = 6 - y
If x = 0 then y = 6
If x = 6 then y = 0
If x = 4 then y = 2
If x = 2 then y = 4
Pls. see attachment for the correct graph.
If we are given a triangle JKL and we assume that this is a right triangle, we can find the measure of the angle LJK by using formulas derived from the Pythagorean Theorem.If opposite side = 10 hypotenuse = 15then, we can use: cos (x) = opposite / hypotenusesin (x) = 10 / 15
Answer:
25700000
Step-by-step explanation:
1,000 miligrams in a gram so 25700*1000 = 25700000
