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
<span>A.three sides measuring 9 meters, 5 meters, and 5 meters
--> only one isosceles triangle
B.three sides measuring 6 inches, 3 inches and 9 inches
--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.
C.three angles measuring 25°, 25°, and 130°
--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles
D.three angles measuring 55°, 25°, and 125°
--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
</span>
Answer:
30°
Step-by-step explanation:
3x + (90 - 2x) = 180 - 60
x + 90 = 120
x = 120 - 90
x = 30°
The common denominator is 18
350*15 is 5250. That is the total words needed to reach her assignment paper goal. Since there are 60 minutes in an hour we would need to figure out how many words she can type per hour. 60*70 is 4200. Then we divide 5250 by 4200. We get 1.25. Soooo our final answer would be 1 hour and 15 minutes need to be set aside to type her assignment. I really hope this is correct it makes sense to me. If not i am truly sorry.
