3x+4y=12
4y = - 3x + 12
y = -3/4 x + 3; This line has slope equal - 3/4
Perpendicular lines, slope is opposite and reciprocal so slope of new line = 4/3
Passing point (6 , -2)
y + 2 = 4/3(x - 6)
y + 2 = 4/3 x - 8
y = 4/3 x - 10
Answer
Equation: y = 4/3 x - 10
Answer:
children attended= 114
adults attended= 57
students attended= 82
Step-by-step explanation:
children attended= c
adults attended= a
students attended= s
c+s+a = 253
5c + 7s + 12a = 1828
c=2a
2a + s + a =253
5*2a + 7s + 12a = 1828
3a + s = 253
22a + 7s = 1828
s = 253 - 3a
22a + 7(253 - 3a) = 1828
22a - 21a + 7*253 = 1828
a = 1828 - 7*253
a = 57
s = 253 - 3a = 253 - 3*57 = 82
s = 82
c=2a=2*57= 114
c=114
If I were you, I would search it up on VirtualNerd but you first undo using the opposite of PEDMAS and if you divide or multiply with a negative integer, the direction of the inequality thing in the middle of the equation switches directions.
Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
