Y= ax² -4x +3
-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.
x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1
Answer:
7 pizzas
Step-by-step explanation:
You just minus 72 from 9 and once you get to 9 dollars you still have enough to time the delivery guy and you would have 4 dollars left.
Answer:
Option (b) is the answer.
Step-by-step explanation:
If two distinct lines intersect
Then they are not parallel because parallel lines never intersect they go hand in hand
But since, we need to tell which is not true
So, option A is discarded.
Option (c) and (d) are also true hence, discarded.
Option (b) is correct that is the lines are perpendicular this is not true. hence, considered
Therefore, option (b) is the answer.
Answer:
The answer to your question is: y = -3x + 14
Step-by-step explanation:
Data
A (4, 2)
y = x/3 - 1
Perpendicular
original slope = 1/3
perpendicular slope = -3
Equation (y - y1) = m(x - x1)
(y - 2) = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 12 + 2
y = -3x + 14
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
