Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
<em>The other constraint for this situation will be: </em>
Step-by-step explanation:
The company takes 4 hours of labor to produce a mountain bike and 5 hours of labor to produce a road bike.
Here, represents the number of mountain bikes per day and represents the number of road bikes produced per day.
So, the total number of hours taken to produce mountain bikes
and the total number of hours taken to produce road bikes
Given that, the company has at most 300 hours of labor available per day. That means, the maximum number of hours should be 300.
So, the other constraint for this situation will be:
<h2>
Answer:</h2><h2>
The correct option to the given question is J</h2>
Step-by-step explanation:
Real numbers are classified into two types,
(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number
(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.
Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.
Real numbers are formed by the union of rational and irrational numbers.
Answer:
Step-by-step explanation:
Apply rule :
The expression cannot be simplified further.
Factor out 2x from the expression.
Simple enough:
Solve for V:
V/2 + 6 = 14
Put each term in V/2 + 6 over the common denominator 2: V/2 + 6 = V/2 + 12/2:
V/2 + 12/2 = 14
V/2 + 12/2 = (V + 12)/2:
(V + 12)/2 = 14
Multiply both sides of (V + 12)/2 = 14 by 2:
(2 (V + 12))/2 = 2×14
(2 (V + 12))/2 = 2/2×(V + 12) = V + 12:
V + 12 = 2×14
2×14 = 28:
V + 12 = 28
Subtract 12 from both sides:
V + (12 - 12) = 28 - 12
12 - 12 = 0:
V = 28 - 12
28 - 12 = 16:
Answer: V = 16