Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
X=40 because you set all the degrees equal to 360 degrees because its a circle :)
-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
-12=4
-16=0
Which is false.
Answer: No solution
Just 9
I'm not sure for the second one but I think 1 ft
Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:
Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:
Now given N = 480 and C = 4.90, we first find k:
Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:
Rounding to next whole number, we have 436 items
