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azamat
3 years ago
8

The point A (-5, -2) is reflected over the line y = -1, and then is reflected over the line x = 3. What are the coordinates of A

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0
When A is reflected over y=-1, -1+(-1-(-2))=0, it lands on (-5, 0), when it is then reflected over x=3, 3+(3-(-5))=11, it lands on (11,0) 
If you can't visualize it, draw a graph.
ollegr [7]3 years ago
6 0

Answer:

(11,0)

Step-by-step explanation:

A is (-5,-2)

It is reflected over the line y=-1

The distance between the y value is -1-(-2)= 1

So we move 1 unit above the line  y=-1  

After reflection over the line y=-1 the A becomes (-5,1-1) is (-5,0)

It is reflected over the line x = 3

The distance between -5  and 3 is 3-(-5)= 8

So we move 8 units away from the line x=3

Point (-5,0) becomes (3+8,0) is (11,0)

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What equation is perpendicular to y = 3/2x-3 and passes through (-1, 2)?
Svetach [21]

Answer:

y=2/3x-16/3

Step-by-step explanation:

Find perpendular by using negative reciprocal. Then plug in your x and y points into that equation, y=-2/3x-3 --> Then make y=2 and x=-1 --> 2=2/3(-1)+b

solve for b and ur done.

3 0
3 years ago
Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.
beks73 [17]
2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5
8 0
2 years ago
Read 2 more answers
A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 20 componen
musickatia [10]

Answer: Probability that this whole shipment will be accepted is 0.629

Step-by-step explanation:

The company randomly select and test 20 components and accept the whole batch if there are fewer than 3 defectives.

Applying normal distribution,

z = (x-u)/s

Where

n = number of components that were tested.

s = standard deviation

u = mean = np

p = probability that the component has defect

q = probability that the component does not have defect

x = r = the number of components

From the information given,

p = 8/100 = 0.08

q = 1-q = 1-0.08 = 0.92

n = 20

u = 20×0.08 = 1.6

s = √20 × 0.08 × 0.92 = √1.472

s = 1.21

Probability that this whole shipment will be accepted will be probability that fewer than 3 components have defects. This means that it must be lesser than or equal to 2 components.

P(x lesser than 3) =P(x lesser than or equal to 2). Therefore,

x = 2

z = (2-1.6)/1.21 = 0.33

Looking at the normal distribution table, the corresponding z score is 0.629

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3 years ago
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