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3 years ago

If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L

Mathematics

1 answer:

guapka [62]3 years ago

3 0

Answer:

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Step-by-step explanation:

Explanation:-

Type of transformation change to co-ordinate point

vertical translation up 'd' units (x,y) changes to (x , y+d)

vertical translation down 'd' units (x,y) changes to (x , y-d)

Horizontal translation left 'c' units (x,y) changes to (x-c , y)

Horizontal translation right 'c' units (x,y) changes to (x+c , y)

Now by use above table

given data ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Final answer:-

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

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What are the zeros of (x-2)(x^2-9)

WARRIOR [948]

$(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\\\\x-2=0\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=2}\\\\x^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\\\\x^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\\\\Answer:\boxed{x=-3\ or\ x=2\ or\ x=3}$

3 0

3 years ago

When the Defense Department ordered 132 new airplanes, the cost per plane was estimated to be $580 million. A cut in the order t

aliina [53]

Answer:

C. The loss of economies of scale

By definition represent "the cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output decreasing with increasing scale" and thats the corrct option since if we increase the order we have a lower price.

Step-by-step explanation:

Assuming the following options we analyze one by one to select the correct one

A. A move to minimum efficient scale

By definition the minimum efficient scale (MES) or efficient scale of production is "the lowest point where the plant can produce such that its long run average costs are minimized" but thats not the case since the department order new planes and the costs are not minimized .

B. The law of diminishing returns

The law of diminishing marginal returns says that "at some point, adding an additional factor of production results in smaller increases in output" but that's not the case since we don't have smaller increases in output.

C. The loss of economies of scale

D. An increase in fixed cost

That's False since on this case we don't have a fixed cost, the cost on this case depend on the size of the order.

4 0

3 years ago

Ariel deposited $100 into a bank account. Each friday she will withdraw 10% of the money in the account to spend. Ariel thinks h

dimulka [17.4K]

Answer: Yes, I agree. $10 will be withdrawn every Friday, resulting in the $100 she deposited being completely gone after 10 withdrawals.

Step-by-step explanation: You will want to find the amount of money being taken from the $100 withdrawal first. Turn the percent into a decimal, which should result to 0.10. Take this decimal and multiply it with 100 to get the amount of money being taken out of the account each week, which should be $10. I would go about answering this by multiplying the $10 by the amount of 10 withdrawals. This would result in 100. This answers the question because we are trying to see if 10 withdrawals will completely deplete the $100 in the account.

5 0

3 years ago

Solve for x. z=(x-7)k

aliya0001 [1]

Answer:

$x=\frac{z}{k}+7$

Step-by-step explanation:

we have

$z=(x-7)k$

solve for x

That means ----> isolate the variable x

Divide by k both sides

$\frac{z}{k}=x-7$

Adds 7 both sides

$\frac{z}{k}+7=x$

Rewrite

$x=\frac{z}{k}+7$

5 0

3 years ago

!!!!!!!!Pls hurry I need help to solve this !!!!!!! (3m^2 – 5m + 2)^2

solniwko [45]

Answer: 9m^4- 30m^3 +37m^2 - 20m + 4

Step-by-step explanation:

(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)

Now apply the distributive property 3 times to solve.

3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2

-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m

2(3m^2 -5m +2) = 6m^2 - 10m + 4

Now add the solutions

(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =

9m^4- 30m^3 +37m^2 - 20m + 4

3 0

3 years ago