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2 years ago

A quadrilateral has vertices a(-4 -8) b (-2, 34) c(6,12 and d (10, -30). It undergoes the transformation (x,y) to (x/2,y/2).

Mathematics

1 answer:

worty [1.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

scale factor:

1/2

the coordinates of the new vertices are

A (-4/2, -8/2)

A:(-2, -4)

B (-2/2, 34/2)

B: (-1, 17)

C (6/2, 12/2)

C:(3, 6)

D (10/2, -30/2)

D:(5, -15)

I guess the dilation is 2 times bigger?

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spayn [35]

Answer:

<h3>Some Points about this Formula :- </h3>

The formula given here is the definition of the derivative in calculus. The derivative measures the rate at which a quantity is changing.

For example, we can think of velocity, or speed, as being the derivative of position - if you are walking at 3 miles (4.8 km) per hour, then every hour, you have changed your position by 3 miles.

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3 0

2 years ago

20 points

CaHeK987 [17]

Answer:

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Step-by-step explanation:

7 0

2 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

$t=ln(2)/[0.036]$

$t=19.25\ years$

7 0

3 years ago

*Mastery Check. DO NOT ask for help. Find the area of the sector. Round your answer to the nearest tenth.

Juliette [100K]

The area of the sector is 472.6 ft²

<h3>Area of a Sector</h3>

For finding the area of the sector, you need apply the formula:

$A=\pi r^2* \frac{\alpha }{360}$ , where:

r= radius

α= central angle

The question gives:

r= radius= 19 ft

α= central angle = 150°

Thus, the area of the sector will be:

$A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6$

Read more about the area of a sector here:

brainly.com/question/22972014

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1 year ago

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Mazyrski [523]

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2 years ago