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3 years ago

What is the image of ( 3 , − 5 ) (3,−5) after a dilation by a scale factor of 5 5 centered at the origin?

Mathematics

1 answer:

vova2212 [387]3 years ago

3 0

Answer:

The coordinates of the image will be: (15, -25)

Step-by-step explanation:

Given the point

(3,−5)

The scale factor 5.

A scale factor of 5 means that the new shape is five times the size of the original.

The coordinates of the image of (3,−5) after dilation by a scale factor of 5 centered at the origin can be obtained by multiplying the original coordinates of the object point by 5.

i.e.

(x, y) → (5x, 5y)

(3, -5) → (5×3, 5×(-5)) = (15, -25)

Therefore, the coordinates of the image will be: (15, -25)

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AnnZ [28]

Answer:

The answer is t>0

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2<3t−2

Step 1: Flip the equation.

3t−2>−2

Step 2: Add 2 to both sides.

3t−2+2>−2+2

3t>0

Step 3: Divide both sides by 3.

3t /3 > 0/3

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3 years ago

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What is 102% as a fraction

scZoUnD [109]

102% as a fraction would be 102/100, because a percent is by the one hundreds, and you can have a fraction be by hundreds. You can reduce the fraction by dividing it by 2, which equals 51/50. Another example, to clarify, is to make 41% a fraction, and decimal. Once again a percent is base 100, so the fraction would be 41/100, then to make it a decimal, you would put a decimal point in front of the 41, to make it .41. Hope I helped, and if you don't understand, tell me and I will try to make it better.

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3 years ago

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Help with this question!

zheka24 [161]

Since AS is a height issued from A and the perpendicular bisector of [MP] at the same time (given), so the triangle AMP is an isosceles triangle of vertex A. Then, AM=AP
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4 years ago

Find the number of subsets for the following set. {3, 4, 5} How many subsets does this set have? nothing (Type a whole number

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4 years ago

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

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3 years ago