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4 years ago

What the algebraic rule for a dilation with a scale factor of 3

Mathematics

1 answer:

Marianna [84]4 years ago

7 0

Step-by-step explanation & answer:

When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.

For example, if the scale factor is "k", the algebraic representation of the dilation is

(x, y) → (kx, ky)

For enlargements, k > 1 and for reductions, k < 1.

Hope this is what you needed:)

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4 0

2 years ago

Braxton has money in a savings account. The equation B = 800(1 + 0.03) can be used to calculate the amount

Sav [38]

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

B = $800(1 + 0.03)^{t}$ can be used to calculate the amount of money

in dollars, B, Braxton has in his account after t years since opening

the account.

Pam also has money in a savings account. The equation

P= $800(1 + 0.04)^{t}$ can be used to calculate the amount of money in

dollars, P, Pam has in her account after t years since opening the

account.

To find - Braxton's initial investment ..........Pam's initial investment.

The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - $800(1 + 0.03)^{t}$

Pam equation is - $800(1 + 0.04)^{t}$

Now,

1.)

For initial investment , Put t = 0

⇒B = $800(1 + 0.03)^{0} = 800(1) = 800$

P = $800(1 + 0.04)^{0} = 800(1) = 800$

As for t = 0

Braxton's equation , B = Pam's equation,P

⇒Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = $800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42$

P = $800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32$

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

7 0

3 years ago

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number

devlian [24]

X = 1st number
y = 2nd number

x + y = 200
x : y = 4 : 6

ok! let's substitute numbers!

4 * 10 : 6 * 10

40 : 60

40 + 60 = 200

100 ≠ 200

Too small!

That is exactly two times smaller than 200 so let's try 2 times greater than multiplying by 10

4 * 20 : 6 * 20
80 : 120

80 + 120 = 200

200 = 200

Now it says to find the larger number. Which is y.

x :y = 4 : 6 = 80 : 120

so, y is 120

y = 120

Answer : y = 120. The larger number is 120.

3 0

4 years ago

3 6/4 in simplest form

ivanzaharov [21]

Answer:

4 1/2.

hope this helps!

6 0

3 years ago

PLS HELP Given

horrorfan [7]

Step-by-step explanation:

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5 0

3 years ago