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Olin [163]
3 years ago
13

How do the points of a figure move in a translation?

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer: В. Same distance and same direction

Step-by-step explanation:

A translation is a  rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.

It does not change the size or shape of the image.

Thus the correct statement relates to translation is "Same distance and same direction"

Hence, the correct option is B.

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9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

5 0
2 years ago
CAN SOMEONE PLEASE HELP ME???
Varvara68 [4.7K]

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

=-8/-4

=2

5 0
3 years ago
Which descriptions of the figure MUST be true? Select all that apply.<br><br> Please help me
Anvisha [2.4K]

Answer:

I think its B and D

Step-by-step explanation:

4 0
3 years ago
Csc (2sin^-1(-12/13))<br> that is 2 times inverse sin of -12/13
german
Answer: -\frac{169}{120}

I'm assuming you mean this:

cosec(2sin^{-1}(\frac{-12}{13}))

Recall what the cosecant function represents. It is the reciprocal of a sine function, and is often written in this form:

\frac{1}{sinx}

So, using the sine relationship:

cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2sin^{-1}(\frac{-12}{13}))}

Let u = sin^{-1}(\frac{-12}{13})
cosec(2sin^{-1}(\frac{-12}{13})) = \frac{1}{sin(2u)}
= \frac{1}{2sinu \cdot cosu}
= \frac{1}{2sin(sin^{-1}(\frac{-12}{13})) \cdot cos(sin^{-1}(\frac{-12}{13}))}
= \frac{1}{\frac{-24}{13} \cdot \sqrt{1 - (\frac{-12}{13})^{2}}}
= \frac{1}{\frac{-24}{13}} \cdot \frac{1}{\sqrt{1 - \frac{144}{169}}}
= -\frac{13}{24} \cdot \frac{1}{\sqrt{\frac{25}{169}}}
= -\frac{13}{24} \cdot \frac{1}{\frac{5}{13}}
= -\frac{13}{24} \cdot \frac{13}{5}
= -\frac{169}{120}
3 0
3 years ago
The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of
Snowcat [4.5K]

Answer:

The value of x = 513

Step-by-step explanation:

Let x, y, and z be the three numbers

Given

x+y+z=855

Assuming x be the number which is 50% more than the sum of the other two numbers.

i.e.

(150)% of (y+z) = 1.5(y+z)

                y + z = x/1.5

As we know that

x + y + z = 855

substituting y + z = x / 1.5 in the equation

x+\frac{x}{1.5}=855

Multiply both sides by 1.5

x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5

1.5x+x=1282.5

2.5x=1282.5

Divide both sides by 2.5

\frac{2.5x}{2.5}=\frac{1282.5}{2.5}

x = 513

Therefore, the value of x = 513

8 0
3 years ago
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