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Ksivusya [100]
11 months ago
5

What is the classification of AABC with vertices A(0, 0), B(4, 3), and C(4, -3) by

Mathematics
1 answer:
lbvjy [14]11 months ago
6 0

Check the picture below.

well, let's take a peek at the distances of each side.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{[ 4- 0]^2 + [ 3- 0]^2} \\\\\\ ~\hfill AB=\sqrt{25}\implies \boxed{AB=5} \\\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) ~\hfill BC=\sqrt{[ 4- 4]^2 + [ -3- 3]^2} \\\\\\ ~\hfill BC=\sqrt{36}\implies \boxed{BC=6}

C(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill CA=\sqrt{[ 0- 4]^2 + [ 0- (-3)]^2} \\\\\\ ~\hfill CA=\sqrt{25}\implies \boxed{CA=5} \\\\\\ \textit{so it's an \underline{isosceles triangle}}

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Which phrase describes the algebraic expression 6x?
Allisa [31]

The algebraic expression uses the terms to denote symbols

sum of means addition

difference of means subtraction

product of means multiplication

quotient of means division

Here we have the term 6x

which actually means 6 times x or

6 multiplied by x

hence by multiplication we use the word product of

so we have the product of 6 and a number as our right answer

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2 years ago
A trail around a lake is 4 1/4 miles long. What is the length, in feet, of the trail?
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3 years ago
The ratio of money in Terry's bank account to Faye's bank account was 3:5.
inn [45]

Answer:

<em>Terry had £780 initially and Faye had £1300</em>

Step-by-step explanation:

<u>System of Equations</u>

We'll call the following variables:

x = Terry's balance in his bank account

y = Faye's balance in her bank account

The initial relation between them is:

\frac{x}{y}=\frac{3}{5}

Cross-multiplying:

5x = 3y        [1]

If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus

x + 220 = y - 300

Subtracting 220:

x = y - 520         [2]

Substituting in [1]

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Multiplying:

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Adding 2600 and subtracting 3y:

2y = 2600

Dividing by 2:

y = 1300

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Terry had £780 initially and Faye had £1300

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2 years ago
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