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3 years ago

(1/2)/(2/3) evaluate

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Find a common denominator for the 2 denominators: 6
Change the fractions: 2 × 3 = 6, 1 × 3 = 3, 3 × 2 = 6, 2 × 2 = 4
Re-write the fractions: $\frac{3}{6}$ and $\frac{4}{6}$
Write as an expression: $\frac{3}{6}$ ÷ $\frac{4}{6}$
$\frac{3}{6}$ ÷ $\frac{4}{6}$ = $\frac{3}{6}$ × $\frac{6}{4}$
$\frac{3}{6}$ × $\frac{6}{4} = \frac{18}{24}$
$\frac{18}{24} = \frac{3}{4}$

I hope this helps!

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wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

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Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.

Hope this helps

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3 years ago

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alina1380 [7]

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A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?

Usimov [2.4K]

Answer: 2 units.

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a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

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Answer:

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Step-by-step explanation:

A. 12x² + 15

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C. 12x² + 8x + 25

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3 years ago

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