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4 years ago

Simplify the following expression (38x +61y) - (3x-11y)

Mathematics

1 answer:

aliina [53]4 years ago

5 0

Answer:

72 y + 35 x

Step-by-step explanation:

Simplify the following:

(61 y + 38 x) - (-11 y + 3 x)

-(-11 y + 3 x) = 11 y - 3 x:

38 x + 61 y + 11 y - 3 x

Grouping like terms, 61 y + 11 y + 38 x - 3 x = (61 y + 11 y) + (38 x - 3 x):

(61 y + 11 y) + (38 x - 3 x)

61 y + 11 y = 72 y:

72 y + (38 x - 3 x)

38 x - 3 x = 35 x:

Answer: 72 y + 35 x

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Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?

melisa1 [442]

Answer:

(x + 2)² + (y - 1)² = 25

Step-by-step explanation:

radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

r = 5

Circle: (x - h)² + (y - k)² = r²

center: (-2 , 1) h = -2 k = 1

(x + 2)² + (y - 1)² = 25

3 0

3 years ago

Read 2 more answers

Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2

irinina [24]

Question:

Which fraction is equivalent to $\frac{2}{6}$ ?

- $\frac{3}{7}$ because $\frac{2}{6}= \frac{2 + 1}{6 + 1}$

- $\frac{3}{9}$ because $\frac{2}{6}= \frac{1}{3}$ and $\frac{1}{3} = \frac{3}{9}$

- $\frac{3}{12}$ because $\frac{2}{6}= \frac{1}{3}$ and $\frac{1}{3} = \frac{3}{9}$

- $\frac{3}{8}$ because $\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}$

Answer:

- $\frac{3}{9}$ because $\frac{2}{6}= \frac{1}{3}$ and $\frac{1}{3} = \frac{3}{9}$

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of $\frac{2}{6}$ is as explained in the selected option;

First, divide numerator and denominator by 2

$\frac{2/2}{6/2}$

Then simplify

2/2 = 1 and 6/2 = 3; So;

$\frac{2/2}{6/2} = \frac{1}{3}$

Multiply numerator and denominator by 3

$\frac{1*3}{3*3} = \frac{3}{9}$

Hence, $\frac{2}{6}$ is equivalent to $\frac{3}{9}$

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3 years ago

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Kobotan [32]

Answer:

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Step-by-step explanation:

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