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3 years ago

What does the C equal to in -1/6 +7/6 = c

Mathematics

1 answer:

STALIN [3.7K]3 years ago

6 0

Answer:

c = 1

Step-by-step explanation:

we have -1/6 + 7/6

since 6 is a common denominator we can do

$\frac{-1}{6} +\frac{7}{6} = c\\\frac{-1+7}{6} = c\\\frac{6}{6} = c\\1 = c\\c = 1$

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Use set notation to describe the venn diagram. Here's the picture of the diagrams!! https://imgur.com/a/G5oCszI

Nikolay [14]

The first picture represents the elements in B that are not (also) in A. So, we want the set difference of B and A:

$B \setminus A = \{x \in B:\ x \notin A\}$

For the second picture, we can work like this: if we take all the elements belonging to A, we only need to add the bottom-right part, which is the intersection of B and C. So, we can express the blue part as

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3 years ago

Whats the equation for this

yawa3891 [41]

Answer:

$x^2 + y^2 + 4x + 4y = -119/16$

Step-by-step explanation:

The axes x and y are calibrated in 0.25

If the circle is carefully considered, the radius r of the circle is:

r = -1.25 - (-2)

r = 0.75 units

The equation of a circle is given by:

$(x - a)^2 + (y - b)^2 = r^2$

The center of the circle (a, b) = (-2, -2)

Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:

$(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\$

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3 years ago

Which of the following is a polynomial with roots 2, 3i, and −3i? f(x) = x3 − 2x2 + 6x − 9 f(x) = x3 − 6x2 + 9x − 18 f(x) = x3 −

Andreas93 [3]

F(x) = x3 − 2x2 + 9x − 18

4 0

3 years ago

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The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l

Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

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3 years ago

22/20 in simplest form

Evgen [1.6K]

Answer: 22/20 in simplest form would be 11/10.

Step-by-step explanation:

To find simplest form, you need to reduce the fraction down by a common factor, for instance 2. 22/2 is 11 (which is your numerator) and 20/2 is 10 (which is your denominator).

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3 years ago

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