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jenyasd209 [6]
3 years ago
14

Is the number 110 a composite number

Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

because it can be divided by 5 and 2

Amiraneli [1.4K]3 years ago
7 0

Answer:

yes, 110 is a composite number

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HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
nikitadnepr [17]

Answer:

\frac{x2}{a} - \frac{y2}{b2} = 1

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

\frac{X2}{16} - \frac{b}{4} = 1

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

\frac{x2}{a2} -      \frac{y2}{b2} = 1  

\frac{x2}{16} - \frac{b2}{4} = 1

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3 years ago
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X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.
Sunny_sXe [5.5K]

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

HCF = 21

LCM = 1617

Multiply the HCF and the LCM

HCF \times LCM = 21 \times 1617

HCF \times LCM = 33957

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

x \times y = 33957

<h3>Prime Factors</h3>

Express 33957 as a prime factor

x \times y = 3^2 \times 7^3 \times 11

Rewrite the equation as

x \times y = 99 \times 7^3

x \times y = 99 \times 343

By comparison:

x = 99

y= 343

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

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2 years ago
What slope is parallel to:<br> m = 4
andreyandreev [35.5K]

Answer:

m = 4

Step-by-step explanation:

Parallel means to have the same slope but different x- and y- intercepts

An example would be y = 4x + 6 and y = 4x - 2

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