Add -1.5 +1.75 Plot the first addend and the sum on the number line.

Which number is IRRATIONAL? A) 16 B) 18 C) 25 D) 36

kiruha [24]

C) 25 this is too easy

7 0

3 years ago

Find the equation of ellipse passing throgh (1,4) and (-3,2)

irinina [24]

Answer:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

Step-by-step explanation:

we want to figure out the ellipse equation which passes through (1,4) and (-3,2)

the standard form of ellipse equation is given by:

$\displaystyle \frac{(x - h {)}^{2} }{ {a}^{2} } + \frac{(y - k {)}^{2} }{ {b}^{2} } = 1$

where:

(h,k) is the centre
a is the horizontal redius
b is the vertical radius

since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

$\displaystyle \frac{ {x}^{2} }{ {a}^{2} } + \frac{{y}^{2} }{ {b}^{2} } = 1$

substituting the value of x and y from the point (1,4),we'd acquire:

$\displaystyle \frac{ 1}{ {a}^{2} } + \frac{16}{ {b}^{2} } = 1$

similarly using the point (-3,2), we'd obtain:

$\displaystyle \frac{ 9}{ {a}^{2} } + \frac{4 }{ {b}^{2} } = 1$

let 1/a² and 1/b² be q and p respectively and transform the equation:

$\displaystyle \begin{cases} q + 16p = 1 \\ 9q + 4p = 1 \end{cases}$

solving the system of linear equation will yield:

$\displaystyle \begin{cases} q = \dfrac{3}{35} \\ \\ p = \dfrac{2}{35} \end{cases}$

substitute back:

$\displaystyle \begin{cases} \dfrac{1}{ {a}^{2} } = \dfrac{3}{35} \\ \\ \dfrac{1}{ {b}^{2} } = \dfrac{2}{35} \end{cases}$

divide both equation by 1 which yields:

$\displaystyle \begin{cases} {a}^{2} = \dfrac{35}{ 3} \\ \\ {b}^{2} = \dfrac{35}{2} \end{cases}$

substitute the value of a² and b² in the ellipse equation , thus:

$\displaystyle \frac{ {x}^{2} }{ \dfrac{35}{3} } + \frac{{y}^{2} }{ \dfrac{35}{2} } = 1$

simplify complex fraction:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

and we're done!

(refer the attachment as well)

8 0

3 years ago

Greatest to least 9, 1/2, -7, 0.75, -0.75,-5, 13

Vikentia [17]

Answer:

13, 9, 0.75, 1/2, -0.75, -5, -7

-7, -5, -0.75, 1/2, 0.75, 9, 13

Step-by-step explanation:

6 0

3 years ago

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The lengths of a certain species of fish are approximately normally distributed with a given mean mc019-1.jpg and standard devia

Effectus [21]

69 cm is one standard deviation below the mean

for a normally distributed (bell curve) population 
___ about 68% lie within one standard deviation of the mean ___ 34% above and 34% below 

in this case , the 34% below the mean is added to the 50% above the mean (the 1/2 of the population equal to or longer than 79 cm) 

so 84% of the population is longer than 69 cm

4 0

3 years ago

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PLS HURRY! I WILL GIVE BRAINLIEST!!!!

rjkz [21]

the answer is c 20 minutes played and 9 levels passed because that point is acctually shown on the line

3 0

4 years ago

Read 2 more answers