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4 years ago

What is the value of x

Mathematics

1 answer:

Nadya [2.5K]4 years ago

5 0

35 + 58 = 93, since all angles in a triangle are equal to 180 you can do 180 -93 to get the third angle, which is 87. Since x is in an exterior angle, 87+x =180. From there its simple. Subtract 87 on each side and you get x = 93.

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Which of the following statements about length of investment is correct? a. Bonds tend to be better long-term investments than s

Vladimir79 [104]

B) Stocks tend to be better long-term investments than bonds because bonds do not have the same growth potential that stocks do.

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3 years ago

Read 2 more answers

The product of twenty one negative integers is negative? True of false

Arada [10]

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3 years ago

PLS HURRY Use the protector to measure the angle.

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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

Explain the difference between linear, exponential, and quadratic functions in terms of their graphs, their patterns, and their

Kipish [7]

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a

Quadratics are then the solutions to the differential equation

f′′=C

An exponential function is one in the following form.

g(x)=Aekx

It’s rate of change is another exponential function.

g′(x)=Akekx

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

8 0

3 years ago