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3 years ago

What is the x-intercept of the line in the equation 4x+2y=12

Mathematics

2 answers:

EastWind [94]3 years ago

4 0

I think that x=2 and so does y=2. Hope that answers your question.hope this helps:D

Fynjy0 [20]3 years ago

3 0

I think that x=2 and so does y=2. Hope that answers your question.

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Convert to the given unit.

andreev551 [17]

C.7000
1km=1000
1000*7=7000

4 0

3 years ago

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Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c

olya-2409 [2.1K]

Answer:

$f(n)=64(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

$r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}$

$r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}$

$r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}$

It is a geometric series because it has a common ratio $r_1=r_2=r_3=\dfrac{1}{4}$ .

First term is 64.

The explicit formula of a geometric series is

$f(n)=ar^{n-1}$

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

$f(n)=64(\frac{1}{4})^{n-1}$

Therefore, the required explicit formula is $f(n)=64(\frac{1}{4})^{n-1}$ .

5 0

3 years ago

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An isosceles right triangle is a right triangle with congruent legs. if the length of each leg is represented by x, what algebra

Marina CMI [18]

By the Pythagoras theorem:-

h^2 = x^2 + x^2
(where h = hypotenuse)

h^2 = 2x^2

h = sqrt2 x

8 0

3 years ago

3 less than or equal to y -2

Llana [10]

Answer:

5 is less than or equal to y

Step-by-step explanation:

3<=y-2

3+2<=y

5<=y

where <= means less than or equal to

4 0

3 years ago

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

3 years ago