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3 years ago

9

Point F and G have been plotted on the coordinate plane below.Point G and point H are the same distance from point F.Which coord

inate could be the locationof point H?

1 answer:

dsp733 years ago

6 0

Answer:

C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Here is my answer:

Given that:

Point G (4, 4) and Point F (3, 2)

Point G and H are the same distance from point F

As we can see that the distance from Point G to Point F is 3 units Point F has to be 3 units away from

Point H. (5,1) is the only coordinate that is 3 units away.

We choose C

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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

The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement i

trapecia [35]

Answer: $2514.28\ cm^3$

Step-by-step explanation:

Given

The height of the cylinder is $h=8\ cm$

Circumference of the base is $20\pi \ cm$

suppose 'r' is the radius of the cylinder

$\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm$

The volume of a cylinder is $V=\pi r^2h$

$\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3$

3 0

2 years ago

Please help me solve this.<br> 15x+8=-2+14x

Airida [17]

Answer:

x=-10

Step-by-step explanation:

15x+8=-2+14x

15x-14x=-2-8

x=-10

5 0

3 years ago

Evaluate <br> g(4): g(x)=8x^2+9x-7<br><br> A. 121<br> B. 135<br> C. 154<br> D. 157

inn [45]

The answer is: [D]: " 157" .
________________________________________________________
Explanation:
______________________________________________________

g(x) = 8x² + 9x − 7 ;

g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
= 8(4*4) + 36 <span>− 7 ;
</span>
= 8(16) + 36 <span>− 7 ;
</span>
= 128 + 36 <span>− 7 ;
</span>
= 164 − 7 ;

= <span>157 .</span>
_______________________________________________________
The answer is: [D]: " 157" .
_______________________________________________________

7 0

3 years ago

If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?

Nookie1986 [14]

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

Learn more about speed from here brainly.com/question/10113134

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7 0

1 year ago