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2 years ago

3^x= 3*2^x solve this equation

Mathematics

1 answer:

densk [106]2 years ago

5 0

Answer:

${3}^{x} = 3 \times {2}^{x} \\ x = \frac{ln(3)}{ln(3) -ln(2) } = \frac{1.09}{1.09 - 0.69} \\ x = 2.7$

I hope I helped you^_^

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Please help me with this

swat32

Answer:

The answer is 156.25π or about 490.625

Step-by-step explanation:

To find the area of a circle, you use the formula πr² (pi times radius times radius.) The radius is 12.5, so you plug it in to the equation. Once you plug the radius into the equation, you get π times 12.5 times 12.5. This simplifies to 156.25 times pi. If you want to use 3.14 as pi, the final answer is about 490.625. I hope this helps and that you have an fantastic day!!! Hope you stay safe!!!

6 0

3 years ago

Match the circle equations in general form with their corresponding equations in standard form. Not all will be used.

Xelga [282]

The standard form of the equation of a circumference is given by the following expression:

 $(x-h)^{2}+(y-k)^{2}=r^{2} \\ \\ where \ (h, k) \ is \ the \ center \ of \ the \ circumference \ and \ r \ the \ radius$

On the other hand, the general form is given as follows:

 $x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}$ 

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

 $\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46$

Equations in General Form:

$\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0$

$\bold{6)} \ x^{2}+y^{2}+2x-12y$

So let's match each equation:

$\bold{From \ a)} \\ \\ (h,k)=(6,4),\ r=2\sqrt{14} \\ D=-12, \ E=-8 \\ F=-4$

Then, its general form is:

$x^{2}+y^{2}-12x-8y-4=0$

First. a) matches 5) 

$\bold{From \ b)} \\ \\ (h,k)=(2,-6),\ r=2\sqrt{15} \\ D=-4, \ E=12 \\ F=-20$

Then, its general form is:

$x^{2}+y^{2}-4x+12y-20=0$

Second. b) matches 1) 

$\bold{From \ c)} \\ \\ (h,k)=(-2,-3),\ r=3\sqrt{2} \\ D=4, \ E=6 \\ F=-5$

Then, its general form is:

$x^{2}+y^{2}+4x+6y-5=0$

Third. c) matches 3)

$\bold{From \ d)} \\ \\ (h,k)=(-1,6),\ r=\sqrt{46} \\ D=2, \ E=-12, \ F=-9$

Then, its general form is: $x^{2}+y^{2}+2x-12y-9=0$

Fourth. d) matches 6)

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3 years ago

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S||P FIND VALUE OF Z !

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Please excuse my handwriting lol.

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3 years ago

Which equation could represent the relationship shown in the scatter plot?

KonstantinChe [14]

Choice D : look at where you think the line would be if it followed the direction of the data so that about half of the points fell above the line and half below. The two most important things to note are the slope of the line and y intercept.
This is a negative relationship as the line falls as you read it from left to right. That eliminates choice C. Next, it appears the line of best fit would have a y intercept around 10 on the y axis and then fall down and to the right cutting the data. Note that choices A and B have y intercepts that don't make sense for the data. Choice D does have a y intercept of 10 and a negative slope.

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3 years ago

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Explain what method is used to solve problems involving scale drawings.

Gnesinka [82]

The answer would be A. Use a proportion

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3 years ago