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3 years ago

I need to solve (6x-7)^2=-75

Mathematics

2 answers:

Burka [1]3 years ago

8 0

Your answer will be a complex solution

6x-7=75i
6x=7-75i
x=7/6-75/6i

Degger [83]3 years ago

7 0

6x²-7²=-75 would be the answer

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What is the solution of y= -5x + 1 and y= 3x - 2

Nezavi [6.7K]

Answer:

x=3/8, y=-7/8. (3/8, -7/8).

Step-by-step explanation:

y=-5x+1

y=3x-2

----------

-5x+1=3x-2

-5x-3x+1=-2

-8x+1=-2

-8x=-2-1

-8x=-3

8x=3

x=3/8

y=3(3/8)-2=9/8-2=9/8-16/8=-7/8

8 0

3 years ago

Hi! Please help, I'd appreciate it!

Romashka-Z-Leto [24]

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

$4\pi r^2=196\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{49}\\r=7$

The radius is 7 feet.

Volume of sphere = $\frac{4}{3}\pi r^3$

$Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi$

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

#LearnwithBrainly

3 0

3 years ago

Identify the center and the radius of each.<br><br> x^+y^+26x-22y+281=0

inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

$x^2+y^2+26x-22y+281=0$

We compare this to the general equation.

$x^2+y^2+2ax+2by+c=0$

where (-a,-b) is the center.

This implies that;

2a=26

$\Rightarrow a=13$

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

$r=\sqrt{a^2+b^2-c}$

$r=\sqrt{13^2+(-11)^2-281}$

$r=\sqrt{9}$

The radius is 3

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Step-by-step explanation:

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