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3 years ago

Which graph shows the graph of a circle with equation x^2+(y-4)^2=16

Mathematics

1 answer:

Vinil7 [7]3 years ago

7 0

Answer:

The option on the top left

Step-by-step explanation:

As the equation is $x^2+(y-4)^2=16$

We know that the circle will have a radius of 4 and will be shifted 4 units up

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With full explanation from the internet like before 3x2-6x+5=0

Elodia [21]

Answer:

$\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}$

Explanation:

Given Expression:

3x² - 6x + 5 = 0

Use the Quadratic Formula:

$\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0$

insert coefficients

$\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}$

$\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}$

$\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}$

$\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}$

$\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}$

6 0

2 years ago

Read 2 more answers

Find two numbers whos diffrence is 16 and the product is 720

antiseptic1488 [7]

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

Now to check

36-20=16

20*36=720

8 0

2 years ago

If georgina travels 355 km in 7 hours how far will she travel in 8.5 hours at the same rate

rosijanka [135]

She'll have traveled approximately 431.07 km in 8.5 hours, also, 267.85448 miles per hour.

6 0

3 years ago

Help will give crown

frosja888 [35]

Answer:

This means our slope is equal to $\frac{6}{4}$ .

Step-by-step explanation:

Your ordered pairs are:

(-4, -4) and (0, 2)

To solve for the slope, we must use slope formula.

$\frac{y2-y1}{x2-x1}$

Substitute:

$\frac{2+4}{0+4}$

Solve:

$\frac{6}{4}$

This means our slope is equal to $\frac{6}{4}$ .

Hope this helped. :)

4 0

3 years ago

Read 2 more answers

The espression 4x^2-4x-120 is equivalent to?

Vadim26 [7]

Glad you know how to use the ^ feature :) it helps alot!

Answer: 4(x−6)(x+5)

5 0

3 years ago