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3 years ago

Express this in standard form 5.4×10^1

Mathematics

1 answer:

Naily [24]3 years ago

7 0

Well it would just be 54 since you just need to move the decimal over by 1.

So 5.4x10= 54

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Margo is practicing her free throws for basketball

kipiarov [429]

Answer:

Step-by-step explanation:

Well if you think about it, if she has a total of 10 attempts she has to make 8 of them to make it on the team. Now the total attempts is double so we double the number of throws she needs to make in order to make the team so to do this we would do 8*2 which is 16. She needs to make 16 throws to make it on the team.

5 0

2 years ago

3:20pm to 8:00 pm how many hour's is that

Alex

4 hours and 40 minutes

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2 years ago

The scissor lift is a device that can lower and raise a platform. the scissor lift can raise the platform at a rate of 2.0 inche

Svetradugi [14.3K]

Answer:

i thank it is 25 seconds.

Step-by-step explanation:

3 0

3 years ago

Solve the equation using zero-product property

dusya [7]

X=2 or -7(answer choice A)

7 0

3 years ago

Read 2 more answers

Express this in standard form 5.4×10^1​

Express this in standard form 5.4×10^1