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Sati [7]
3 years ago
11

What is the total number of common tangents that can be drawn to the circles

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

A. 0

Step-by-step explanation:

The circles are concentric. I.e there is no point where the circumferences of both circles ever touch each other. Hence there can be no tangent line possible that can be common to both circles at the same time.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write and solve an equa
MariettaO [177]

Answer:

<u><em>Steven is 15 and one half years old now</em></u>

Step-by-step explanation:

<u />

Linear equations

Sometimes we need to know the value of a variable in a given equation and that variable is given as a polynomial of degree 1. Solving for that variable means isolating it and replacing the other known values

Steven was 7 years old eight and one-half years ago. If we call x as the actual age of Steven, his age eight and one-half years ago was

x-8\frac{1}{2}

We know he was 7 years old then, so

x-8\frac{1}{2}=7

We need to know his actual age, so let's solve for x, adding 8\frac{1}{2} to each side of the equation

x-8\frac{1}{2}+8\frac{1}{2}=7+8\frac{1}{2}

Simplifying

x=15\frac{1}{2}

Steven is 15 and one half years old now

7 0
3 years ago
What is the sales tax on sunglasses if
earnstyle [38]

Answer: God

Step-by-step explanation: LORD HAVE MERCY

4 0
2 years ago
When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.
Reil [10]

Answer:

-3°F

Step-by-step explanation:

6 - 9 =  -3°F

4 0
3 years ago
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

Using synth. div. to check whether or not 7/2 is a root:

         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

7 0
3 years ago
Read 2 more answers
A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function
Greeley [361]

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

6 0
3 years ago
Read 2 more answers
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