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Naddik [55]
2 years ago
7

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

Mathematics
2 answers:
Marizza181 [45]2 years ago
8 0

When a circle is inside of another circle and touch each other as shown there is 1 common tangent ( where they touch).

The answer is C. 1

Mashutka [201]2 years ago
5 0

Answer:

only 1 tangent can drawn to the circle .

Step-by-step explanation:

Given  : Two circle with common one point.

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

Solution : We have given two circle

A tangent to a circle is a straight line which touches the circle at only one point.

We can see both circle are touching at s single point.

By the definition of tangent: A tangent to a circle is a straight line which touches the circle at only one point.

So, only one common point hence only one tangent can be drawn to the circles.

Therefore, only 1 tangent can drawn to the circle .

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Which is the equation of a parabola with vertex (0, 0), that opens to the left and has a focal width of 12?
sattari [20]

Answer:

\text{Equation of parabola is }y^2=-12x

Step-by-step explanation:

We need to find the equation of parabola using given information

  • Vertex: (0,0)
  • Open to the left
  • Focal width = 12

If parabola open left and passes through origin then equation is

y^2=-4ax

Focal width = 12

Focal width passes through focus and focus is mid point of focal width.

Focus of above parabola would be (-a,0)

Passing point on parabola (-a,6) and (-a,-6)

Now we put passing point into equation and solve for a

6^2=-4a(-a)

a=\pm 3

a can't be negative.

Therefore, a=3

Focus: (-3,0)

Equation of parabola:

y^2=-12x

Please see the attachment of parabola.

\text{Thus, Equation of parabola is }y^2=-12x

6 0
2 years ago
Read 2 more answers
The average temperature for four days days was 22 degrees what must the temperature be on the fifth day in order to make 23 degr
galina1969 [7]

Answer:

27 degrees.

Step-by-step explanation:

If the average is to be 23 degrees over 5 days then the total of the temperatures will be 5*23 = 115 degrees.

The total over the first 4 days = 22*4 = 88 degrees, so the temperature on the fifth day has to be 115 - 88 = 27 degrees.

5 0
2 years ago
Alice walks 6/10 mile everyday. How many miles does she walk in 5 days?
Yuki888 [10]
6/10 per day

6/10 x 5 days

6 x 5 = 30

30 / 10 =  3 miles in 5 days
4 0
2 years ago
Suppose the following regression equation was generated from the sample data of 50 cities relating number of cigarette packs sol
frez [133]

Answer:

A) According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Step-by-step explanation:

Given the regression equation:

PACKS i= 57221.431732 − 1423.696906TAXi + 155.441784BARSi + eᵢ.

BARS i= 1 if city i allows smoking in bars

BARSi = 0 if city i does not allow smoking in bars

R2 = 0.351292

P-value = 0.086529

Conlusion:

Simnce p value, 0.0865 is greater than level of significance, 0.05, BARS is not significant. Thus, allowing smoking in bars increase cigarette sales, since the coefficient of BARS is positive.

Correct answer is option A.

According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

4 0
2 years ago
A machine can collate 126 400 page books in 14 days. if it continues to collate at this same rate, how many 400 page books could
beks73 [17]
For this case we can make the following rule of three to solve the problem:
 126 --------> 14
 x -----------> 30
 We clear the value of x:
 x = (30/14) * (126)
 x = 270 400 page books
 Answer:
 
it could collate in 30 days about:
 
x = 270 400 page books
7 0
2 years ago
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