Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?



3
1
2

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

Answer:

271.433606 (in, cm, or whichever unit)

Step-by-step explanation:

To find the areas of the ends of the cylinder, the circles, you would use the formula:

2(π * r²)

The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.

2(π * 5.4²) = 183.217684

To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.

Then add the areas to find the total.

183.217684 + 88.2159218 = 271.433606

Answer:

X = b(r - a)

Step-by-step explanation:

b/x = r - a

X = b( r - a)

Answer:

8$

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Answer:

false

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

Answer:

b is the answer because I don't know what to do with it and

Answer:

610

Step-by-step explanation:

Multiply the monthly $40 by the 9 months

(40 times 9 = 360)

Then you would need to add in the original $250 deposit money

(360 + 250 = 610)

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

(x -4)² - (x - 4)(x +3) = 35

x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35

x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35

x² - 8x +16 - [ x² -x - 12] = 35

x² - 8x + 16 -x² + x + 12 = 35

x² - x² - 8x + x  + 16 + 12 = 35   {Combine like terms}

-7x + 28 = 35

-7x = 35 -28

-7x = 7

x = 7/-7

x = -1

Answer:

6973 t u 6hud3w. don't knoow

Answer:

the answer is 11x+14

Step-by-step explanation:

 (h[tex]2[/tex] b[tex]\2[/tex])/2

Answer:

9.09

Step-by-step explanation:

Pythagorean Theorem: a² + b²  =  c²

When looking at the triangle we see that we have the hypotenuse and the opposite side.

a = opposite

b = adjacent

c = hypotenuse (always)

So if we plug those numbers into the equation we can get the missing side length

1) a² + b²  =  c²

2) 9.7² + b² = 13.3²

3) b² = 13.3² - 9.7²

4) b² = 176.89 - 94.09

5) b = [tex]\sqrt{176.89 - 94.09}[/tex]

6) b = 9.093954036

Now we round to nearest hundredth

To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,

b = 9.09

Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

Answer:

Step-by-step explanation:

The square root of 93 is approximately 9.64.

Answer:

Step-by-step explanation:

We need to estimate √93.

Use formula below:

or

In the given case the formula works as:

or

Answer:

the answer would be 14-16=-2

Step-by-step explanation:

first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab +b²

(x - 7)² =x² - 2* x * 7 + 7²

            = x² - 14x + 49

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

So, the slope is -3/5, and the y axis is unidentified.

A point is located at (6,-5). We will use this point.

In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.

We will also use 6 from the point to give us a dot in the x-coordinate.

We will then divide 5 from the 6 to give us how much we have to go up or down

6/5

We will then use the -3 in the slope.

We will times -3 to the 6/5 in order to know how much we have go up or down.

-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)

y = -3/5x + 1 2/5

The y = 13, we will plug it in the equation.

13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)

11 3/5 = -3/5x (times 5 on both sides)

-3x = 58 (divide -3 on both sides)

x = -58/3

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

Answer:

4x-5

Step-by-step explanation:

the answer is 4x-5 as we apply multiplication and subtraction

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.

For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).

C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).

A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Answer:

a:c= 3/5 = 0.6

a:b:c= 3/4/5=0.15

Answer: $48

Step-by-step explanation:

132 - 84 = 48

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28