Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other

Step-by-step explanation:

according to pythagoras theorem

Hypotenuse2 = Perpendicular2 + Base2

c2 = a2 + b2

therefore,

x2 = (4)2 + (4)2

x2 = 16 + 16

x2 = 32

x = √32

hence, x = 4√2

Answer:

is it just the slope of those points? if so -3/4

Step-by-step explanation:

i think. if not correct me

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The slope of a line is given by:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, the slope of the line that passes through these points is:

[tex]m=\frac{-10-(-4)}{-12-(-20)}=\frac{-6}{8}=\fbox{$-\frac{3}{4}$}[/tex].

Answer:

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

Step-by-step explanation:

Let Albert's age = x

Bill = x - 2

Claire = x/2

David = 3(x - 2)

Total sum of their ages = 113

x + x - 2 + 0.5x + 3(x - 2) = 113

x + x - 2 + 0.5x + 3x - 6 = 113

x + x + 3x + 0.5x -2 - 6 = 113

5.5x - 8 = 113

5.5x = 113 + 8

5.5x = 121

x = 121 / 5.5

x = 22

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

Let's solve for p.

[tex]y=4x3+4px2+16x−9[/tex]

Step 1: Flip the equation.

[tex]4px2+4x3+16x−9=y[/tex]

Step 2: Add -4x^3 to both sides.

[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]

[tex]4px2+16x−9=−4x3+y[/tex]

Step 3: Add -16x to both sides.

[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]

[tex]4px2−9=−4x3−16x+y[/tex]

Step 4: Add 9 to both sides.

[tex]4px2−9+9=−4x3−16x+y+9[/tex]

[tex]4px2=−4x3−16x+y+9[/tex]

Step 5: Divide both sides by 4x^2.

4px² / 4x² = −4x³ − 16x + y + 9 / 4x²

Answer:

p = −4x³ − 16x + y + 9 / 4x²

Answer:

Answer would most likely be option D. StartFraction S T Over Y X EndFraction

Explanation:

Take care..

Answer:

If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!

Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image

Answer:

Anna: $80

Barry: $100

Step-by-step explanation:

total of 9 shares

each 20 dollars

4(20) = 80

5(20) = 100

Answer:

dobt worry il heñp il solve

Answer:

width = 40 feet, length = 90 feet

Step-by-step explanation:

length = 2w + 10

width = w

Perimeter = 260

Perimeter of rectangle = 2length + 2width

Sub the values into that equation:

260 = 2(2w + 10) + 2(w)

260 = 4w + 20 + 2w

260 = 6w + 20

260 - 20 = 6w

240 = 6w

w = 240/6

w = 40

So now we know the width of the garden is 40 feet.

To find the length, substitute the width into the length equation:

length = 2w + 10

length = 2(40) + 10

length = 90 feet

length = 90 feet, width = 40 feet

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

Answer:

$77

Step-by-step explanation:

i just take 55 x 0.14 which is 7.7 then i moved the decimal 1 place to the right.

Answer:

I believe the answer it 62.70

although I am not completely sure

Step-by-step explanation:

14% of 55 = 7.7

7.7 + 55 = 62.7

= $62.70

Answer:

-1/2

Step-by-step explanation:

according to what I learnt, the general form of every equation is y=mx+c where y is the y value, x is the x value, m is the slope and c is the y-intercept so the equation y-3= -1/2(x - 2) in the general form wil be :

y= -x/2+4 and so m= -x/2 ,that is -1/2

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

Answer:SAME SIGNS 1. Add.

2. Sum is positive if both are positive; negative if both are negative.

  5 + 8 = 13 –5 + (–8) = –13

 DIFFERENT SIGNS

1. Subtract the absolute values.

2. Answer is sign of the integer with the greater absolute value.

   5 + (–8) = –3 –5 + 8 = 3

Find each sum. 1. –4 + (–8)

–12

4. –16 + 11 –5

7. –49 + (–32)

–49 –81 –32 –81

2. 14 + 16 30

5. 28 +(–42) –14

8. 23 + (–23) 0

3. –43 + (–12) –55

6. 75 + (–5) 70

9. 86 + (–18)

86 68–18 68

Integers

Multiplying & Dividing

  RULE

EXAMPLES

 1. Multiply or divide.

2. The answer is positive if the signs are the same (both positive or both negative); negative if the signs are different (one positive and one negative).

  –5 x(–8) = 40 40  4 = 10

 16 x(–3) = –48 –20  10 = –2

Find each product or quotient.

1. –3 x (–8) 24

4. 0 x (–121)

0 5 –13

2. –5 x (–5) 25

3. –15 x 3 –45

  5. –35 (–7)

6. –65  5

  7. 240  (–4) 8. 36  12 9. (–49  7) x 8 –7 x 8

 –60 3

–56

Step-by-step explanation:

Answer: D

Explanation: The bird travels 10 miles to it's nest in minutes

Answer:

its a black picture...?

Step-by-step explanation:

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

Answer:

24.45cm squared

Step-by-step explanation:

(9 x 12) - ((6 x 3.14) / 2)

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

Answer:

answer is length 32 cm breadth 27 cm

plz refer to picture

Answer:

43 - B = x

Step-by-step explanation:

When decreasing, you are subtracting, so the equation for this problem would be 43 minus B equals whatever quantity you were given as a solution.

Answer:

3 Luca , 3 Niklas , 5 Finn , 3 Lena

Step-by-step explanation:

Whale = 1 Whale

1 + 1 + 1 = 3 = Luca

1 + 1 + 1 = 3 = Niklas

1 + 1 + 1 + 1 + 1 = 5 = Finn

1 + 1 + 1 = 3 = Lena

Answer:

80 square feet

Step-by-step explanation:

You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.

Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.

Adding the area of the rectangle and the triangle: 32 + 48 = 80

Not sure why that's not an answer choice, I'm fairly confident it's right.

Answer:

Y= 13,-13

Step-by-step explanation:

Answer:

hope this hlo u

Step-by-step explanation:

range =highest observation-lowest observation

range=10-6

=4

Answer:

x= tm+5/4-t

Step-by-step explanation:

4x-5=t(x+5)

4x-5-=tx+tm   distributive

4x-5-tx=tm    substract tx from both sides

4x-tx=tm+5   add 5 to both sides

x * 4+ x(-t) =tm+5  factor x out 4x-tx

x(4-t)=tm+5   factor x out x*4 + x(-t)

x(4-t)/4-t= tm/4-t+ 5/4-t   divide each term in 4-t

x= tm/4-t + 5/4-t combine the numerators over the common denominator

x=tm+5/4-t

Answer:

First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.

Answer:

The expression in simplified form:

[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{4x^5}{8x}[/tex]

We need to simplify the expression.

Simplifying the expression

[tex]\frac{4x^5}{8x}[/tex]

Cancel the common factor: 4

[tex]=\frac{x^5}{2x}[/tex]

Cancel the common factor

[tex]=\frac{x^4}{2}[/tex]

Therefore, the expression in simplified form:

[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]