The functions f (x) = 1/2x-3 and g(x) = -2x+ 2 intersect
at x = -2. True or false?

The area of the larger circle is 81π square units.

Congruent circles are circles that are similar in pattern.

The formula for calculating the area of a circle is expressed as:

[tex]A = \dfrac{\pi d^2}{4}[/tex]

Given that the area of each of the small circles is 9π, then:

[tex]9 \pi =\frac{\pi d^2}{4}\\9 = \frac{d^2}{4}\\d^2=9*4\\d^2=36\\d=\sqrt{36}\\d=6units[/tex]

This shows that the diameter of one of the small circles is 6units.

Since the diameter of the three circles will be equivalent to the diameter of the larger circle, hence;

Diameter of the larger circle = 3(6) = 18units

Get the area of the larger circle:

[tex]A=\frac{\pi D^2}{4}\\A=\frac{\pi \times 18^2}{4}\\A =\frac{324\pi}{4}\\A= 81\pi[/tex]

Hence the area of the larger circle is 81π square units.

Learn more on the area of circles here: https://brainly.com/question/12298717

Answer:

13

5 - -8

When you subtract a negative number it changes to an addition so 5- -8 becomes 5 + 8 which equals 13.

9514 1404 393

Answer:

  (a)  M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

  slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

  M = 0.25n +100

angle G

sin inverse (21/29) = 46.4

GH

c^2 - b^2 = a^2

29^2 - 21^2 = a^2

a = √(29^2 - 21^2)

GH = 20

therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20

Answer:

They look similar

Step-by-step explanation:

hey bro can get the diagram

Answer:

where is the diagram plz show the diagram

Step-by-step explanation:

Answer:

[tex] \frac{ \sqrt{3} }{3} [/tex]

Step-by-step explanation:

[tex]\frac{1}{3} \div \sqrt{3} [/tex]

Answer:

Step-by-step explanation:

A) 26*26*26 =17576

B)26*25*24=15600

C)26*26=676

D) 26

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

Answer:

55

Step-by-step explanation:

Any number that's ends with the digit 0 or 5 is divisible by 5.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) 55

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Option A:}}\\\\108/5 = 21.6\\\\\boxed{\text{Option B:}}\\\\109/5 = 21.8\\\\\boxed{\text{Option C:}}\\\\69/5 = 13.8\\\\\boxed{\text{Option D:}}\\\\55/5 = \boxed{11}[/tex]

⸻⸻⸻⸻

55 is divisible by 5. You can also tell that it is divisible because it's last place digit is a '5'.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=4

Step-by-step explanation:

log5(x+1)=1, (x+1)=5, x=4

Answer:

x= -6

Step-by-step explanation:

i got it wrong and the answer is -6

Answer:

3rd option

[tex]A) \frac{4-2}{2-1} =2[/tex]

[tex]B)\frac{1-0.5}{4-2} =0.25[/tex]

[tex]C)>2[/tex]

[tex]D) 1[/tex]

~OAmalOHopeO

Answer:

The third one is your answer

Answer:

Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins......., 5 coins............,  .........10 coins.......

If there are no fakes at all, the total weight should be: 550 grams.

If the weight is 545 grams, there would be 5 fakes, and so the fake bag would be Bag 5. (because there is a 5 gram difference)

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

D.

Step-by-step explanation:

First, simply the inequality.

[tex]11\leq 2x+5\leq 15\\6\leq 2x\leq 10\\3\leq x\leq 5[/tex]

Based on the simplified inequality, you are looking for a line with closed points on 3 and 5. Therefore, the answer is D.

Let the number be x

ATQ

[tex]\\ \sf\longmapsto 5x+6=2x-3[/tex]

[tex]\\ \sf\longmapsto 5x-2x=-3-6[/tex]

[tex]\\ \sf\longmapsto 3x=-9[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-9}{3}[/tex]

[tex]\\ \sf\longmapsto x=-3[/tex]

Answer:

A,D,E,F

1,4.5,6

The experimental units are subjects.

There are three treatments.

One treatment is a circuit training class.

The factor is the type of class.

ED2021

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

the answer is on the photo

Answer:

the answer to this equation is c (10)

[tex]\boxed{\sf t_n=7n+4}[/tex]

[tex]\\ \sf\longmapsto t_5=7(5)+4[/tex]

[tex]\\ \sf\longmapsto t_5=35+4[/tex]

[tex]\\ \sf\longmapsto t_5=39[/tex]

Answer:

x=3

Step-by-step explanation:

2x+1=7

2x=7-1

2x=6

x=6/2

x=3

Answer:

Solution,

2x + 1=7

or 2x = 7 - 1

or, 2x= 6

or, x = 6

2

or, x = 3

.:. x = 3

Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.

• It is mostly used to find the census, which is maths.

• It is used to find interest rates and other banking terms using statistics, which is again related to math.

• It is also used to find the average people living in a village or panchayat, which is also math.

Therefore I strongly believe that Statistics is Maths.

Thank You!

The perimeter of the swimming pool is 15m

A swimming pool is rectangular in nature. The perimeter of the rectangular pool is expressed using the formula;

[tex]P=2(L+W)[/tex]

Given that

Length L = 4.5m

Width W = 3m

Get the perimeter

[tex]Perimeter = 2(4.5+3)\\Perimeter = 2(7.5)\\Perimeter = 15m[/tex]

Hence the perimeter of the pool is 15m

1.1.4 Rate is defined as the ratio between two quantities with a different unit. Examples of rates are;

The ratio is simply defined as the ordered pair between two variables x and y, For instance,

Learn more on ratio and rate here: https://brainly.com/question/24325733

Answer:

14 nickels

Step-by-step explanation:

One nickel is worth 5 cents, so find the value of 14 nickels by multiplying 14 by 5:

14(5)

= 70

So, 14 nickels is equal to the 70 cents that she has in her purse.

The correct answer is 14 nickels.

Answer:

(-4,8)

Step-by-step explanation:

The solution to the system is where the lines intersect

The lines intersect at x=-4 , y = 8

(-4,8)

Answer:

15÷39

Step-by-step explanation:

I hope it will help you

cos x = adjacent÷ hypotenuse

cos x =15÷39

cos x = 5÷13

Answer:

Simply because x=y2 doesn't imply that y=

√

x

.