Point G is the center of the small circle. Point X is the center of the large circle. Points G, Y, and X are all on line segment GX.
Marco wants to create a new circle using GX as a radius. What will be the area of Marco’s new circle?
10Pi centimeters squared
16Pi centimeters squared
356Pi centimeters squared
676Pi centimeters squared

Answer:

The equation that describes the function is y = -6x-1

Step-by-step explanation:

Firstly we can see that the graph passes through the origin.

The general equation of a starlight line graph is;

y = mx + c

where m is the slope and c is the y-intercept

what’s left now is go find our slope

We need two points for this on the line.

Let’s identify these points;

The identifiable points are; (1,-7) and (-1,5)

So the formula for the slope is;

y2-y1/x2-x1 = (5-(-7))/(-1-1) = 12/-2 = -6

Thus, the equation of the line becomes

y = -6x + c

Looking at the graph again, we can see an obvious y-intercept at the point y = -1

So our intercept is -1

The equation of the line is thus;

y = -6x -1

Answer:

Step-by-step explanation:

The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.

Answer:

The second option.

Step-by-step explanation:

When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).

According to the graph provided, the lines are intersecting at one point: (2, 1).

So, your answer will be the second option!

Hope this helps!

Anwer:3.537m

STEP BY STEP EXPLANATIOND:using SOH CAH TOA

First find the opposite

Represent the opposite with x

Tan 33° =x\10

x=10Tan 33°

x=6.494

To find m

Sin 33°=m\6.494 Sin 33°

m=3.5368

m=3.537meteres

Answer:

105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.

Step-by-step explanation:

We are given that the compound has 6.3 x10^23 atoms of Cl.

To find how many molecules of AuCl3 are in the given compound, we divide the compound by 3, i.e;

[tex]\frac{6.3 \times 10^{23} }{3}[/tex]  =  [tex]2.1\times 10^{23}[/tex] molecules of AuCl3.

Now, as we know that 1 mole of AuCI3 has [tex]6.022 \times 10^{23}[/tex] molecules.

So, the moles that our compound has is given by;

      =  [tex]\frac{2.1 \times 10^{23} }{6.022 \times 10^{23} }[/tex]  = [tex]\frac{2.1}{6.022}[/tex]  = 0.349 mole AuCI3

Also, the molar mass of AuCI3 = 303.33 g/mole

So, the molar mass of 0.349 moles AuCI3 =  [tex]303.33 \times 0.349[/tex]

                                                                      =  105.86 g

Hence, 105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.

Answer:

Option (C)

Step-by-step explanation:

Given expression is 4(x + x + 7) - 2x + 8 - 4

When x = 1,

Value of the expression will be,

= 4(1 + 1 + 7) - 2(1) + 8 - 4

= 4(9) - 2 + 8 - 4

= 36 - 2 + 8 - 4

= 38

For x = 2,

= 4(2 + 2 + 7) -2(2) + 8 - 4

= 44 - 4 + 8 - 4

= 44

Now we will check the same for the given options.

Option (A). For x = 1,

6x + 11 = 6(1) + 11

           = 17

For x = 2,

6x + 11 = 6(2) + 11

          = 23

Option (B). For x = 1,

3(x + 7) = 3(1 + 7)

            = 24

For x = 2,

3(x + 7) = 2(2 + 7)

            = 18

Option (C), x = 1

2(3x + 16) = 2[3(1) + 16]

                = 38

For x = 2,

2(3x + 16) = 2[3(2) + 16]

                = 44

Option (D), For x = 1,

            = 19

For x = 2,

2(3x + 16) = 2[3(2) + 16]

                = 44

Since value of the expression for x = 1 and 2 matches with the value in option (C)

Therefore, Option (C) will be the answer.

Answer:

134-35/16-4 (A)

Step-by-step explanation:

I just know

Answer

A)  134-35/16-4

Step-by-step explanation:

Answer:

4(x+8)

Step-by-step explanation:

4x+32

x+8 in parentheses

and put the 4 on the outside of the parentheses

like this 4(x+8)

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Rewriting

4*x + 4*8

Factor out 4

4(x+8)

Answer:

The probability is 0.2423.

Step-by-step explanation:

Given mean per capita = 19292 dollars

Given the variance = 540225

Now find the probability that the sample mean will be less than 19269 dollar when the sample is 499.

Below is the calculation:

[tex]\bar{X} \sim N(\mu =19292, \ \sigma = \frac{\sqrt{540225}}{\sqrt{499}}) \\\bar{X} \sim N(\mu =19292, \ \sigma = 32.90) \\\text{therefore the probability is:} \\P (\bar{X}< 19269) \\\text{Convert it to standard normal variable.} \\P(Z< \frac{19269-19292}{32.90}) \\P(Z< - 0.6990) \\\text{Now getting the probability from standard normal table}\\P(Z< -0.6990) = 0.2423[/tex]

Answer:

D.

Step-by-step explanation:

Original dimensions:

L = x

W = x

Now we reduce the width by 2 ft and increase the length by 2 ft.

L = x + 2

W = x - 2

The area is the product of the length and width.

A = LW = (x + 2)(x - 2)

The original length and width are 10 ft.

L = W = x = 10

A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96

The new area is 96 sq ft.

Answer: D.

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

Answer:

[tex] \sqrt{9} \times \sqrt{16} [/tex]

Step-by-step explanation:

[tex] \sqrt{9} \times 16 = \sqrt{9} \times \sqrt{16} = 3 \times 4 = 12[/tex]

Hope this helps ;) ❤❤❤

Answer:

sqrt(9) * sqrt(16)

Step-by-step explanation:

sqrt( 9*16)

We know that sqrt(a*b) = sqrt(a) sqrt(b)

sqrt(9) * sqrt(16)

3*4

12

Answer:

x^2+y^2=25

Step-by-step explanation:

x^2+y^2=25 graphs a circle. A relation is a function if every x only has one y value. This is not true in a circle.

Answer:

d) x^2 + y^2 = 25.

Step-by-step explanation:

D is the equation of a circle so it fails the vertical line test for a function. If a relation is a function then any vertical line passing through it's graph will only intersect it once. This is not true of a circle.

Answer:

Time = distance/speed

max distance = 380+10 = 390 m

Max Time = 390/3.9 = 100 s

Answer

260 kilograms

Step-by-step explanation:

the correct answer is 260 kg

Answer: 12.6 kg

Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams

Answer:

151515 not found

Step-by-step explanation:

For every 555 nuts found, 333 are not.  This gives a total of 888.

555 + 333 = 888

Divide the total number of nuts by this number.

404040/888 = 455

Multiply the number that get found and the number that don't by the number calculated above.

555 × 455 = 252525

333 × 455 = 151515

252525 nuts will be found and 151515 will not.

Answer:

15

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The square root of the value 74 will be calculated as below:-

D = √74

D = 8.602325267

D = 8.6

Therefore, the square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

To know more about expression follow

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Answer:

[tex]4 \frac{1}{10}[/tex]

Step-by-step explanation:

=> [tex]\frac{1305}{31828} * 100[/tex]

=> 0.041 * 100

=> 4.1

=> [tex]4 \frac{1}{10}[/tex]

Answer:

Coin A : [tex]V(t)=25(1.07)^t[/tex]

Coin B : [tex]V(t)=40(1.05)^t[/tex]

Step-by-step explanation:

Consider the given formula is  

[tex]V(t)=P(1+r)^t[/tex]

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

[tex]V(t)=25(1+0.07)^t[/tex]

[tex]V(t)=25(1.07)^t[/tex]

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

[tex]V(t)=40(1+0.05)^t[/tex]

[tex]V(t)=40(1.05)^t[/tex]

Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.

Answer:

B.

Step-by-step explanation:

"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.

Hence there will be exactly one solution.

B. The system will have one solution.

The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.

If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.

Learn more about the system of linear equations here: https://brainly.com/question/14323743

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Answer:

1.8 and 14.3

Step-by-step explanation:

Our equation is a quadratic equation so we will use the dicriminant method

Answer:

-3 + 12x

Step-by-step explanation:

3 - 2(-6x + 3)

3 + 12x - 6

-3 + 12 x

Hope this helped! :)

Answer:  [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]

                [tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]

              c) Transformations: reflection over the x-axis,

                                               vertical stretch by a factor of 3/2,

                                               horizontal shift 1 unit to the left,

                                               vertical shift 6 units up

Step-by-step explanation:

Intercept form: y = a(x - p)(x - q)

Vertex form: y = a(x - h)² + k

Standard form: y = ax² + bx + c

We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.

p = -3, q = 1, (x, y) = (-1, 6)

a(-1 + 3)(-1 -1) = 6

       a (2)(-2) = 6

                a  = -6/4

                 a = -3/2

a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

b) Input a = -3/2 into the Intercept form and expand to get the Standard form:

[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]

c) Use the Vertex form to identify the transformations:

[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]

Answer:

y = -[tex]\frac{2}{5}[/tex]x - 1

Step-by-step explanation:

First, we can put the equation into y = mx + b form:

2x + 5y = 10

5y = -2x + 10

y = -[tex]\frac{2}{5}[/tex]x + 2

Now, we know the slope is -[tex]\frac{2}{5}[/tex]. A parallel line will have the same slope.

So, we can plug in the point (-5, 1) into the equation y = -[tex]\frac{2}{5}[/tex]x + b to find b:

1 = -[tex]\frac{2}{5}[/tex](-5) + b

1 = 2 + b

-1 = b

So, the equation will be y = -[tex]\frac{2}{5}[/tex]x - 1

[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.

First, we must find the area of the rectangular driveway.

A = l × w

A = 15.75 × 3

A = 47.25

So, the area of the driveway is 47.25 yd².

Next, we need to multiply the cost of each square yard by the area.

49.75 × 47.25 = 2350.6875

This can be rounded to 2,350.69.

Answer: 7 packages

Step-by-step explanation:

From the question, we are told that a truck is to be filled with packages that weigh 5.8kg. The maximum capacity of the truck is 48000 grams(48kg) and there is a 5500 gram(5.5kg) package already in the truck.

First, we need to subtract 5.5kg from 48kg to know the amount of space left. This will be:

= 48kg - 5.5kg

= 42.5kg

To get the number of 5.8kg packages that can be loaded, we divide 42.5kg by 5.8kg. This will be:

= 42.5kg/5.8kg

= 7.3

= 7 approximately

Therefore, 7 packages will be loaded.

N.B: 1000 grams = 1 kilogram

Answer:

B: (3x + 81)(x - 1)

Step-by-step explanation:

Answer:

let me know when you have the anwser

Step-by-step explanation: