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Step-by-step explanation:

here u go ..ntgs different hope this will too helps ..stay safe

Answer:

1) Use translation to coincide the center of a circle with the center of the other circle.

2) We construct the respective loci for the circles.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Step-by-step explanation:

Geometrically speaking, a circle is formed after knowing its center and radius.

1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):

[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]

[tex]C_{A'} (x,y) = (2,4)[/tex]

2) We construct the respective loci for the circles.

By Analytical Geometric, a circle is represented by the following locus:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where:

[tex]x, y[/tex] - Coordinates of a point of the circunference.

[tex]h, k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Then, the circles A' and B are represented by the following loci:

Circle A'

[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]

Circle B

[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]

Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.

Answer:

D. (-5, -4)

Step-by-step explanation:

When making a rotation 90° clockwise, the coordinates will swap places. However, the x value will be the opposite and the y value will stay the same.

90° clockwise rule:

(x, y) ---> (y, -x)

(4, -5) ---> (-5, -4)

Hope this helps!!

Answer:

4 hours

Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

x = number of hours for renting the bike

Alyssa paid 50 dollars to rent a bike.

How many hours did she pay to have the bike checked out ?

C = 18 + 8x

50 = 18 + 8x

Subtract 18 from both sides

50 - 18 = 18 + 8x - 18

32 = 8x

Divide both sides by 8

32 / 8 = 8x / 8

4 = x

x = 4 hours

Answer:

mCO₂ = 1.188 lb or simply 1.2 lb

Step-by-step explanation:

We need to use the following expression:

E = P * t

Where:

E: Energy in Kwh

P: Power in Watts

t: time in hours.

Applying this, with the given data we have:

E = 150 * 8

E = 1200 watts . h

Converting this value in kW we have:

E = 1200 watts * 1 kW/1000 watts = 1.2 kWh

In general terms, we have 0.99 pounds of CO₂ emissions per kWh, so with the obtained value we have:

mCO₂ = 0.99 * 1.2

Hope this helps

Answer:

30%

Step-by-step explanation:

1,800/6,000 = 0.30 -> 30%

Answer:

30%

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Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

Answer:

Step-by-step explanation:

If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12

The measure of ∠4 is 20° when ∠2 is 70˚

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

An angle is the figure formed by two rays,

The given angle ∠2 = 70°

Complementary angles : A Pair of angles whose sum is 90°

So, Let the complement of ∠A be x

So, ∠2+∠4 = 90°

70°+∠4 = 90°

∠4= 20°

Hence, the measure of ∠4 is 20°

To learn more on Angles click:

https://brainly.com/question/28451077

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Answer:

Step-by-step explanation:

Answer:

Take the coordinates of each vertex (corner point) and subtract 2 from the x-coordinate; leave the y-coordinate alone.

Step-by-step explanation:

Example: If one vertex is the point (5, 3), then it moves left 2 units to (3, 3).

If a vertex is at (-3, 1), then it moves 2 units left to (-5, 1).

Answer:

12

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer:

65 i did it quick, i might be wrong

Step-by-step explanation:

bh/2

10*39/3

390/3

130/2=65

Answer:

7.1

Step-by-step explanation:

Once again we can use trig ratios to solve for ST

First we must recall the trig function

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

We are given the measure of an angle and the length of the hypotenuse

Of the given angle we need to find the adjacent side length

When working with the hypotenuse and adjacent we use trig function cosine

That being said we want to create an equation ( remember cos = adjacent over hypotenuse ) ( let ST = x)

[tex]cos(42)=\frac{x}{9.5}[/tex]

now we solve for x

Step 1 multiply each side by 9.5

[tex]cos(42)*9.5=9.5cos(42)=7.059875842\\\frac{x}{9.5} *9.5=x[/tex]

we're left with x = 7.059875842

Finally we round to the nearest tenth and get that the answer is 7.1

Answer:

$180

Step-by-step explanation:

He earns $9 per hour

we should find how much does he earn for 20 hours

20 × 9

= 180

Answer:

slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Answer

the diameter is 44

Step-by-step explanation:

the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.

Answer:

F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression

Step-by-step explanation:

Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below

lets describe this using the example below :

quadratic expression  : F(x) = ax^2 + bx + c

let the linear factors of  F( x ) = 0

F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression

Answer:

The lateral surface is 212

Step-by-step explanation:

Lateeal surface area is = Ph

12+12+10+10(15)=212

Answer:

m= 5/7

Step-by-step explanation:

y2-y1 / x2-x1

7-2/8-1

5/7

Answer:

1 and 2/3

Step-by-step explanation:

1+1=2 and 2/3 +2/3 = 4/3 so all is 3 and 1/3

Answer:

1 2/3 or 5/3

Step-by-step explanation:

3 1/3=10/3 (10/3)/(2/1)=(10/3)/(1/2)=10/6=5/3 Improper:5/3 Mixed:1/23

Answer:

37) ±√29 - 4

Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.

38) ±√21 - 2

Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2

If you're confused on any part of the explanation, feel free to ask :)

Answer:

x=9

Step-by-step explanation:

You would change it to x^2 = 81 which is 9.

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer:

x = 15

Step-by-step explanation:

Answer:

x<-1

Step-by-step explanation:

I think and hope it helps