Write an equation of the circle whose radius is 3 and whose center is (-1,6).

Answer:

x-value is 4

Step-by-step explanation:

2x-3y=-1

3x+4y=24

We can solve the equation by eliminating y

We multiply the first equation by 4 and the second by 3

4(2x-3y=-1 )

3(3x+4y=24)

8x -12y = -4

9x +12y = 72

Then we add the two equations;

8x -12y = -4

9x +12y = 72

17x = 68

  x = 4

Thus the x-value is 4

Step-by-step explanation:

okay. The sequence is 2 6 18 54 162

Divide 6 by 2 to get 3. Divide 18 by 6 to get 3.

The pattern is that the next number will always be the previous number times 3.

So if you keep going,

2

6

18

54

162

486

1458

4374

13122

39366

118098

354294

1062882

3188646

9565938

28697814 is the 16th term

Hey there!

The sequence is multiplying by 3...

1) 2

2) 6

3) 18

4) 54

5) 162

6) 486

7) 1,458

8) 4,374

9) 13,122

10) 39,366

11) 118,098

12) 354,294

13) 1,062,882

14) 3,188,646

15) 9,565,938

16) 286,978,14

The 16th term is 286,978,14

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

(x - 5)² + (y + 2)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (5, - 2) and r = 3, thus

(x - 5)² + (y - (- 2))² = 3², that is

(x - 5)² + (y + 2)² = 9 ← equation of circle

Answer:

10,648

Step-by-step explanation:

The total number of residents is 24,200.

The probability that a resident is from the central region is 0.44.

To find the number of residents in the central region, we multiply the corresponding probability by the total number of residents.

The number of people who live in the central region is

[tex]=0.44\times 24,200[/tex]

[tex]=10,648[/tex]

Answer:

The Answer is A. 3y=2

Step-by-step explanation:

1) combine like terms

7y + 7 = 9 + 2y + 2y

7y +7 = 9 + 4y

Subtract 4y on both sides

3y +7 = 9

Subtract 7 on both sides

3y = 2 because 9 - 7 = 2

That my work and Answer

Hope this helps!

Answer:

The Answer is A.

I did the work.

Answer:

Draw a line. Label one endpoint M and the other P. Go half way between the two and label it O.

34z = 36z - 7

MO = 119

Step-by-step explanation:

A line segment with a midpoint means the segment has been divided into two equal segments. This means each segment is equal to the other OM = OP.

You can solve for z by setting them equal to each other.

34z = 36z - 7

-2z = -7

z = 7/2

To find MO, substitute z = 7/2 into the equation OM = 34z.

OM = 34(7/2) = 238/2 = 119

Answer:

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

Answer: square root of 3/2 seconds

Step-by-step explanation:

h=-16x²+24

Set the height to be 0

0=-16x²+24

-24=-16x²

24=16x²

24/16=x²

x²=3/2

x= square root of 3/2

you have to set the equation equal to 0 to represent when it hits the ground

0=-16x²+24

-24=-16x²

-24/16=x² --> -3/2=x²

x=-1.22474

I would have to say b cuz 2 is the y intercept x is gernraly the slope

Answer: It's B.

Step-by-step explanation: I just did the quiz

#LarryStylinson  #SolbyGolbach

^^

D is an irrational number because it equals 0.577350269

Answer:

D

Step-by-step explanation:

the square root of 9/27 will equal to square root of 3 over 3.

A will simplify to 2/3.

B will simplify to 1/3.

C will simplify to 3/4.

As long as the number has a square root somewhere in the final answer, it will be irrational.

Answer:

y = -x - 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think 1. 5/10

2. 3/10

3. 9/10

Answer:

I wanna say that the answer is D p(x) = 8x + 20

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2x−17)+4=−3(3+x)

4x+−34+4=−9+−3x  {distribute}

4x+−30=−3x−9   {combine like terms}

Step 2: Add 3x to both sides.

4x−30+3x=−3x−9+3x

7x−30=−9

Step 3: Add 30 to both sides.

7x−30+30=−9+30

7x=21

Step 4: Divide both sides by 7.

7x/7=21/7

x=3

4x - 3x = -9 + 30 2 (2x - 17) + 4 = -3 (3 + x)

So, we are going to DISTRIBUTE

Lets work on the left side of the equation first

Multiply 2 on the out side of the parenthesis by what is on the inside

2 x  2x = 4x

2 x  -17 = -34

So on the left side we now have

4x - 34 + 4

add 4

4x - 30

Let's do the same thing on the other side

-3  x  3 = -9

-3 x  X = 3x

Now let's put everything together

4x - 30 = -9 + 3x

COMBINE LIKE TERMS

x = 21

comment if you have any questions! Hope I helped :)

Answer:

17 1/2 or 17.5

Step-by-step explanation:

35/100×50

35/2=17 1/2 or 17.5

Answer:

Part a) [tex]114.3\ yd^{2}[/tex]

Part b) [tex]49.5\ yd^{2}[/tex]

Step-by-step explanation:

Part a) we know that

The area of the shaded figure is equal to the area of semicircle plus the area of a triangle

Find the area of semicircle

The area of a semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\frac{1}{2}\pi (5)^{2}=12.5 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=15\ yd[/tex]

[tex]h=5(2)=10\ yd[/tex] -----> the height of triangle is equal to the diameter of semicircle

substitute

[tex]A=\frac{1}{2}(15)(10)=75\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]12.5 \pi\ yd^{2}+75\ yd^{2}=(12.5 \pi+75)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](12.5(3.14)+75)=114.3\ yd^{2}[/tex]

Part b) we know that

The area of the shaded figure is equal to the area of the triangle minus the area of the circle

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=5\ yd[/tex]

substitute

[tex]A=\pi (5)^{2}=25 \pi\ yd^{2}[/tex]

Find the area of triangle

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=16\ yd[/tex]

[tex]h=16\ yd[/tex]

substitute

[tex]A=\frac{1}{2}(16)(16)=128\ yd^{2}[/tex]

Find the area of the shaded figure

[tex]128\ yd^{2}-25 \pi\ yd^{2}=(128-25 \pi)\ yd^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex](128-25(3.14))=49.5\ yd^{2}[/tex]

a) The area of the shaded figure [tex]114.3yd^{2}[/tex]

b) The area of the shaded figure=[tex]49.5yd^{2}[/tex]

Part a) The area of the shaded figure= (the area of semicircle)+ (the area of a triangle)

Area of semicircle= [tex]A=\frac{\pi r^{2} }{2}[/tex] where r = radius = 5

[tex]A=\frac{\pi 5^{2} }{2} =39.3 yd^{2}[/tex]

The area of the triangle= [tex]\frac{1}{2} base *height[/tex]

base = 15

height=10

The area of the triangle= [tex]\frac{1}{2}*15 *10 =75 yd^{2}[/tex]

The  area of the shaded figure=39.3+75= [tex]114.3yd^{2}[/tex]

Part b) The area of the shaded figure =( the area of the triangle) -(area of the circle)

The area of the triangle=[tex]\frac{1}{2} base *height[/tex]

base and height = 16

Area=[tex]\frac{1}{2} *16*16=128yd^{2}[/tex]

The area of the circle=[tex]\pi r^{2} =3.142*5^{2} = 78.55 yd^{2}[/tex]

[tex]128 yd^{2} -78.55 yd^{2} =49.5yd^{2}[/tex]

Learn more about angle at

https://brainly.com/question/25716982

#SPJ3

Answer:

9

Step-by-step explanation:

commutative prop of multiplication

The equation 6*1=6 is an illustration of the Identity Property of Multiplication which states that any number multiplied by 1 yields the original number.

The question is asking about the mathematical property illustrated by the equation 6*1=6. In this case, the answer is the Identity Property of Multiplication. The Identity Property of Multiplication states that any number multiplied by 1 will result in the original number. In other words, 1 is the identity for multiplication because multiplying any number by 1 does not change the number's value. Hence, 6*1 still yields 6, validating this property.

https://brainly.com/question/514731

#SPJ12

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

[tex]y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)[/tex]

Answer; Carlos would be 72 inches tall

Step-by-step explanation:

because 1 foot = 12 inches . and he is 6 feet tall so 12 x 6 = 72 !

Hey there!

All we need to do is multiply 6 by 12

6 * 12 = 72

Therefore, Carlos is 72 inches tall

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:9%

Step-by-step explanation:

Answer:

It is a complex number.

Composed by imaginarium number and real =)

Best regards

Hey there! :)

The number 2i-7 is an imaginary number.

i represents an imaginary value, so therefore, it is imaginary and is considered a speculative number.

Often it represents a value that mathematical rules wouldn't allow, it wouldn't be able to be calculated.

I hope this helps!

~kaikers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.75 × 10^−3

7.75 x 10^-3 in standard notation is 0.775

30 of 2% is what

30 • 2% = ______

30 • 2/100 = ______

60/100 = ______

6/10 = 3/5

30 grams of 2% is 3/5

//Hope this helps.

[tex]\text{Hey there!}[/tex]

[tex]\text{30 grams of 2\% is what?}[/tex]

[tex]\text{The word \underline{OF} means MULTIPLY in mathematical terms}[/tex]

[tex]\text{So, now that we got that portion out of the way, let's solve for your answer, shall we?}[/tex]

[tex]\text{30 grams}\times\text{2\%}[/tex]

[tex]\text{30}\times\text{2\%}[/tex]

[tex]\frac{2\%}{100}=0.02[/tex]

[tex]\text{30}\times\text{0.02}[/tex]

[tex]{\text{Thus, the answer should be: \bf{0.6}}\bf{ \ or\ \frac{3}{5}}[/tex]

[tex]\text{Good luck on your  assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

3.5

Step-by-step explanation:

we can do proportions

12/16 = 10.5/4x

cross multiply

x = 3.5

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

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

In this problem we have

[tex]z=\frac{1}{2}[/tex]

substitute

[tex](\frac{1}{2})^{2} =\frac{x}{y}[/tex]

[tex](\frac{1}{4}) =\frac{x}{y}[/tex]

[tex]x=\frac{1}{4}y[/tex]

therefore

Polygon q’s area is one fourth of polygon p’s area

Answer:

1/4 the area

Step-by-step explanation:

Hope this helps!

Answer:

Option D. two complex roots

Step-by-step explanation:

we know that

In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] the discriminant D is equal to

[tex]D=(b^{2}-4ac)[/tex]

in this problem we have

[tex]3x^{2} -2x+1=0[/tex]  

so

[tex]a=3\\b=-2\\c=1[/tex]

substitute the values

[tex]D=(-2^{2}-4(3)(1))[/tex]

[tex]D=(4-12)[/tex]

[tex]D=-8[/tex]

The discriminant is negative

therefore

The quadratic equation has two complex roots

Final answer:

The equation 3x² - 2x + 1 = 0 has a negative discriminant of -8, indicating that it does not have real roots but instead has two complex roots.Therefore, the correct answer is D. two complex roots.

Explanation:

To determine the nature of the roots for the equation 3x²- 2x + 1 = 0, we need to calculate the discriminant, which is given by b² - 4ac. Here, a = 3, b = -2, and c = 1. Substituting these values into the discriminant formula gives us (-2)² - 4(3)(1) = 4 - 12 = -8. Since the discriminant is negative, the equation does not have real roots. Instead, it has two complex roots.

Therefore, the correct answer is D. two complex roots.

Answer:

$90.00

Step-by-step explanation:

Sale discount

$150.00 × .25 = $37.50

Sale price

$150.00 − $37.50 = $112.50

Coupon discount

$112.50 × .20 = $22.50

Total

$112.50 − $22.50 = $90.00

Answer:

You lose

Step-by-step explanation:

Good day sir

Step-by-step explanation:

Create an equation such that x equals the decimal number.

Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.

Subtract the second equation from the first equation.

Solve for x.

Reduce the fraction.

Answer:

45 minutes have passed

Step-by-step explanation:

1 degree = 1 minute