Which is an equation for the circle with center (-3 , 1) with a radius of 3?

A. (x−3) 2+(y+1) 2=3

B. (x+3) 2+(y−1) 2=3

C. (x+3) 2+(y−1) 2=9

D. (x−3) 2+(y+1) 2=9

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

a. Semester 1: 86.8, Semester 2: 87

b. Semester 1: 5.7, Semester 2: 6.3

c. Semester 1 because the standard deviation of the first semester was lower than of the second. This shows that his scores were closer to the mean and therefore he was more consistent.

Step-by-step explanation: Find the mean by taking the sum of the values for each semester and divide that sum by the number of values to find the average. Do this for both semesters. Now, find the absolute value of the difference between the mean and each value of the corresponding data set. Square each if those differences and sum them up. Now divide that sum by the number of data values and take the square root. This number is your standard deviation. You will use the standard deviations to make the comparison for part c. I hope this makes sense and helps!!!!

Answer:

(3d+3) + (3d+3)

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

please mark me as brainliest

x= -1/2 is the answer to your question. Mark as brainliest!!!!

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

Answer:

x = 88

Step-by-step explanation:

Becuase this is a quadrilateral,  the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88

hope this helps

Answer:

i donot know appp lado app

Answer:

C : VALID

Step-by-step explanation:

Answer:

124 cm²

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Split it into 2 shapes. I chose 2 rectangles 6 by 14 and 5 by 8. then I just found those areas and added it together

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.

Answer:

Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.

Step-by-step explanation:

2 × 5 = 10

3 × 5 = 15

5 × 5 = 25

Answer:

Step-by-step explanation:

Chords having equal measures are equidistant from the center of the circle.

Since, VW = XY

Therefore, ZP = ZR = 15 units

A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.

VR = WR = 20 units

By applying Pythagoras theorem in ΔZRV,

ZV² = ZR² + VR²

ZV² = (15)² + (20)²

ZV = √(225 + 400)

ZV = √625

ZV = 25 units

Therefore, measure of radius ZV = 25 units.

VW = XY [Given]

Therefore, XY = 2(20)

                        = 40 units

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

-37 / 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]1+\frac{1}{4}\leq 1[/tex]

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

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{4}+1\leq 1[/tex]

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

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

Yes.

Step-by-step explanation:

A rational number is a number that is a result when you divide two integers.

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest