The image shows a circle with center (4,6) and radius 10 units.

The Image Shows A Circle With Center (4,6) And Radius 10 Units.

Answers

Answer 1

Answer:

A, B, D, E

Step-by-step explanation:

Every point is on the circle except for the middle one

Answer 2

The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.

What is the equation of a circle?

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,

(x - 4)² + (y - 6)² = 10²

(x - 4)² + (y - 6)² = 100             .......1

Substitute (-4, 12) in equation 1, then we have

(-4 - 4)² + (12 - 6)² = 100

100 = 100

Substitute (-6, 6) in equation 1, then we have

(-6 - 4)² + (6 - 6)² = 100

100 = 100

Substitute (13, 10) in equation 1, then we have

(13 - 4)² + (10 - 6)² = 100

97 ≠ 100

Substitute (-4, 12) in equation 1, then we have

(4 - 4)² + (16 - 6)² = 100

100 = 100

If the equation is satisfied, then the point lies on the circle.

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Related Questions

Please help. Will mark brainlyest!

Answers

Answer:

last one

Step-by-step explanation:

Answer:

(-3,-2)

Step-by-step explanation:

(x,y)

Your medical research team is investigating the standard deviation of the cost of a 30-day-supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is less than $23. You want to support this claim. How would you write the null and alternative hypothesis?

Answers

Considering the situation described, the hypothesis tested are given as follows:

The null hypothesis is [tex]H_0: \sigma \geq 23[/tex]The alternative hypothesis is [tex]H_1: \sigma < 23[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

[tex]H_0: \sigma \geq 23[/tex]

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

[tex]H_1: \sigma < 23[/tex]

More can be learned about an hypothesis test at https://brainly.com/question/26454209

Many manufacturers reduce the size of their products to appear to reduce their prices.

The amount of cereal in a particular brand box was reduced by 2.1 ounces. This is a 14% reduction from the original amount. What was the original amount?

The original amount was
ounces.

Answers

Answer:

2.44 ounces

Step-by-step explanation:

100% - 14% = 86%

2.1 ÷ 0.86 = 2.44  

Which relation is a function?

Answers

Answer:

The bottom left one

Step-by-step explanation:

They are the only graph that has one output for each x value

Which Line is Perpendicular to y= -1/4x - 8?
A) y=-4x+5
B) y=-1/4x-3
C) y=1/4x
D) y=4x+2

Answers

Answer:

D

Step-by-step explanation:

For two lines to be perpendicular, their gradients must have a product of -1The only one that fits this is D

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

[tex]4 * \dfrac{-1}{4}=-1[/tex]

which situation is the best for the equation 3x=288

Answers

Answer:

The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable

Step-by-step explanation:

=> 3x/3=288/3

=> x = 96

Step-by-step explanation:

Step 1:  Determine a situation best for the equation

We walk into the store and see an amazing drone and the store has 3 of them.  The total price for them is 288 dollars.  Determine the individual price of each drone.

Hope this helps!

A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?

Answers

Answer:

301.6 cubic meters

Step-by-step explanation:

cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description. 

Volume Formula

A circular cylinder has a volume of [tex]V=\pi r^2h[/tex]. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.

Solving for Volume

To solve plug the values into the formula and rewrite the equation.

[tex]V=\pi *4^2*6[/tex]

Next, apply the exponents.

[tex]V=\pi *16*6[/tex]

Then, multiply the constants.

[tex]V=\pi *96[/tex]

Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.

[tex]V=301.6[/tex]

Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.

10( 7+6s) its distributing

Answers

Answer:

10(7 + 6s) = 70 + 60s

Step-by-step explanation:

10(7 + 6s)

Distribute the 10 in the parenthesis. When distributing, multiply the number by every term in the parenthesis.

10 * 7 + 10 * 6s

Multiply.

70 + 60s

Answer:

10(7)+10(6s) which equals 70+60s

Find the median of the data. 1, 8, 9, 2, –7, –5

Answers

Answer:

5.5

Step-by-step explanation:

firrst arrange them from least to greatest:

1,8,9,2,-5,-7

then cross out each side one by one until its in the middle

which leaves with 9 and 2

add both together

and get 11

divide by 2 which is 5.5

What type of error occurs if you fail to reject h0 when, in fact, it is not true?.

Answers

The type of error that occurs  if you fail to reject h0 when, in fact, it is not true is a type 2 error.

What is a type 2 error?

Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.

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Four friends each flipped a coin different numbers of times. Alice got heads 75% of time.Mary got heads 8 out of 10 times. Sarah got heads 17 out of 20 times. Ellen got heads 3 5 of the time.
who had the greatest percentage of heads?

Answers

Alice got heads 15/20 times because 75%.
Mary got heads 16/20 times so 80%
Sarah got heads 17/20 times so 85%
Ellen got heads 15/20 times so 75%
Sarah had the highest percent
You had to make all of the numbers factor into 20 so that they are all equal and you can get the percent easiest.

I FARTED HEHE

Step-by-step explanation:

IM 54

If x = 10, which equation is true?


A 3 ( 20 - x) = 44

B3 ( 12 - x ) = 6

C2 x + 3 = 25

D2 x - 3 = 22

Answers

Answer:

B

Step-by-step explanation:

[tex]3(12-10)=3\cdot 2 = 6[/tex]

What is the perimeter of triangle ron? 10.0 units 15.0 units 18.7 units 23.7 units

Answers

The perimeter of the triangle RON is the sum of the side lengths

The perimeter of the triangle is 15 units

How to determine the perimeter of triangle?

From the question, we have:

ON = 5 units

Side lengths ON and OR are radii of the circle O.

So, we have:

OR = ON = 5 units

The chord RN has a length of 5 units.

So, the perimeter of the triangle is:

P = OR + ON + RN

This gives

P = 5 + 5 + 5

Evaluate

P = 15 units

Hence, the perimeter of the triangle is 15 units

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Answer:

RON = 15.0

Step-by-step explanation:

Just did the test and got it right.

But question was I the only one who thought of Ron Weasley

Which expression is equivalent to 27/125?

Answers

Answer:

27/125

Step-by-step explanation:

Clearly, 27 and 125 are perfect cubes as:

27 = 3 × 3 × 3125 = 5 × 5 × 5

Thus, this can be written as:

⇒ 27/125⇒ 3 × 3 × 3/5 × 5 × 5⇒ (3/5)³

Given options:

a)  (3/5)³b)  3/(5³)c)  (3/4)²d) (3³/5⁵)

Choice A

HERES A HARD ONE, is Annie ok?

Answers

Answer:

Her mistake is that she should plot the point (0, 5) first, not (1, -3)

Step-by-step explanation:

First I simplified the equation given.

y - 3 = 2 (x + 1)

y - 3 = 2x + 2

  +3         +3

y = 2x + 5

Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.

Hope this helps!

Which shape will result from taking a cross section of the tetrahedron through the points shown?

triangle
square
trapezoid
pentagon

Answers

Answer:

the anwer is a triangle as it is shown below.

Why is this equation: [tex]\frac{(x-2)^{2}}{24} + \frac{(y+5)^{2}}{29}=1[/tex] an ellipse and not a circle?

Usually, you can tell if it's an ellipse because the coefficients of x and y are different. Here, though, they're the same, yet every website is telling me it's an ellipse and not a circle. Why is that?


THANKS!

Answers

well, your observation is correct, for the form

Ax² + Bx + Cy² + Dy  + E = 0

if the coefficients are the of x² and y² are different and the same sign then we have an ellipse, hmmm I usually see a circle as an ellipse with equal major and minor axes, because is basically just that.

However, the rational form you have is that of an ellipse indeed, we can change it about to the form above and you'll see it so.

Just bear in mind that for the rational form for conics

if both fractions are positive and their denominator different, is an ellipse

if both fractions are positive and their denominator equal, is a circle

if one of the fractions is negative, then we have a hyperbola, and on a hyperbola the traverse axis is always the denominator with the positive fraction, so if the denominator is under the "x" fraction, then the traverse axis is horizontal, if under the "y" fraction, then vertical.

based on that fraction, is an ellipse with a center at (2 , -5).

now, the larger denominator is 29 and it's under the "y" variable, that means the major axis is in the direction of the y-axis, so is a vertical ellipse if you wish.     Check the picture below.

If 10^2y = 25, then 10^-y equals:
(a) -1/5,
(b) 1/625,
(c) 1/50,
(d) 1/25,
(e) 1/5​

Answers

solution:

[tex] {10}^{2y} = 25[/tex]

[tex] {(10)}^{y2} = {5}^{2} [/tex]

[tex] {10}^{y} = 5[/tex]

[tex] \frac{1}{10 {y} } = \frac{1}{5} [/tex]

[tex] {10}^{ - y} = \frac{1}{5} [/tex]

answer= option e.

Answer
(e) 1/5

Explanation
5^2=5*5=25

11 Describe how the numbers-7-and-7 would be positioned relative to each
other on a horizontal number line.
Select one answer.
A The number-7 would be positioned to the left of -7 on a horizontal
number line because -7<-7.
B The number - 7 would be positioned to the left of -7 on a horizontal
number line because
use -7/>-7.
C The number - 7 would be positioned to the right of -7 on a horizontal
number line because -2
-7/1/2<-7.
D The number - 7 would be positioned to the right of -7 on a horizontal
number line because -7> -7.

Answers

Step-by-step explanation:

you have to be careful with the precise notation of terms and expressions.

you keep using only -7 for everything.

i suspect you mean 7 and -7, right ?

if that is correct, then just remember this :

on a number line the positive values are on the right, and the negative values on the left.

in fact, the further right you go, the larger the number gets. and the further left you go, the smaller (or lower) the number gets.

e.g. -7 is smaller than -6.

and so, -7 would be to the left of 7, because -7 < 7.

or vice versa :

7 would be to the right of -7, because 7 > -7

How do I convert the letter in an answered equation into a number, for example the answer 8.50246E6

Answers

Answer:

1Step-by-step explanation:

1 + IS 1 AND ITS 1

Answer:

See below

Step-by-step explanation:

E means exponent of 10

8.50246E6   means   8.50246 x 10^6   = 8502460

What is the area of the following triangle?

Answers

Answer:

150in²

Step-by-step explanation:

area of traingle = (base x height)/2

here base = 25in and height = 12in

therefore area = (25 x 12)/2

150in²

Answer:

150in2

Step-by-step explanation:

The Formula is A= 1/2 bh

You multiply 25 x 12

300

Then you divide it by 2

I NEED HELP ON THESE QUESTIONS QUICKLY PLEASE!!!!

1. Maximize Z=2x+3y subject to the constraints:

3x+2y≤15

4x+y≤0

x≥0

y≥0

On the attachments I need questions 7,21,22.23and 25 answered and it has to be in the next 2 hours please this is very Important


1

Answers

The objective function Z = 2x + 3y cannot be maximized, while the maximum value of the objective function Z = 2x + 5y is 19

Part A (Question 1): Maximize Z

The objective function is given as:

Z = 2x + 3y

The constraints are given as:

3x+2y≤15

4x+y≤0

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (-3,12)

Because x≥0 & y≥0, and x is negative in (-3,12), then

The function cannot be maximized.

Part B (Question 7): Maximize Z

The objective function is given as:

Z = 2x + 5y

The constraints are given as:

x + y ≤ 5

y - x ≤ 1

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (2,3)

Substitute 2 and 3 for x and y in the objective function.

Z = 2 * 2 + 5 * 3

Evaluate

Z = 19

Hence, the maximum value of the objective function is 19

The questions 21, 22, 23 and 25 are not included in the attachment

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Find the length of h. Round to the nearest hundreth.​

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{h}{0.3}~~ = ~~\cfrac{0.4}{0.5}\implies \cfrac{h}{~~ \frac{3}{10}~~}~~ = ~~\cfrac{~~ \frac{4}{10}~~}{\frac{5}{10}}\implies \cfrac{10h}{3}~~ = ~~\cfrac{4}{5} \\\\\\ 50h=12\implies h=\cfrac{12}{50}\implies h=\cfrac{6}{25}\implies h=0.24[/tex]

heyyyyyy suuuupppp....can someone please help me with this? thank you! :)))​

Answers

Answer:

A: Second option

B: 18%

Step-by-step explanation:

PART A

The second option

0.40c(0.15) + 0.60c(0.20)

If we have 40% men, and 15% of them are advanced

we can say 40% x 15% x c which is the same as 0.40 x 0.15 x c

Same thing for the women

0.60 x 0.20 x c

PART B

0.40c(0.15) + 0.60c(0.20)

= 0.06c + 0.12c

= 0.18c  which is the same as  18% of c

A plane left Chicago at 8:00 am. At 1:pm, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?
(average rate of change)

Answers

Answer:

it took the plane 5 hours to get there and now that you know the time it took for the plane to get there divide it by the miles which equals 300 miles per hour

The circumference of a circle is 20pi in. What is the area, in square inches? Express
your answer in terms of Pi

Answers

Answer:

10.14π

Step-by-step explanation:

First we have to work backwards. We know the forumla for circumference is pi x diameter. So we have to work backwards. 20 divided by pi is 6.37. So thats our diameter. Now that we that we can put it into our forumla for area. A= π x R^2.

The raidus is half of the diamater so 6.37/2. Which equals 3.185. Now we that into our formula. A= π x 3.185^2. Now we keep simplyifying the equation. 3.185^2=10.14. So now we have A=10.14π

22
Liam is trying to remember a 3-digit code.
He knows the rule that
the first digit is a cube number
the second digit is a factor of 16
the third digit is an odd number.
Liam tries at random a code that matches the rule.
Work out the probability that this is the correct code.
[4 marks]

Answers

The first digit may be 1 or 8.

The second digit may be 1, 2, 4, 8.

The third digit may be 1, 3, 5, 7, 9.

There are [tex]2\times4\times5=40\:variants[/tex]

The probability that this is the correct code is [tex]\frac{1}{40}[/tex]

1/40 is the probability that this is the correct code.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Liam is trying to remember a 3-digit code.

the first digit is a cube number so the first digit may be 1 or 8.

the second digit is a factor of 16.

The factor of 16 are 1, 2, 4 , 8.

Third digit is an odd number so the third digit may be 1, 3, 5, 7, 9.

There are 2×4×5 possibilities of Liam code.

40 possibilities

the probability that this is the correct code is 1/40

Hence, 1/40 is the probability that this is the correct code.

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A triangle has a base of x^1/2 m and a height if x^3/4 m. If the area of the triangle is 16m^2, what are the base and height of the triangle?

Answers

Answer:

Base = 4 m

Height = 8 m

Step-by-step explanation:

For triangle:

[tex]Base\: (b) = x^{\frac{1}{2}}\: m\\\\Height \:(h) = x^{\frac{3}{4}}\: m\\\\ A(\triangle)= 16\:m^2\\\\A(\triangle)= {\frac{1}{2}}(b)(h)\\\\\implies 16=\frac{1}{2}(x^{\frac{1}{2}})(x^{\frac{3}{4}})\\\\\implies 32= (x^{\frac{2}{4}})(x^{\frac{3}{4}})\\\\\implies 2^5=x^{\frac{3+2}{4}}\\\\\implies 2^5=x^{\frac{5}{4}}\\\\\implies 2=x^{\frac{1}{4}}\\\\\implies 2^4=x\\\\\implies x=16\:m[/tex]

[tex]Base\: (b) = x^{\frac{1}{2}}={16}^{\frac{1}{2}}={(4^2)}^{\frac{1}{2}}=4\: m[/tex]

[tex] Height\: (h) = x^{\frac{3}{4}}={16}^{\frac{3}{4}}={(2^4)}^{\frac{3}{4}}=(2)^3=8\: m[/tex]

A parabola opening up or down has vertex (0,5) and passes through (4,1). Write its equation in vertex form.

Answers

Answer:

see below

Step-by-step explanation:

y = a ( x-0)^2 + 5     sub in the point given to calculate 'a'

1 = a (4)^2 + 5

-4 = 16a

a = - 1/4

y = -1/4 x^2 + 5

Which value is not a solution of the inequality 2 - 4 > 2?
Ox= 10
x = 6
o
Ox=4
O2 = 14
21

Answers

The inequality x -4 > 2 uses a greater than symbol

All numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

How to determine the value not in the solution?

The inequality is given as:

x -4 > 2

Add 4 to both sides of the inequality

x - 4 + 4 > 2 + 4

Evaluate the sum

x > 6

The above means that only numbers greater than 6 are in the solution of the inequality.

Since the options are not given, I will give a general solution that all numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

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