15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?

Answers

Answer 1

Y = -0.5

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry

Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)

x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2

Since radius is half of the diameter, we need to find the findthe midpoint of the diameter

Using midpoint formula,

y  = (y₁ + y₂)/2

   = (0 + (-1))/2

    = -0.5

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Related Questions

Scatter plots are used to visualize association in samples of paired data (x, y). group starts
a. true
b. false

Answers

I think the answer is true.

whats the answer for 5x5/2

Answers

Hi!

5x5=25
25/2= 12.5

I hope it’s help you!

A hockey team has 6 forwards, 4 defensemen, and 2 goalies. at any time, 3 forwards, 2 defensemen, and 1 goalie can be on the ice. how many combinations of players can a coach put on the ice?

Answers

A coach may use 240 different player combinations on the rink.

What are some permutation and combination examples?

The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.

Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.

Forward 6C3 = 20

Defence 4C2 = 6

Golie 2C1 = 2

No. of possible Combination = 20 * 6 * 2 = 240

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A researcher measures eye color for a sample of n = 50 people. which measure of central tendency would be appropriate to summarize the measurements?

Answers

According to the statement:

Mode measure of central tendency would be appropriate to summarize the measurements.

The correct option is B.

Briefing:

We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.

When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.

What is mean ,Midian and mode?

Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.

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I understand that the question you are looking for is:

A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​

Select one:

a. ​weighted mean

b. ​mode

c. ​median

d. ​mean

15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8

a. 42
b. 74
c. 84
d. 106
e. 138

Answers

The measure of the angle 8 is option (d). 106.

Measure of Angle

Angle measurement is the amount of rotation from the initial to an endpoint of a ray.

Given,

Measure of Angle 2 = 8x + 10

Measure of angle 6 = x² - 38

Here we need to find the measure of angle 8.

Let us consider the angle 2 and 6 are corresponding angles.

Then,

Measure of Angle 2 = Measure of Angle 6

Apply the corresponding values,

Then we get,

8x + 10 = x² - 38

It can be written as,

=> x² - 38 - 8x - 10 = 0

=> x² - 8x - 48 = 0

When we factorize the equation,

Then we get,

=> (x + 4) ( x - 12) = 0

Then the value of x will be x = -4 and 12.

Here the value of x can't be negative.

So,

=> x = 12

Now apply the value of x on the measure of angle 2,

=> 8(12) + 10

=> 96 + 10

=> 106

So, the measure of angle 8 is option (d). 106.

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1. Which of the following shows the statement 4 less than 12?
a. 4 - 12
b. 12 + 4
c. 12 - 4
d. 4 + 12

Answers

Answer:

C is correct

Step-by-step explanation: please let me know if it was rong

In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four times the measure of the second angle. if the total number of degrees in a triangle is 180 what is the measure of the largest angle?

Answers

The greatest angle in the given triangle is 104 degrees.

What is a triangle?The polygon with 3 sides, three vertices, and three angles is known as a triangle. A triangle's overall number of degrees is always 180 degrees.

Given:

Let, the second angle has a measurement of x degrees.The first angle's measurement is 24 degrees greater than the second angle's measurement. As a result, the first angle is (24+x) degrees.The third angle is four times as large as the second. As a result, the third angle has a measure of 4x.

So,

(24 + x) + x + 4x = 1806x = 124 - 486x = 156x = 156/6x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

= 24 + 26= 50

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

4 × 26 = 104

Therefore, the greatest angle in the given triangle is 104 degrees.

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find the midpoint of each line segment. WILL GIVE BRAINLIEST!!

Answers

one on right is 2,-2 and one on left is -1,1

number 3 is 2,-2 and 4 is -1,1

(PLS HURRY ASAP 100 POINTS)
(Theoretical Probability MC)

The tree diagram represents the sample space for the repeated experiment of a coin being tossed 4 times.


Determine P(at least 3 tails).

A: 0.025
B: 0.0625
C: 0.125
D: 0.3125

Answers

Answer:

D) 0.3125

====================

Total number of outcomes is 16, count of all outcomes.

Number of outcomes with 3 or more tiles is 5:

HTTT, THTT, TTHT, TTTH, TTTT

The probability is:

P = favorable outcomes / total outcomesP(at least 3 tails) = 5/16 = 0.3125

Correct choice is D.


j^² - 5k for j = -4 and k = -1

Answers

Answer:

21

Step-by-step explanation:

Hello!

Substitute the values of j and k and evaluate.

Evaluate[tex]j^2 - 5k[/tex][tex](-4)^2 - 5(-1)[/tex][tex]16 + 5[/tex][tex]21\\[/tex]

The evaluated value is 21.

PLEASE HELP !! 30 POINTS

Answers

Answer:

A = 11

B = 8

Step-by-step explanation:

The function is 2[tex]2x^2 + x + 5[/tex]

To determine y=A and y=B simply substitute the value of x corresponding to that y-value

A is at x = -2

At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]

[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]

So [tex]\boxed{A = 11}[/tex]

For B, note that x = 1

So y-value for x = 1 is

[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]

[tex]=2+1+5[/tex]

[tex]=8[/tex]

So [tex]\boxed{B=8}[/tex]

a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.

Answers

Height of the base = 10cm

The definition of triangular volume?

The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.

Given a candy box is in the shape of triangular prism

           Volume of the box = 1200 cm³

           Base of the triangle = 10cm

           Side of the triangle = 13cm

           Length of the box = 20 cm

            Let the height of the base = h cm

Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)

   1200 = (1/2)×10×h×20

        1200 = 100h

      h = 1200/100

      h = 12 cm  

        So, height of the triangle = 10cm

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On a hot summer day, Lisa and her friends decided to have a water fight. They threw water balloons for 52 minutes. When all the water balloons were gone, they sprayed water with hoses for 29 minutes. The water fight ended at 2:48 P.M. when Lisa's dad showed up with ice cream. What time did the water fight start?

Answers

Answer:

1:27pm

Step-by-step explanation:

52 + 8 = 1 hour

29 - 8 = 21

1 hour and 21 minutes

2:48 - 1:21

1:27pm

What is 210 divided by 5

Answers

Answer:42

Step-by-step explanation:

Help!!! Please help urgently!

Answers

Answer:

x = 18

Step-by-step explanation:

25 + 20 = 45

Proportions:

45  ⇒ 50

20 ⇒ x

x = 45*20/50

x = 18

Anyone can help me thanks

Answers

Answer:

When expenses are greater than revenue (first choice)

Step-by-step explanation:

Answer:

When expenses are greater than our revenue

The ratio of girls to boys in a a gardening club was 6:2 there were 16 boy how many are girls

Answers

Answer:

I don't know

Step-by-step explanation:

tdhdujdjbd

One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.

Answers

Answer:

4725

Step-by-step explanation:

105 students

think of 100 students

100 × 45 = 4500

now the remaining 5 students

cost for 10 students will be

45 × 10 = 450

divide 450 by 2 to find out for 5 students

it is 225

4500 + 225 = 4725

What is the reciprocal of 5/29

Answers

Answer:

[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.

Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.

Kofi is 5years older than Ama now. Two years ago, Kofi was twice as old as Ama. Find their ages now. ​

Answers

Answer:

Ama is an elephant so she is 2 years old

Step-by-step explanation:

Since time is constant, Kofi has always had to have been five years older than Ama. If at one point Kofi was twice Ama’s age, at that time, Kofi would have had to have been 10, while Ama would be 5. Since that would be two years ago, Kofi would now be 12, and Ama would now be 7.

=. What does the expression (x+3)(9) represent? Why?

Answers

Because when you multiply the 9 by x you get 9x and when you multiply the 9 by 3 you get 27. So then your final answer would be 9x + 27.
I hope this helps!! :)

Please answer the question in the picture above.

Answers

1/4n and n/4 are correct

please help !!!! ASAP Thank you in advance :) !

Answers

2 1/4 + 2 1/4 + 1 5/6 + 1 5/6
Is the same as
9/4 + 9/4 + 11/6 + 11/6
Is the same as 18/4 + 22/6
So to make the denominator the same you multiply them:
108/24 + 88/24 = 196/24
Simplified: 49/6
Answer = 48 1/6 m

Select all of the terms that are "like."
x^2
2x^2y
-xy
1/2 xy
xy^2
2xy

Answers

The like terms are -xy, 1/2xy and 2xy

How to select all of the terms that are "like."?

Like terms are expressions that have the same variable factor

Take for instance, 2x and 5x are like terms because their variable factors are x

Also, 5x and 2xy are not like terms

Using the above as a guide, the like terms are -xy, 1/2xy and 2xy

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How do i write the value of this underlined digit 2.439 and 1.987 and 6.175 0.618

Answers

The value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

As given in the question,

Given number = 2.439 , 1.987 ,  6.175 , and 0.618

Value of underlined digit :

2.439 = Tenth or 4 / 10

1.987 = Thousandth or 7/1000

6.175 = Ones or 6

0.618 = Hundredth or 1/100

Therefore, the value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

The complete question is :

How do i write the value of this underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 ?

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Find the area of the shaded region. All angles are right angles.
5m
30 m
20m
5m

Answers

im not sure but i think its 230m

letter j, i need help i don’t really understand it doesn’t explain good enough

Answers

3/5 < 3/4 (it’s asking for the sign)

Answer:

  3/5 < 3/4   (The symbol you need is <.)

Step-by-step explanation:

The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.

Comparing values

In general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).

You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.

Fractions

As you know, the denominator of a fraction tells you how many pieces the pie has been divided into.

In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.

In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.

A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...

  1/5 < 1/4

When there are 3 pieces of each, this relation still holds:

  3×(1/5) < 3×(1/4)   ⇒   3/5 < 3/4

__

Additional comment

Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.

If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.

Here, the denominators can be made to be 20 in each case.

  [tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]

The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.

Write each equation in function notation. y=12+3/4x

Answers

Step-by-step explanation:

y = f(x)

this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.

so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),

y = 12 + (3/4)x

is the same as

f(x) = 12 + (3/4)x

you could also write it as

f(x) = 12 + 3x/4

don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.

Fill in the blank if sin=3/5, then cos=

Answers

Answer:

cos = 4/5

Step-by-step explanation:

having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5

cos = adjacent side/ hypotenuse

sin= opposite side/ hypotenuse

since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.

hope this helps! if you have any more questions just ask

It took 5 hours to drive to Durham to Birmingham. The average speed was 48mph. What was the distance from Durham to Birmingham?

I need the explanation

Answers

Answer:

240 miles

Step-by-step explanation:

Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240

240 miles

Because it took 5 hours going 48 miles
per hour, therefore 5 x 48 =240
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