Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point

B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it

C. the line that is a perpendicular bisector of the segment connecting the two points

D. the line that has the given points as endpoints

Answer:

-5x - 5

Step-by-step explanation:

distribute both -4 and -1/2

it should look like this...

-4x - 8 - x + 3 now add the like terms

-5x - 5

Final answer: -5x - 5

Hello!

How many marbles are in the jar all together?

3 + 2 + 4 = 9

We also know that there are 4 green marbles in the job.

So, I would assume that the answer is;

Green Marbles : Total Marbles or Green Marbles to Total Marbles.

waffletowne

Answer:

see the pic below.

Each stanza helps us to narrate the story of how music influenced Billie Holiday.

The meaning and the message a poem passes can be deduced from the tone in which the poet uses in writing the poem.

From the Poem "You go to my head";

Each Stanza was written as a narration of the poet mood and how he wishes his mood can take him to Baltimore Best Talent at Harlem's Theater.

However, In the present poem given, the rhythmic words and repeated sounds used in each stanza is an element that gives the poem a carefree feeling.

Learn more about the meaning of a poem here:

https://brainly.com/question/9861

Answer:

I think the answer is option 2

3 is the correct choice

Answer:

...

Step-by-step explanation:

2N+7H

Answer:

7H+6N

Step-by-step explanation:

Combine like terms(h)-

4n+10h-3h+2n

4n+7h+2n

Combine like terms(n)-

4n+7h+2n

6n+7h

Rearrange terms-

6n+7h

7h+6n

Answer:

Choice B: Only (-1,-5)

Step-by-step explanation:

With this one, first the equation needs to be reduced into point-slope format.

y+5=2(x+1)

Distributive Prop.

y+5=2x+2

Carry over the 5 to the opposite side.

y=2x-3

Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.

Choice A: X is 5; Y is 10

y=2x-3

y=2(5)-3

y=10-3

y=7

This does not give a y value of 10, so it is false.

Choice B: X is -1; Y is -5

y=2(x)-3

y=2(-1)-3

y= -2-3

y= -5

This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.

Answer:

1A: 29 units²

1B: √29 units

2, 3, 4. see below

5. between 8 and 8.5

Step-by-step explanation:

1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.

Area = 4(0.5)(5 x 2) + (3²) = 29 units²

1B: Square root your answer in 1A. √29 units

Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units

2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.

3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4

4. A number that cannot be expressed as a fraction. E.g. π, e, √3

5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.

Answer: A

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]

Answer:

A. B. and C.

(and hi again)

Answer:

7.94 is your answer

Step-by-step explanation:

......

Answer: 125,000

Step-by-step explanation:

Voulme= LxWxH

             = 50x 50x50

              =125,000

Answer: Low

The overlap of data set 1 and data set 2

Answer:

153.9

Step-by-step explanation:

Answer:

22 + x ≤ 40

x ≤ 18 pounds

Step-by-step explanation:

Maximum weight = 40 pounds

Initial weight = 22 pounds

Let Maximum weight that can be added = x

Mathematically, this means :

Initial weight + additional weight ≤ 40

That is ;

22 + x ≤ 40

Additional weight, x :

x ≤ 40 - 22

x ≤ 18 pounds

Answer: 47890000

Step-by-step explanation:

4.789*10^7=4789*10^4=4789000

Answer:

47,890,000

Step-by-step explanation:

Answer:

Half of 20 is 10(new radius)

10^2(radius being squared) = 100

Next step is to multiply by pi

100π cm2

Step-by-step explanation:

Formula of area of a circle:

πr^2

pi x radius squared

Answer:

x = -3

Step-by-step explanation:

5 = x + 8

You need to get x by Itself so subtract 8 to both sides.

5 - 8 = -3

so therefore x = - 3

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]

                                     = [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]

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

mean number of pets  = 2

The mean number of pets is 2.

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

I dont know for sure but I would have to guess DC because there's no line connecting the 2

Please do answer DC at your own risk though.

Answer:

DC

Step-by-step explanation:

Because there not connected to eachother

Answer:

15. Answer: length = 15 ft; width = 3 ft

16. Answer: base = 14 cm; height = 5 cm

17. Answer: x² - 5x - 24 = 0

Step-by-step explanation:

15.

area of rectangle = length * width

length = x - 2

width = x - 14

area = (x - 2) (x - 14)

We are shown the area to be 45 ft².

We set the expression of the area equal to the given area and solve the quadratic equation for x.

(x - 2)(x - 14) = 45

x² - 14x - 2x + 28 - 45 = 0

x² - 16x - 17 = 0

(x - 17)(x + 1) = 0

x - 17 = 0  or  x + 1 = 0

x = 17  or x = -1

We discard the negative answer, x = -1, since it would give negative length and width.

x = 17

length = x - 2 = 17 - 2 = 15

width = x - 14 = 17 - 14 = 3

Answer: length = 15 ft; width = 3 ft

16.

area = ½bh

area = ½(x - 5)(x - 14)

area = 35

½(x - 5)(x - 14) = 35

(x - 5)(x - 14) = 70

x² - 14x - 5x + 70 = 70

x² - 19x = 0

x(x - 19) = 0

x = 0  or  x - 19 = 0

We discard x = 0 since it would give negative dimensions.

x = 19

base = x - 5 = 19 - 5 = 14

height = x - 14 = 19 - 14 = 5

base = 14

height = 5

Answer: base = 14 cm; height = 5 cm

17.

A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.

[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24

Answer: x² - 5x - 24 = 0

Answer:

46mi

Step-by-step explanation:

Its right. Sorry need the points.

Answer:

D. infinitely many solutions

Step-by-step explanation:

to find how many solutions the equation have, we can solve it

here's the given equation:

2(2x-3)+6=4x

our goal is to isolate the variable onto one side

do the distributive property shown in the equation (multiply both 2x and -3 by 2)

4x-6+6=4x

combine like terms (add -6 and 6)

4x=4x

subtract 4x from both sides, as we still have the variable on both sides

0=0

0 is always equal to 0; that's an identity

if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions

Answer:

D. Infinitely many solutions.

Step-by-step explanation:

Answer:

1+sin²Θ

Step-by-step explanation:

sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])

=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])

[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]

Answer:

58

Step-by-step explanation:

[tex](2x - 11) \degree = 105 \degree \: (vertical \: angles) \\ \\ 2x - 11 = 105 \\ \\ 2x = 105 + 11 \\ \\ 2x = 116 \\ \\ x = \frac{116}{2} \\ \\ x = 58[/tex]

Answer:

58

Step-by-step explanation:]

Super Speedz Math Skillz

Answer:

[tex]\pi\cdot25\cdot\frac{12}{3} = 314.1592654[/tex]

Answer:

Step-by-step explanation:

The number of games for the session is 112 so all the wins and losses should add up to 112.

Assume that the number of times they lost is x. The number of times they won would then be: 16 + 3x

Total expression is therefore:

16 + 3x + x = 112

16 + 4x = 112

4x = 112 - 16

x = 96/4

x = 24

They lost 24 games. Number of games won is:

= 112 - 24

= 88 games