What is the slope of a line that is parallel to the line shown
on the graph?
A -4
B -1/4
C 1/4
D 4

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]

Check the picture below.

The equation of a circle is:

(x - h)² + (y - k)² = radius²

Note:

h = x coordinate for the centre of the circle

k = y coordinate for the centre of the circle

The equation for the circle in the question is:

(x - 6)² + (y - 5)² = 16

So the coordinates for the centre of the circle is:

(6, 5)

------------------------

Since PQ is the diameter of the circle, that means the coordinates for the  midpoint of PQ would also be the coordinates for the centre of the circle

That  means:

( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)

So x-coords of Q:

[tex]\frac{10 + x}{2} = 6[/tex]

10 + x = 12

x = 2

y-coords of Q

[tex]\frac{-5+ x}{2} = -5[/tex]

-5 + x = - 10

x = 5

So the coordinates for Q are:

(2, -5)

---------------------------------------------

Answer:

Option A) (2, - 5)

Answer:

Ratios are usually proportional if they are the same or have the same relationship.

Step-by-step explanation:

Like: you have 2 fractions that reduce and come out the same they are proportional.

Hope my answer has helped you!

Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.

Step-by-step explanation:

Final answer:

The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.

Explanation:

To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.

The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:

Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25

When you calculate this, you get:

0.48 × 0.25 = 0.12

Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.

The probability that Nick oversleeps and has a pop quiz on the same day is 12%.

To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.

Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25

The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)

Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12

So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (2-3)/(3-0)

   -1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = -1/3x +3

Answer:

[tex]y=\frac{-1}{3} x+3[/tex]

Step-by-step explanation:

Let frame the equation of the line using the points given on the graph

(0,3) and (3,2)

Equation of the line is y=mx+b

where m is the slope and b is the y intercept

To find slope we use formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}[/tex]

Y intercept b is the point where the graph crosses y axis

y intercept b = 3

The equation y=mx+b becomes

[tex]y=\frac{-1}{3} x+3[/tex]

Answer:

1/6

Step-by-step explanation:

1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6

Answer:

A. 1/6

Step-by-step explanation:

Probability of getting heads: 1/2

Probability of rolling a number >or equal to 5: 2/6

(1/2)(1/3)=1/6

Answer:

19

Step-by-step explanation:

f(x) = 2x^2 +1

Let x =3

f(3) = 2 (3)^2 +1

     = 2 *9 +1

     = 18 +1

     = 19

Answer:

The system x = 4 and y = -x - 1 has one solution

Step-by-step explanation:

x = 4 and y = -x - 1 intersects only once on the graph

Answer:

The line x = 4 and y = - x - 1 has only one solution.

Step-by-step explanation:

Consider the provided graph.

The system of equation has the solution at the point where the line intersects.

Now consider the graph of the equation x = 4 and y = - x - 1

The graph of x = 4 is a vertical line.

From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.

Now to calculate the number of solutions simply count the number of intersecting points.

By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).

Hence, the line x = 4 and y = - x - 1 has only one solution.

Answer:

C

Step-by-step explanation:

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3

The average rate of change in t over the interval [3,11] is C. 3.

The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3.

The average rate of change in t over the interval [3,11] is C. 3.

Hence, The correct answer is option C. 3.

To learn more about the average rate of change of a function

https://brainly.com/question/2170564

#SPJ2

Answer:

Definition of midpoint

Step-by-step explanation:

AM = ME because of the lines showing they are equal

M is therefore the Midpoint of the segment AE

Since AE = 12

AM is 1/2 of AE

AM = 1/2 (12)

AM = 6

We use the definition of midpoint

Answer: that not a real question it cant be answered has to be missing something

Step-by-step explanation:)

Answer:

Hi my name is Kylie "How You Doing" phrase from Friends, Joey

Answer:

I think the picture here explains you everything

hope this helped

Answer:

8 days

Step-by-step explanation:

Answer:

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

Step-by-step explanation:

In order to match the equivalent expressions we have to put each expression in its simplest form

So,

[tex]x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12[/tex]

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

..

Answer:

x + 3y + 12 <--> x + 3y + 2x - 3x + 7 + 5

x − 3y + 12 <--> 12 - 3y - 2x + x + 2x

3x + 2y − 2x + y + 12 <--> 3x + y - 12

3y + 12 <--> 4y + 3y + 3x - 6y - 10 - 2

Answer:

Step-by-step explanation:

a) She uses 23 pages (but the last page has 2)

b) 2

c)Jane needs 82 more stickers because

50pages-23=27

27x3(stickers, befcuaase 3 stickers per page)=81

81+1=82 because on 23 page theres only 2 sticker

Hope this helps

[tex]\frac{1}{6}[/tex]

There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]

There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]

Therefore, the probability is [tex]\frac{1}{6}[/tex].

Answer:

1/6

Step-by-step explanation:

When we roll a die, we can get the numbers 1,2,3,4,5,6

Each is equally likely

P(3) = How many times 3 occurs/ total

  3 occurs 1 time in on the die and there are 6  possible numbers

P(3) = 1/6

Answer:

  $293.75

Step-by-step explanation:

Any number of financial calculators, spreadsheets, and on-line calculators can compute the monthly payment for you. Or you can put the numbers into the formula and compute it yourself.

A formula I like is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the loan amount, r is the annual interest rate, and t is the number of years. Filling in the given information and doing the arithmetic, we get ...

  A = $10000(0.18/12)/(1 -(1 +0.18/12)^(-12·4)) = $150/(1 -1.015^-48) = $293.75

Your monthly payment is $293.75.

Answer:

2( √x - x³ )

Step-by-step explanation:

see attached.

Answer:

(f-g)(x) = 2√x - 2x³

Step-by-step explanation:

Write out the terms of f(x) as they are and then the negatives of all the terms of g.  We get:

(f-g)(x) = √x - x - 2x³ + √x + x

Combining like terms, we get:

(f-g)(x) = 2√x - 2x³

Answer:

The true statements are the third and fifth. [not sure about the second one!]

Step-by-step explanation:

1.) (7u + 4) is written as a sum of three terms.

This is false since 7u is one term, and 4  is one term, making a total of two terms, not three.

2.) 2 is a factor

I'm not sure on this but I don't think its true.

3.) In 7u, 7  is a coefficent

This is true. The coefficent is the number in front of a variable, or in this case, 7.

4.) In (7u + 4), 7u is a constant.

This is false, as a constant is a number without  any variable attached to it. The constant in this case would be 4.

5.) 8 and 1 are like terms.

This is true, since you can add 8 and 1, resulting in the sum of 9.

6.) None of these are true.

This is false, as at least 2 of these statements are true.

I hope this helps! :)

Answer:

∠10 and ∠4

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles

In this problem

∠10 and ∠4 are corresponding angles

Answer:

1. Simplify the inequality  5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):

15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.  

2. Separate terms with x and without x in different sides:

11.22x+10.2x>-38.75-15.3.

3. Add similar terms:

21.42x>-54.05.  

4. Divide by 21.42:

x>-54.05/21.42

x>-2.5

Step-by-step explanation:

Answer:

Ball Bearing Volume = (4 / 3) * PI * radius ^3

Volume = (4 / 3) * 3.14159265 * (.35)^3

Volume = (4 / 3) * 3.14159265 * 0.042875

Volume = 0.17959438 cc

1 cc of steel = 7.8 g

Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc

1 kg = 128.205 cc

Number of ball bearings we can make = 128.205 / 0.17959438

Equals 713.86

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just took the test lol

Answer: C is correct, 4x=8

Step-by-step explanation:

You will add the two equations...

4x-8=0

Now you need to move the -8 over, which reverses its sign to positive.

4x=8

Answer: Using the distance formula 5sqrt 2 is the answer

d=sqrt(x1-x2)^2+(y1-y2)^2

Step-by-step explanation:

d=sqrt(9-4)^2+(6-1)^2

d=sqrt(5)^2+(5)^2

d=sqrt 25+25

d=sqrt 50

d= 5 sqrt 2

Answer:

Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.

3x-2>-4           Given

3x-2+2>-4+2  Addition property of Equality

3x+0>-2         Simplification and Inverse Property of Addition for -2+2

3x    >-2         Simplification and Identity Property of Addition for 3x+0

3x/3 >-2/3      Division property of Equality

1x     >-2/3      Inverse property of Multiplication for the 3*1/3 part

x      >-2/3      Identity property of Multiplication for the 1x part

the answer would be 12

-4 - -16 = 12

the distance between -16 and -4 is 12.

This is ed right? If so the answer would be c

ANSWER

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

EXPLANATION

The given function is

[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]

The vertex of this function is (3,8)

This function opens downwards so its range is

[tex]y \leqslant 8[/tex]

The function

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

also has vertex (-3,8)

This function is also reflected in the x-axis. Its range is;

[tex]y \leqslant 8[/tex]

The correct answer is C

Let y be the total cost and x be the miles taken:

y = 0.30x + 35

35 is a fixed cost. No matter how many miles you drive the car you will still need to pay $35

.30 is a cost that depends on the miles taken (x).

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

5%

Step-by-step explanation:

3/60 = 1/20 = 0.05.  This is 0.05(100%), or 5%.

Answer:

25ab

Step-by-step explanation:

(5a)(5b) -> Expand the brackets (multiply like terms together, etc) When the brackets are expanded, values can be multiplied, etc easily

25ab -> 5 multiplied by the other 5 gives 25; a multiplied by b gives ab