The endpoints of CD¯¯¯¯¯¯¯¯ are C(7, 9) and D(−1,−3). Find the coordinates of the midpoint M.

Answer:

[tex]q(x)= \frac{1}{3} x -\frac{13}{3}[/tex]

Step-by-step explanation:

So you have (16, 1)

When two linear functions are parallel, they have the same slope.

So function q also has a slope of 1/3x. You have a set of points so you can plug them in a slope intercept equation to find b.

y= mx+b

m= slope

y= y-intercept

1= 1/3(16) +b

1 - (16/3) = b

b= -13/3

so then, [tex]y= \frac{1}{3} x -\frac{13}{3}[/tex]

Answer:

61.45

Step-by-step explanation:

Answer:

$61.40

Step-by-step explanation:

I solved this question by using the O.P.N if you don't know what the  O.P.N Chart is here is what it means.

The O represents the original price.

The P represents the percent

and Finally the N represents the New cost.

Use the image below to see how to use the O.P.N Chart and how I solved this question.

If you have any other questions  call me using my phone number  "551 - 263 - 6579" or "+ 551 - 263 - 6579"

Answer:

yes

Step-by-step explanation:

yes but not a postitive one

Answer:

i think so yeah

Step-by-step explanation:

Answer:

25/6

Step-by-step explanation:

You first multiply the denominator by the whole number and add the numerator.

6×4+1=25/6

I hope this helps you:)

Answer:

The two are NOT THE SAME function.

Step-by-step explanation:

The linear function that is expressed as the equation y = -x + 3, is given in the slope-intercept form, y = mx + b, where

m = slope = -1

b = y-intercept = 3

To know if this function is the same with function expressed in the table of values, let's find the slope (m) and y-intercept (b) of the function represented as a table.

✔️Slope = change in y / change in x = ∆y/∆x

Using two pairs of values form the table, say, (-4, 1) and (-2, -1):

Slope (m) = (-1 - 1) / (-2 - (-4)) = -2/2 = -1

slope (m) = -1

To find b, substitute (x, y) = (-4, 1) and m = -1 into y = mx + b,

Thus:

1 = (-1)(-4) + b

1 = 4 + b

1 - 4 = b

-3 = b

b = -3

Write the equation for the table of values by substituting b = -3 and m = -1 into y = mx + b

Thus:

y = (-1)x + (-3)

y = -x - 3

As you can see, the equation of the function of the table of values is different from the equation of the function that was stated earlier.

Therefore, we can conclude that the two functions are not the same function expressed in different ways.

Answer:

your answer will be 9 cm

Step-by-step explanation:

I hope this helps u, have a great day !!!

Answer:

2,5 and 2,7 I believe

Step-by-step explanation:

It should be 2,5 and 2,7

Answer:

distance from the Water Slide to Roller Coaster 2

Step-by-step explanation:

✔️Distance from Roller Coaster 1 (-6, 7) to Roller Coaster 3 (-6, -3):

Distance = |7 - (-3)| = |7 + 3| = 10 units

✔️Distance from the Water slide (8, -8) to Roller Coaster 2 (-6, -8):

Distance = |8 - (-6)| = |8 + 6| = 14 units

✔️The distance from the Water Slide to Roller Coaster 2 (14 units) is greater than the distance from Roller Coaster 1 to Roller Coaster 3 (10 units)

Answer:

No

Step-by-step explanation:

3/5 or 3 ÷ 5 = 0.60

6/7 or 6 ÷ 7 = about 0.8571

these two numbers/decimals are obviously not the same, making them inequivalent

Answer:2

Step-by-step explanation:

18 divided by 2 equals 9

and for 50 it’s 15  because 50 divided by 2 is 15 so it’s 2

The greatest common factor of 18 and 50 is 2.

Greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

To put it another way, any two integers that multiply to produce a result are factors of the result.

We have to determine the greatest common factor of 18 and 50

The prime factorization of 18 is

⇒ 2 x 3 x 3 = 18.

The prime factorization of 50 is

⇒ 2 x 5 x 5 = 50.

The occurrence of common prime factors of 18 and 50 is 2.

So the greatest common factor of 18 and 27 = 2.

Therefore, the greatest common factor of 18 and 50 is 2.

Learn more about  the Greatest Common Factor here:

brainly.com/question/18905667

#SPJ2

The other side would be 15 meters.

Answer:

b = 13.27

Step-by-step explanation:

b^2 + 7^2 = 15^2

b^2 + 49 = 225

b^2 = 176

b = sqrt(176)

b = sqrt(16 * 11)

b = 4sqrt(11)

b = 13.27

Answer:

20m-8n

Step-by-step explanation:

0.4*50m=20m

20+_

0.4*-20n=-8n

20m+-8n

20m-8n

Answer:

2562.50

Step-by-step explanation:

2.5=0.025

0.025*2500=62.50

2500+62.50=2562.50

Answer:Mean  mark  of whole class= 74.8

Step-by-step explanation:

Mean  = Total marks of student / Number of students

Total marks of boys = Number of boys x Mean mark for boys

=15 x 70=1,050

Total marks of girls  = Number of girls  x Mean mark for girls

=10 x 82=820

Mean of whole students  = Total marks of student / Number of students

= (1,050 + 820)/ (10+15)

=1870/25

=74.8

Answer:

A) 4.77%.

B) 5%.

Step-by-step explanation:

Given that Adam borrows $ 6,000 from his parents today for university fees and he promises to pay a lump sum of $ 6,900 in 3 years' time, to calculate the effective annual interest rate and the equivalent simple annual interest rate the following calculations must be performed:

A)

6,900 = 6,000 x (1 + X / 1) ^ 3x1

6,900 = 6,000 x 1X ^ 3

6,900 = 6,000 x 1 x 4.77 ^ 3

Thus, the interest rate of said investment is 4.77% per year.

B)

(6,900 - 6,000) / 3 = 300

6,000 = 100

300 = X

300 x 100 / 6,000 = X

30000 / 6,000 = X

5 = X

Thus, the simple interest rate would be 5% per year.

Answer:

x=7

Step-by-step explanation:

im smart

Answer:

y+3+4y+16 : Apply the distributve property

5y+19 : Add the like terms

Hope this was helpful!

9514 1404 393

Answer:

  (a, b) = (4, 8)

Step-by-step explanation:

Writing both equations in general form, we have ...

  6a -5b +16 = 0

  9a -7b +20 = 0

__

We can make a little array of the numbers in the equations:

  [tex]\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right][/tex]

Note that the first column is repeated at the end.

Now, we can "cross multiply" and form the differences of products in adjacent columns:

  d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns

  d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns

  d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns

Then the solutions to these equations are the solutions to ...

  1/d1 = a/d2 = b/d3

  a = d2/d1 = 12/3 = 4

  b = d3/d1 = 24/3 = 8

The values of a and b are 4 and 8, respectively.

_____

Additional Comment

There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.

__

* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.

Answer:

28

Step-by-step explanation:

Arranged it in order and got 28 :)

Answer:

53,320 gross income

50,120 adjusted gross income

39,370 taxable income

Step-by-step explanation: