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2 years ago

Help please! I just need to know how to do this step by step...

Mathematics

2 answers:

Alex787 [66]2 years ago

7 0

-8 - 5n = 64 + 3n

+5n +5n add 5n to both sides, 5n's cancel out on the left.

______________

-8 = 64 + 8n

-64 -64 subtract 64 on both sides, 64's cancel out on the right.

______________

-72 = 8n

___ ___ divide 8 on both sides, 8's cancel out from the right.

8 8

n= -9, final answer

pashok25 [27]2 years ago

3 0

Answer:

-8 - 5n= 64 + 3n

+8 +8

=0 =72

-5n= 72 + 3n

-3n -3n

-8n= 72 divide both sides by -8

n= -9

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Indicate the equation of the given line in standard form. Show all your work for full credit. the line containing the median of

alukav5142 [94]

Answer:

* The equation of the median of the trapezoid is 10x + 6y = 39

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line whose end points are (x1 , y1) , (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The mid point of the line whose end point are (x1 , y1) , (x2 , y2) is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

- The standard form of the linear equation is Ax + BC = C, where

A , B , C are integers and A , B ≠ 0

- The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

- It has two properties:

# It is parallel to both bases

# Its length equals half the sum of the base lengths

* Lets solve the problem

- The trapezoid has vertices R (-1 , 5) , S (! , 8) , T (7 , -2) , U (2 , 0)

- Lets find the slope of the 4 sides two find which of them are the

parallel bases and which of them are the non-parallel bases

# The side RS

∵ $m_{RS}=\frac{8-5}{1 - (-1)}=\frac{3}{2}$

# The side ST

∵ $m_{ST}=\frac{-2-8}{7-1}=\frac{-10}{6}=\frac{-5}{3}$

# The side TU

∵ $m_{TU}=\frac{0-(-2)}{2-7}=\frac{2}{-5}=\frac{-2}{5}$

# The side UR

∵ $m_{UR}=\frac{5-0}{-1-2}=\frac{5}{-3}=\frac{-5}{3}$

∵ The slope of ST = the slop UR

∴ ST// UR

∴ The parallel bases are ST and UR

∴ The nonparallel sides are RS and TU

- Lets find the midpoint of RS and TU to find the equation of the

median of the trapezoid

∵ The median of a trapezoid is a segment that joins the midpoints of

the nonparallel sides

∵ The midpoint of RS = $(\frac{-1+1}{2},\frac{5+8}{2})=(0,\frac{13}{2})$

∵ The median is parallel to both bases

∴ The slope of the median equal the slopes of the parallel bases = -5/3

∵ The form of the equation of a line is y = mx + c

∴ The equation of the median is y = -5/3 x + c

- To find c substitute x , y in the equation by the coordinates of the

midpoint of RS

∵ The mid point of Rs is (0 , 13/2)

∴ 13/2 = -5/3 (0) + c

∴ 13/2 = c

∴ The equation of the median is y = -5/3 x + 13/2

- Multiply the two sides by 6 to cancel the denominator

∴ The equation of the median is 6y = -10x + 39

- Add 10x to both sides

∴ The equation of the median is 10x + 6y = 39

* The equation of the median of the trapezoid is 10x + 6y = 39

7 0

3 years ago

Let A be a digit. If the 7-digit number 353808A is divisible by 2, 3, 4, 5, 6, 8, and 9, then what is A?

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

The only two numbers that would make the whole expression divisible by 8 are 0 and 8. Since the number also has to be divisible by 5, though, the last digit must be a 0 or a 5. Therefore, A=0. Hope this helps!

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3 years ago

Find the area of the court<br><br>

Romashka [77]

Answer:

7.4. I BELIEVE...sorry if i did it wrong

Step-by-step explanation:

1 2/3 + 1 2/3 = 3.33333333

2 + 2 = 4

3.333333 + 4 = 7.333333

7.333333 rounded would be 7.4

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2 years ago

Jennifer scores a 77 on her algebra 2 test. The mean on the test was 73. The standard deviation on the test was 5. What was her

MA_775_DIABLO [31]

Answer:

0.80

Step-by-step explanation:

The z-score is found from the formula ...

Z = (X -μ)/σ

Z = (77 -73)/5 = 4/5 = 0.80

Jennifer's Z-score was 0.80.

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3 years ago

If you the numbers 2 and 2, what will the final sum be

Andre45 [30]

It would be 4 because you add 2 and 2 and you will get 4

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