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3 years ago

Point (m, n) is transformed by the rule (m−3, n) .

1 answer:

4 0

The answer is a translation of 3 units to the left. Can you please (or someone else) please help me with this question that i'm about to ask
Is this sentence correct: " I expected her to apologize, but I'd miscalculated" ? Does that makes sence? if not right please correct that sentence I'LL APRECIATE IT, THANK YOU SO MUCH!

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The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inche

Anastasy [175]

90 = k*15
constant of proportionality = 80 / 15 = 6 Answer

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3 years ago

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Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl

spin [16.1K]

She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.

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3 years ago

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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

Which of the following is CORRECTLY written in scientific notation? Question 1 options: .34 x 10(exponent 3) 34 x 10(exponent 3)

ExtremeBDS [4]

Correct scientific notation has only one number to the left of the decimal point.

The correct one would be: 3.4 x 10(exponent 3)

5 0

3 years ago

A triangle has 3 angles and one has 35 degrees and the other has 35 degrees and 90 degrees. There is also a wide angle next to t

SIZIF [17.4K]

Since the triangle is isosceles, (it has 2 equal angles). We can easily figure out what the outside angles are because they are the same. When finding an outside angle, you subtract the inside angle next to it by 180 degrees for your answer.

180- 35= 145 degrees

The outside angles are equal to 145 degrees.

I hope this helps!
~kaikers

5 0

3 years ago

Point (m, n) is transformed by the rule ​ (m−3, n) ​.

Point (m, n) is transformed by the rule (m−3, n) .