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3 years ago

Write a two column proof. Given: 4y = 2x - 10; y = 6 Prove: x = 17

Mathematics

1 answer:

Ivenika [448]3 years ago

5 0

4y=2x-10

Plug in y

4(6)=2x-10

Simplify

24=2x-10

+10 to both sides

24+10=2x-10+10

Simplify

34=2x

÷2 both sides

17=x

x=17

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49 more than the quotient of an unknown number and 12 is 53

scZoUnD [109]

Let x is the unknown number
quotient of an unknown number and 12 : x/12
49 more than the quotient of an unknown number and 12 : x/12 + 49

so equation:

x/12 + 49 = 53

6 0

3 years ago

A football field is 300ft long a sloth moving very quickly travels 60ft every 5 minutes based on this ratio how many minutes wou

Ipatiy [6.2K]

Answer:

25 minute

Step-by-step explanation:

Speed is the ratio of the total distance traveled to the total time taken to reach this distance. The formula for speed is:

Speed = total distance / total time taken

The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:

Speed = total distance / total time taken

speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.

We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)

speed = distance / time

12 ft/minute = 300 ft / time

time = 300 ft / (12 ft/minute)

time = 25 minute

4 0

3 years ago

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0

3 years ago

To add a positive number, move right on the number line. True False

Marianna [84]

Answer:

true

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A cheetah typically runs 15 miles in 1/5 hours how fast dose a cheetah run in miles/hours

FromTheMoon [43]

Answer:

in an hour the distance it can carry is 75 miles, so the typical distance for an hour is 75 miles per hour

Step-by-step explanation:

6 0

3 years ago