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3241004551 [841]
3 years ago
11

The endpoints of a segment are (4,2) and (-2,2). What are the endpoints of the segment after it has been translated 6 units down

?
Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0
(4,-4) and (-2,-4)

hope that helps!
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3x-7>8 and -3x ≥-36 solve the inequality
tamaranim1 [39]

Good evening,

Answer:

x > 5

x ≤ 12

Step-by-step explanation:

Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.

On a number line, an inequality sign without the “equal to” is plotted with an open circe.

An inequality sign, with the “equal to” is plotted with a closed circle.

3x - 7> 8

Add seven on both sides, we do this because we want to eliminate the 7 from one side.

3x > 15

Divide both sides by 3, we do this because you want to get rid of the 3 from x.

x > 5

As for the second inequality.

Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.

x ≤ 12

For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.

For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.

A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.

7 0
3 years ago
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st
ohaa [14]

To find the how many  times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

The given exponent for gigabyte is,

10^9

The given exponent of megabyte is,

10^6

<h3>What is exponent rule?</h3>
  • The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.  
  • to change the negative exponent into a positive we have to invert the base.

Calculate the storage capacity.

\dfrac{10^9}{ 10^6}=10^9-6}\\&#10;\dfrac{10^9}{ 10^6}=10^3\\&#10;\dfrac{10^9}{ 10^6}=1000

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Learn more about exponent rule here:

brainly.com/question/2254060

8 0
2 years ago
Sarris daily tips this work week were $43, $32, $65, $88, $50 and $72. Is Sarah correct in thinking that the mean accurately rep
ella [17]
The answer is A.

Add all the number values together and then divide it by the number of values you have: 43+32+65+88+50+72=350
350/6=58.33
7 0
3 years ago
What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
Carly went shopping and bought a pair of pants for $25.00. She also purchased a shirt for $35.00, They were on sale for 20% off.
Anna007 [38]

Answer:

The answer is $12

Step-by-step explanation:

Multiply each price by 20% (0r .2) then add them. OR

Add each price then multiply them by 20$ (or .2)

Hoped this helped!

7 0
2 years ago
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