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3 years ago

HURRY If the midpoint of a segment is (-1, 5) and one endpoint is (1, 7), find the other endpoint.

Mathematics

2 answers:

Zigmanuir [339]3 years ago

5 0

Answer:

(-3, 3)

Step-by-step explanation:

The points are easy to plot on a graph to see where the other endpoint should be. See the attached image.

You can also look at the problem this way:

Start at the midpoint and go to the given endpoint, paying attention to how far right/left and up/down you go, a bit like following streets and avenues.

From (-1, 5) TO (1, 7), you go right 2, then up 2. Now go back to the midpoint and reverse those two motions.

From (-1, 5) go left 2, then down 2. You are at the other endpoint, (-3, 3).

kodGreya [7K]3 years ago

3 0

Answer:

3, 9 is your answer

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What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Mandarinka [93]

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

7 0

4 years ago

Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).

BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

Solution:

Two payment options to rent a car

Let "x" be the number of miles driven in one day

You can pay $20 a day plus 25¢ a mile (Option A)

25 cents is equal to 0.25 dollars

OPTION A : 20 + 0.25x

You pay $10 a day plus 50¢ a mile (Option B)

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

For what amount of daily miles will option A be the cheaper plan ?

For option A to be cheaper, Option A must be less than option B

Option A < Option B

$20 + 0.25x < 10 + 0.50x$

Solve the inequality

Add -0.50x on both sides

$20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10$

Add - 20 on both sides,

$20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$0.25x > 10$

Divide both sides by 0.25

$x > 40$

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0

3 years ago

Find all the factor pairs for 84 and complete the equations.

VMariaS [17]

1. 84 = 1 x 84

2. 84 = 2 x 42

3. 84 = 3 x 28

4. 84 = 4 x 21

5. 84 = 6 x 14

6. 85 = 7 x 12

Hope this helps!

5 0

3 years ago

Mateo teaches a continuing education class at the library on tuesday nights. he estimates that 75% of his students are satisfied

vredina [299]

The computed value must closely match the real value for a model to be considered valid. If the percentage of pleased or very satisfied students remains close to 75% after Mateo surveys additional students, Mateo's model is still viable. The model is faulty if the opposite is true.

<h3>How will mateo know whether his model is valid or not?</h3>

In general, a valid model is one whose estimated value is close to the real value. This kind of model is considered to be accurate. It must be somewhat near to the real value if it doesn't resemble the real value.

If the findings of the survey are sufficiently similar to one another, then the model may be considered valid.

P1 equals 75%, which is the real assessment of the number of happy pupils

P2 is 70 percent; this represents the second assessment of happy pupils

In conclusion, The estimated value of a model has to be somewhat close to the real value for the model to be considered valid. If the number of students who are either pleased or extremely satisfied remains close to 75 percent following Mateo's survey of more students, then Mateo's model is likely accurate. In any other scenario, the model cannot be trusted.