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leonid [27]
3 years ago
7

What is the length of segment AC?

Mathematics
2 answers:
Kisachek [45]3 years ago
8 0

Answer: 10 units

Step-by-step explanation:

Margaret [11]3 years ago
7 0
You would have to use the Pythagorean theorem to solve this.

Step 1:
-Create a triangle using point (-5,-1)
Step 2:
-Find the base and height of the triangle created.
Base=distance from (-5,0) and point A, (3,-1).  (Base is 8 units)
Height=distance from (-5,0) to (-5,5).  (Height is 6 units)
Step 3:
Use the Pythagorean Theorem to find the hypotenuse length which is the line segment AC.
8^2+6^2=(AC)^2
64+36=(AC)^2
100=(AC)^2
10=AC
AC is ten units long
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Answer:

B. 15x^{4} + 2x³ - 8x² - 22x - 15

Step-by-step explanation:

1. (3x² - 2x - 3)(5x² + 4x +5)

15x^{4} + 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15

2. Combine like terms

15x^{4} + 2x³ - 8x² - 22x - 15

8 0
3 years ago
An office opens at 9am and closes at 5.30pm with a lunch break of 30minutes. What is the ratio of lunch break to the total perio
Alex777 [14]

Answer:

1:17

Step-by-step explanation:

Find out how long it it between 5.30pm and 9am. This is 8 hours 30 minutes or 510 minutes.

Now, arrange them in the ratio of Lunch Break to Total office time

30:510. This can be simplified to 1:17

Please check if the question is worded correctly, just in case. Because ratio questions are usually based on a part and the remaining parts of the same thing, and not part to whole.

Anyway. The answer given if for the question you have typed.

Hope this helps.

4 0
2 years ago
Read 2 more answers
What digits makes 3,71? Divisible by 3 (connections academy unit test)
wlad13 [49]

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3+7+1+0=11

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Now let us check other digits as well.

3+7+1+1=12

12 is divisible by 3.

3+7+1+4=15

15 is also divisible by 3.

3+7+1+7=18

18 is divisible by 3 as well.

Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.

6 0
3 years ago
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Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 ever
Jlenok [28]
First option:
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x=number of months

y=30x+500

Second option:

y=50x+200

We have this system of equations:

y=30x+500
y=50x+200

We can solve this system of equations by equalization method
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Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950. 
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