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hoa [83]
3 years ago
11

15. Which expression can go in the blank to make the equation true?

Mathematics
1 answer:
topjm [15]3 years ago
6 0
The answer is A
-6.9+6.8 is equal to -0.1, and -5.4+5.5 is 0.1. If you add those two together, you get zero.
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Given A(2,0) and B(8,4), show that P(3,5) is on the perpendicular bisector of line AB by these 2 methods
Shalnov [3]

1) First we need to find midpoint M of segment AB.

... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)

Then vector AB is B-A = (8-2, 4-0) = (6, 4)

and vector PM is P-M = (3-5, 5-2) = (-2, 3)

The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.

The product of these slopes is -1, indicating these vectors are perpendicular.

2) Vector PA is P-A = (3-2, 5-0) = (1, 5).

Vector PB is P-B = (3-8, 5-4) = (-5, 1).

The lengths of both of these vectors are √(1²+5²) = √26.

7 0
3 years ago
Find the length of the hypotenuse in the following right triangle
Sergio [31]

Answer:

25

Step-by-step explanation:

take the square root of 24^2+7^2

4 0
3 years ago
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Write the equation of a vertical line that passes through the point (–4, 4).
FinnZ [79.3K]
The question asks for a vertical line, and if it is vertical, it cannot be y = ... because that is horizontal. We also know it passes through the x-coordinate of -4, so the answer is x = -4. 
4 0
3 years ago
Ramona is a saleswoman whose base plus commissions amounted to $52,561 last year. If her base pay was $23,960 and she made $77,3
Ksju [112]

Answer:

37%

Step-by-step explanation:

If Ramona received an overall pay of $52,561 last year, $23,960 of which was base pay, we can first subtract these two numbers to find the amount she made from her sales commission:

$52,561 - $23,960 = $28,601

In order to find her percent commission, we can set up a proportion:

\frac{p}{100}=\frac{28,601}{77,300}, where 'p' is her rate of commission

Cross-multiply and divide:  100(28601) = 77300x or 2,860,100 = 77,300x

Or x = 37%

8 0
3 years ago
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PLEASE HELP!!!
viktelen [127]

The answer is 3/5.


\frac{1}{3} *\frac{3}{5} =\frac{3}{15} \\ \\ \frac{3}{15} *\frac{3}{5} =\frac{9}{75}


Continue this pattern and you'll see that it follows this geometric sequence

5 0
3 years ago
Read 2 more answers
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