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Inga [223]
2 years ago
5

Find the coordinates of the midpoint of a segment with the given endpoints.

Mathematics
1 answer:
Step2247 [10]2 years ago
3 0

Answer:

a. (1,2), b. (1, 0)

Step-by-step explanation:

a.

\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-3+5}{2},\frac{5+(-1)}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{4}{2}\\\text{Simplify.}\\1,2\\\text{The midpoint of (-3, 5) and (5, -1) is (1, 2).}

b.

\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\\\text{Substitute the values.}\\\frac{-4+6}{2},\frac{-3+3}{2}\\\text{Evaluate the numerators.}\\\frac{2}{2},\frac{0}{2}\\\text{Simplify.}\\1,0\\\text{The midpoint of (-4, -3) and (6, 3) is (1, 0).}

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Thirty students at Eastside High School took the SAT on the same Saturday. Their raw scores are given next. 1,450 1,620 1,800 1,
IRISSAK [1]

Answer:

Number of students who scored atleast 1700 but less Than 2100 = 17

Step-by-step explanation:

Given the data :

1,450 1,620 1,800 1,740 1,650 1,800 2,010 1,780 1,840 1,490 1,620 1,480 2,390 1,640 1,830 1,710 1,900 1,910 1,950 1,820 1,590 2,350 2,260 1,870 1,530 1,950 2,000 1,830 1,980 2,100

Class interval __ Frequency

1400 - 1599 ____ 5

1600 - 1799 ____ 7

1800 - 1999 ____12

2000 - 2199 ___ 3

2200 - 2399 ___ 3

Number of students who scored atleast 1700 but less Than 2100 = 17

8 0
2 years ago
During the first part of a hike, Andre drank 1.5 liters of the water he brought. If this 50% of the water he brought, how much d
8090 [49]

Answer:

3 liters

Step-by-step explanation:

if 1.5 liters is 50% of the original amount, then to find the original amount you must multiply by two, or:

1.5 liters ×2=3 liters

8 0
3 years ago
Read 2 more answers
14α - (2a + 9) = 3 (12a - 18)
Leona [35]

Answer:

a = 2 5/8

Step-by-step explanation:

14a - (2a + 9) = 3 (12a - 18)

14a - 2a + 9 = 36a - 54

12a + 9 = 36a - 54

12a - 36a = -54 - 9

-24a = -63

a = -63/-24

a = 21/8

a = 2 5/8

3 0
3 years ago
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My name is Ann [436]

Answer:

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Step-by-step explanation:

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4 0
1 year ago
Select all of the solutions to the equation below.
Arada [10]

Answer:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

Step-by-step explanation:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

8 0
2 years ago
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