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ira [324]
2 years ago
12

40 points please help

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

IJKL is a rectangle, so opposite sides have the same length:

• IJ = KL   ⇒   6y - 6 = 2x + 20

• JK = IL   ⇒   3x + 21 = 6y

Substitute the second equation into the first and solve for x :

6y - 6 = 2x + 20

(3x + 21) - 6 = 2x + 20

3x + 15 = 2x + 20

x = 5

Solve for y :

3x + 21 = 6y

15 + 21 = 6y

36 = 6y

y = 6

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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
Which table shows equivalent times in minutes and seconds
olchik [2.2K]
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8 0
2 years ago
Find in slope standard form 3х – 5y = 10
dexar [7]

Answer:-5y=-3x+10

Divide all by -5

Y= 3/5x+10/-5

Negative divide by negative is positive--3/-5= 3/5

Slope is 3/5 y intercept is -2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negat
Aleksandr-060686 [28]

Answer:

i think its A

Step-by-step explanation:

divide both sides by -2 which makes the y int -3 and A has a negative slope

6 0
2 years ago
On August 7, 2007 Barry Bonds hit his 756th home run, breaking the all-time career home run record, formerly held by Hank Aaron.
svp [43]

From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

-------------------------------

  • From the stemplot, it can be taken that Bonds had the biggest outlier, which was the season with 73 home runs.
  • His season with the lowest amount of home runs was also less than Aaron, as he had a 5 home run season while Aaron lowest amount was 10.
  • They both had a lot of seasons with at least 20 home runs, so both very consistent.

Thus, we can take that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

A similar problem is given at brainly.com/question/24341344

4 0
2 years ago
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