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zzz [600]
3 years ago
15

2x + 4 = 3(x – 2) + 1 simplify

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
2x + 4 = 3(x - 2) + 1
2x + 4 = 3x - 6 + 1
2x + 4 = 3x - 5
9 = x
So x = 9
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The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

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The base is about 2.18 meters and the height is about 7.35 meters.

3 0
2 years ago
Write an equation for this relationship.
disa [49]

Answer:

y=18.5x

Step-by-step explanation:

74-55.5=18.50

92.50-74=18.50

111-92.5=18.50

(3,55.50)

y=18.5x +b

55.50=18.5(3)+b

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8 0
3 years ago
Solve the equation 1/6(x - 5) = 1/2(x + 6)
Semmy [17]

Answer:

-23/2

Step-by-step explanation:

x-5=3(x+6)

x-3x=18+5

-2x=23

x=-23/2

5 0
2 years ago
Chan hee bought 3.4 pounds of coffee that cost $6.95 per pound how much did he spend on coffee
qaws [65]
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6 0
2 years ago
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each
m_a_m_a [10]

Answer:

Alright the answer is 40

Brainliest pls!

Step-by-step explanation:

7.50 + 6.25 + 26.25 = $40

8 0
2 years ago
Read 2 more answers
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