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jazmaine1217
20.08.2020 •
Mathematics
I will give you 30 points ? Need it quick please
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Ответ:
x = 4
Length = 19 feet
Width = 11 feet
Step-by-step explanation:
Area = Length x Width
Area = 209 ft²
Length = (4x + 3)
Width = (4x - 5)
Find:
x
Length
Width
Area = Length x Width
209 = (4x + 3) * (4x - 5)
209 = 16x² - 8x - 15
16x² - 8x - 15 = 209
16x² - 8x - 15 - 209 = 209 -209
16x² - 8x - 224 = 0
use quadratic equation to solve x:
-(-8) + sqrt( -8² - 4 * 16 * (-224))
x =
2 * 16
x = 4, x = -(7/2) therefore use x = 4
solve for L:
Length = (4x + 3)
Length = (4 * 4 + 3)
Length = 19 feet
solve for W:
Width = (4x - 5)
Width = (4 * 4 - 5)
Width = 11 feet
check:
Area = Length x Width
209 = (4x + 3) * (4x - 5)
Area = Length x Width
209 = 19 * 11
209 = 209 OK
Ответ:
Explanation:
(4x + 3)(4x - 5) = 209
I did guess and check:
Plug x = 2
(4(2) + 3)(4(2) - 5) = 209
(13)(3) = 209
39 is not equal to 209
Plug x = 3
(4(3) + 3)(4(3) - 5)
= 15 x 7
= 105 is not equal to 209
Plug x = 4
(4(4) + 3)(4(4) - 5)
= 19 x 11
= 209 is equal to 209
Therefore x = 4 is correct.
Find length:
4x + 3
4(4) + 3
= 19
Find width:
4x - 5
4(4) - 5
= 11
Ответ:
Um I only know one of them so
Step-by-step explanation: number 3 is 512