Quick Algebra questions please :)
1 answer:
1. -4x² + 11x + 2 = 0
x = -(11) ± √((11)² - 4(-4)(2))
2(-4)
x = -11 ± √(121 + 32)
-8
x = -11 ± √(153)
-8
x = -11 ± 3√(17)
-8
x = -11 ± 3(4.1)
-8
x = -11 ± 12.3
-8
x = -11 + 12.3 or x = -11 - 12.3
-8 -8
x = 1.3 or x = -23.3
-8 -8
x = -0.1625 or x = 2.9125
x ≈ -0.2 or x ≈ 2.9
The answer is B.
2. 4x² - 3 = 11x
4x² - 11x - 3 = 0
x = -(-11) ± √((-11)² - 4(4)(-3))
2(4)
x = 11 ± √(121 + 48)
8
x = 11 ± √(169)
8
x = 11 ± 13
8
x = 11 + 13 or x = 11 - 13
8 8
x = 24 or x = -2
8 8
x = 3 or x = -0.25
The answer is C.
3. g(x) = -1(x + 2)² + 5
g(x) = -1(x + 2)(x + 2) + 5
g(x) = -1(x(x + 2) + 2(x + 2)) + 5
g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
g(x) = -1(x² + 2x + 2x + 4) + 5
g(x) = -1(x² + 4x + 4) + 5
g(x) = -1(x²) - 1(4x) - 1(4) + 5
g(x) = -x² - 4x - 4 + 5
g(x) = -x² - 4x + 1
x = -(11) ± √((11)² - 4(-4)(2))
2(-4)
x = -11 ± √(121 + 32)
-8
x = -11 ± √(153)
-8
x = -11 ± 3√(17)
-8
x = -11 ± 3(4.1)
-8
x = -11 ± 12.3
-8
x = -11 + 12.3 or x = -11 - 12.3
-8 -8
x = 1.3 or x = -23.3
-8 -8
x = -0.1625 or x = 2.9125
x ≈ -0.2 or x ≈ 2.9
The answer is B.
2. 4x² - 3 = 11x
4x² - 11x - 3 = 0
x = -(-11) ± √((-11)² - 4(4)(-3))
2(4)
x = 11 ± √(121 + 48)
8
x = 11 ± √(169)
8
x = 11 ± 13
8
x = 11 + 13 or x = 11 - 13
8 8
x = 24 or x = -2
8 8
x = 3 or x = -0.25
The answer is C.
3. g(x) = -1(x + 2)² + 5
g(x) = -1(x + 2)(x + 2) + 5
g(x) = -1(x(x + 2) + 2(x + 2)) + 5
g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
g(x) = -1(x² + 2x + 2x + 4) + 5
g(x) = -1(x² + 4x + 4) + 5
g(x) = -1(x²) - 1(4x) - 1(4) + 5
g(x) = -x² - 4x - 4 + 5
g(x) = -x² - 4x + 1
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Answer:
Step-by-step explanation:
hey there!!!
we know already that the area of a triangle is given as
where b= base
and h= heigth
Given that the height is 5 times more than twice it base
let h= 2b+5
Now we substitute h=2b+5 in the area of the triangle