Answer:
55.94°
Step-by-step explanation:
Reference angle = x
Hyp = 25
Adjacent = 14
Apply CAH:
x = 55.9442023° ≈ 55.94° (to 2 d.p)
Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p
1 answer:
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List the factors of 60. Then look at the factors that are 3 apart, a difference of 3. This gives you 12 & 15.
12: 12, 24, 36, 48, 60
15: 15, 30, 46, 60
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
=
=
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )
