Solve. 3/4 + 4/4 = ?/?
1 answer:
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Answer:
The value of angle B is 33.69°
Step-by-step explanation:
You can find out using Tangent Rule, tanθ = oppo./adj. where opposite and adjacent are the length of triangle :
oppo. = AC = 6 units
adj. = BC = 9 units
θ = ∠B
tan ∠B = AC/BC
tan ∠B = 6/9
∠B = tan^(-1) (6/9)
= 33.69° (near. hundredth)
Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
