Answer:
f(x) = x² - 9
Step-by-step explanation:
Given x = a is a zero of the polynomial f(x) then (x - a) is a factor
Given zeros are x = 3 and x = - 3, then corresponding factors are
(x - 3) and (x - (- 3) ), that is
(x - 3) and (x + 3)
The function is then the product of the factors, that is
f(x) = (x - 3)(x + 3) ← expand using FOIL
f(x) = x² - 9
Answer:
b = 110°
Step-by-step explanation:
The sum of angles in a trapezoid is 360°
Summing the angles we get:
65°+55°+130°=250°
Then subtracting this value from 360° we get:
360°-250°=110°
Final answer of 110°
Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

1.96, if you multiply that by the length, (which is 2.5) then you will get the area of 4.9 hope this helps