Answer:
a) (x + 2)(x + 8) ; b) (x + 4)(x + 3) ; c) (x + 12) (x + 1)
Step-by-step explanation:
Think about what would add to make the 'b' and multiply to make the 'c' using this equation: ax² + bx + c
a) (x + 2)(x + 8)
b) (x + 4)(x + 3)
c) (x + 12) (x + 1)
Answer:
Explanation:
Order the letters of each day, omitting the repetitions:
MONDAY:
TUESDAY:
WEDNESDAY:
THURSDAY:
FRIDAY:
SATURDAY:
SUNDAY:
Put the letters together:
Delete the repetitions:
Reorder:
and (4, 0)
(–5, 0) and (2, 0)
(–2, 0) and (5, 0)
The x-intercepts of the given function are (2.5, 0) and (-4, 0)
From the question, we are to determine the x-intercepts of the given function
The given function is
f(x) = –2x² – 3x + 20
To determine the x-intercepts of the function, we will determine its zeros
That is, we would solve
0 = –2x² – 3x + 20
This can be rewritten as
2x² + 3x - 20 = 0
Solve by factoring
2x² + 8x - 5x - 20 = 0
2x(x + 4) -5(x + 4) = 0
Then,
(2x - 5)(x +4) = 0
2x - 5 = 0 OR x +4 = 0
2x = 5 OR x = -4
x = 5/2 OR x = -4
x = 2.5 OR x = -4
Hence, the x-intercepts of the function are (2.5, 0) and (-4, 0)
Learn more on Solving quadratic equations here: brainly.com/question/14490818
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7.32 m
B.
9.48 m
C.
9.56 m
D.
33.80 m
Answer:
The correct option is C. 9.56 meter
Step-by-step explanation:
∠D = 54° , ∠F = 32°
Now, Using angles sum property of a triangle
∠D + ∠F + ∠E = 180°
⇒ 54° + 32° + ∠E = 180°
⇒ ∠E = 180 - 86
⇒ ∠E = 94°
Now, Using sine rule in the triangle DEF
Hence, The correct option is C. 9.56 meter
The distance from balloon to the western station is 495 miles.
Explanation:
The distance between two weather stations are 165 miles.
The angle of the regular triangle bearing from the western station is given by
90° - 40° = 50°
The angle of the regular triangle bearing from the eastern station is given by
90° + 22° = 112°
The angle of the balloon is given by
180° - 50° - 112° = 18°
Now, to find the distance of the balloon from the western station, let us use the law of sines formula,
Let us substitute the values.
Where and
Thus, we have,
Multiplying both sides of the equation by sin 112, we get,
Simplifying, we have,
Thus, the distance from balloon to the western station is 495 miles.