Answer:
<em>f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is </em><em>190.26 kW</em>
Step-by-step explanation:
The given polynomial function is,
where,
x represents the wind speed in meters per second,
y represents the kilowatts generated.
Putting x=10, we can get the value of f(10).
So,
Therefore,at x=10 or when the wind speed is 10 m/s, then y or the power generated by the wind turbine will be 190.26 kW
We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
<em>By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.</em>
Therefore, option C is correct option.
<h3>
C. Similar - AA.</h3>
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Answer:
f(x + 1) = 3x² + 5x + 7
Step-by-step explanation:
To find f(x + 1), substitute x = x + 1 into f(x), that is
f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL
= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3
= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms
= 3x² + 5x + 7
