Answer:
his neighbors
Step-by-step explanation:
there are 48 hours in 2 days, which means that his neighbors power was out longer.
Answer:
233.5 in²
Step-by-step explanation:
First we have to find the slant height.
5²+14²=c²
25+196=c²
221=c²
c=14.866
Now we can find the lateral area.
rl
(5)(14.866)
=233.51566
To the nearest tenth=
233.5 in²
Answer:
a. 0.588
b. 0.0722
c. 4.576 sqft/sec
Step-by-step explanation:
Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, because it is a right angle triangle.
It is given that
Now differentiate (1) with respect to t (time) :
The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.
b. From the diagram, infer that . When b = 8, then .
Differentiate the above equation w.r.t t
c. The area of the triangle is given by . Differentiating w.r.t t,
Plugging in b = 8, h = 13.856, ,
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C