Answer:
See below
Step-by-step explanation:
Problem 1
If n is the smallest of the consecutive integers, the next integer would be n+1.
Problem 2
The equation is terms of n is going to be
s = n + n + 1 + n + 2 + n+3
Problem 3
Collect like terms on the right
s = 4n + 6
Problem 4
4n + 6 = s Subtract 6 from both sides
4n = s - 6 Divide by 4
n = (s - 6)/4
Problem 5
Solve for n when s = 2174
n = (2174 - 6)/4
n = 2168 / 4
n = 542
check
n = 542
n + 1 = 543
n + 2 = 544
n + 3 <u> = 545</u>
Total 2174 Just as it should
Two lines are perpendicular if their slope m and m' satisfy the equation
The slope of the given line is 4, because the line is written in the slope-intercept y=mx+q, where m is the slope.
So, the perpendicular slope is
So, we want a line with slope -1/4 and passing through (-1,3). We can use the formula
for the line passing trough (a,b) with slope m:
Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>
1,000 hits. 3£
1 hit. X
X= 1•3/1,000
X=3/1,000
X=0.003£
Good luck
Answer:
2
Step-by-step explanation:
3 3/5 : 1 4/5= 2/1 = 2
