Answer:
.
Step-by-step explanation:
The relation between variable x and y is linear as the increase of y with respect to x is uniform.
That means the slope of the graph obtained from plotting the points on the coordinate plane is constant and it can be obtained by taking any two pairs of points.
Now, the equation of this straight line graph can be obtained from any two pairs of the given points.
Let us assume the points are (1,5) and (5,10)
Therefore, the required equation of the straight line is
⇒ 
⇒ 
⇒ 
⇒ . (Answer)
The mode is 55
i found this by doing
3(45) - 2(40)
= 55
to find the mode when given just the median and mode always use the formula of 3(median) - 2(median) hope this helped!
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
Answer:
47,04 miles
Step-by-step explanation:
you can clearly see something 20 feet away that you should be able to see from that distance. If a person can see 6 miles from a height of 25 feet, by dividing 196 by 25 we can get the following calculation
196 ÷ 25 = 7,84
Then you gan multiply
7,84 × 6 = 47,04 miles
Or equal to 75703,542 meters
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
