Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
Answer : The different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Step-by-step explanation :
As see that, AB is a line segment in which point C is represented in between the line.
As we are given that:
AC = 3
CB = 7
So,
AC + CB = 3 + 7 = 10
Similarly,
CA + BC = 3 + 7 = 10
Similarly,
AB = AC + CB = 3 + 7 = 10
But,
BC - AC = 7 - 3 = 4
From this we conclude that, find AC + CB, find AB and find CA + BC are same things while find BC - AC is a different thing.
Hence, the different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Answer:
<h2>1529.4 m³</h2>
Step-by-step explanation:
Volume of a pyramid can be found by using the formula
a is the area of the base
h is the height
Since the base is a square we have
We have the final answer as
<h3>1529.4 m³</h3>
Hope this helps you
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
