x*3-5=40
x*3-5+5=40+5
x*3=45
x*3/3=45/3
x=15
Therefore, the number is 15.
Answer:
see below
Step-by-step explanation:
The component form of the polar coordinate pair (r, θ) is ...
(r, θ) ⇔ (r·cos(θ), r·sin(θ))
Then your point (2, 60°) translates to ...
(2, 60°) ⇔ (2·cos(60°), 2·sin(60°)) = (2(1/2), 2(√3)/2) = (1, √3)
Explanation:
The solution set for a system of equation is the set of points where the graphs of the equations intersect.
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<h3>general case</h3>
A system will have <em>one solution</em> if there is a <em>single point of intersection</em> of the graphs of the equations.
A system will have <em>no solutions</em> if the graphs have <em>no points of intersection</em>.
A system will have an <em>infinite</em> number of <em>solutions</em> if the graphs <em>intersect at an infinite number of points</em>.
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<h3>linear equations</h3>
When the equations are linear equations, their graphs are straight lines. If the lines have different slopes, they must intersect at exactly one point: there will be one solution.
If the lines have the same slope, there are two possibilities:
- the lines are parallel -- no solutions
- the lines are coincident -- infinite solutions
The attached graph illustrates these cases.
- the red and blue lines are the graphs of a system of equations with one solution. Those lines have different slopes
- the blue and green lines are the graphs of a system of equations with no solution. Those lines are parallel.
- The red and (dotted) purple lines are the graphs of a system of equations with infinite solutions. Those lines are coincident.
Answer: 45+n; when n=1.1, the value is 46.1 is the answer
Step-by-step explanation:
I took the practice page already
Answer:
The area of the shaded region is 30.5 cm^2.
Step-by-step explanation:
So, first you need to find the area of the circle and rectangle separately.
The diagram shows that the circle radius is 5 cm; use the formula pi*r^2 to solve for the area.
The area of this circle:
3.14*5^2
3.14*25
=78.5 cm
The area of this rectangle:
8 cm*6 cm = 48 cm
Now subtract the rectangle's area from the area of the circle.
78.5-48 = 30.5 cm