Answer:
Myself answers:
Step-by-step explanation:
The surface area of the triangle prism, although not drawn to scale can only be:
D. 4320 square feet
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:

Step-by-step explanation:
Given



Required
Determine P
Since P divides the segment into 3:2, P is calculated using

Where



Substitute these values in the above formula:




Step-by-step answer:
Given:
two inequalities:
4-x <= -1 ........................(1)
2+3x >= 17......................(2)
Required: find the solution of the intersection of inequalities.
Solution:
Solution to (1):
4-x <= -1 transpose
4+1 <=x simplify
5 <= x rewrite
x >= 5
Solution to (2)
2+3x >= 17
3x >= 17-2
3x >= 15
x >= 5
The intersection of the two solutions x>=5 and x>=5 is therefore x>=5
Check:
x=4, => 4-4 = 0 >1 so not a solution
x=4, => 2+3(4) = 14 < 17 so not a solution
x=5, => 4-5 = -1 so a solution
x=5, => 2+3(5) = 17, so a solution.
similarly for 6, 7, ....
The angle addition postulates states that if an angle UVW has a point S lying in its interior, then the sum of angle UVS and angle SVW must equal angle UVW, or ?UVS + ?SVW= ?UVW.