Answer:
The solution of system of equation is (-2,0)
Step-by-step explanation:
Given system of equation are
Equation 1 : 2x+y=(-4)
Equation 2 : y+
x=(-1)
To plot the equation of line, we need at least two points
For Equation 1 : 2x+y=(-4)
Let x=0
2x+y=(-4)
2(0)+y=(-4)
y=(-4)
Let x=1
2x+y=(-4)
2(1)+y=(-4)
y=(-6)
Therefore,
The required points for equation is (0,-4) and (1,-6)
For Equation 2 : y+x=(-1)
Let x=0
y+x=(-1)
y+(0)=(-1)
y=(-1)
Let x=2
y+x=(-1)
y+(2)=(-1)
y=(-2)
The required points for equation is (0,-1) and (2,-2)
Now, plot the graph using this points
From the graph,
The red line is equation 1 and blue line is equation 2
Since. The point of intersection is solution of system of equations
The solution of system of equation is (-2,0)
Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
<h3>
Answer: C) incenter</h3>
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Explanation:
If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.
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extra notes:
* The centroid is found by intersecting at least two median lines
* The circumcenter is found by intersecting at least two perpendicular bisector lines
* The orthocenter is found by intersecting at least two altitude lines
* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.
* The red lines cut each angle of the triangle into two equal or congruent pieces.
Answer:
Add all three side measures together
Step-by-step explanation:
That is how you find the perimeter of most shapes.
Hope this helps! :)
