Which problem is modeled on the number line? 3+(-6) -3+(6) 3+6 -3+6
1 answer:
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Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
or x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
=
= 
= 
=
so the answers for x are and 
which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=
ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
so the answers for x are
so it would be
(x-[-8+√102])(x+[8+√102])=0