Answer:
13.3
Step-by-step explanation:
If AM is 6 and MB is 4, the total length of AB is 10. The ratio of the sides ΔABC and ΔAMN is going to be 5:3 since that 10 divided by 6 can be simplified to 5 divided by 3. If AN is 8 and the ratio of AN to AC is 3:5, the value of AC could be rounded to 13.3.
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Answer:
y=1/4x+6
Step-by-step explanation:
An intersection point, is a shared coordinate. If the equations share a coordinate we can say they are "equal". There are two ways (algebraically) to find this point. Substitution or linear combination. Because the coefficients are different, let's use linear combination
First stack the equations on top of each other.
2x + 3y = 5
3x + 4y = 6
Next let's manipulate one or both of the equations to get coefficients that are equal, but opposite. For this I'm going to turn the coefficient of x into 6 and -6 respectively by multiplying the first equation by 3 and the second by -2 to get
6x + 9y = 15
-6x -8y = -12
Now we can combine the equations with addition and the x's will cancel leaving a single variable (which we can solve)
y = 3
Now plug this back into either original equation to find the x coordinate.
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2.
So your intersection point is (-2,3)
(1×3=3×1(-3,
Step-by-step explanation:
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Answer:
B. Graph 2 represents a proportional relationship, but graph 1 does not.
Step-by-step explanation:
All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.
Examples (all found in Graph 2):
15/3 = 5
10/2 = 5
5/1 = 5
