Answer:
The table not represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have
For x=3, y=17
Find the value of k
----->
For x=5, y=27
Find the value of k
----->
For x=8, y=42
Find the value of k
----->
For x=9, y=47
Find the value of k
----->
The values of k are different
therefore
The table not represent a proportional relationship
<u><em>Find the slope of the line</em></u>
(3,17) and (9,47)
m=(47-17)/(9-3)=30/6=5
Find the equation of the line with m=5 and point (3,17)
y-y1=m(x-x1)
substitute
y-17=5(x-3)
y=5x-15+17
y=5x+2
This is the linear equation that represent the points in the table, but this equation not represent a proportional relationship (The line not passes through the origin)
B x =-6 or x=-8 is the answer
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
63 cookies because 5 1/2 = 66 minus 3= 63 cookies
Answer:
d. AAS
Step-by-step explanation:
These triangles can be proven congruent through AAS, or angle, angle, side. This means that two angles and one nonincluded side are congruent. Two sides are marked as congruent through a tick mark, and one angle pair is marked by one arc on each angle. We also know that the middle angles, that are connected, are congruent because they are vertical angles. Therefore, they are congruent, which can be proven by AAS.