1,000,000,000,000 is the answer
(5,24)
- The two areas are the same.
- To find the area, we multiply the side lengths. Y=area
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
- Since the two areas are same, we can conclude that
4x+4=6x-6
-2x=-10, x=5
- Since x is 5, we can plug it into the equations to find y.
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
Answer: X = (10x5)-5
Step-by-step explanation:
Answer:
Volume of block Jennifer bought:
V = side^3 = 12 x 12 x 12 = 1728 (in3)
Volume of sphere Jennifer wanted to make:
V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)
a, The number of spheres she can make:
N = 1728/33.5 = 51.58 = ~51
b, The area of remaining clay after she made a sphere:
A = 1728 - 33.5 = 1694.5 (in3)
Hope this helps!
:)
Answer: Sometimes
Step-by-step explanation:
A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.
A system of equations can intersect at one point; this is when the lines have different slopes.
A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line. The two equations would equal the same thing.
