Volume of cylinder A = π(12^2/4) x (40/2) = 2,262 cubic feet which will be hauled by locomotive BR73.
Volume of cylinder B = π(8^2/4) x 24 = 1,206 cubic feet which will be hauled by locomotive CG35.
Volume of cylinder C = π(16^2/4) x 16 = 3,217 cubic feet which will be hauled by locomotive YH61.
Volume of cylinder D = π(6^2/4) x 12 = 339 cubic feet which will be hauled by locomotive A450.
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0
answer is third one
Answer: Sample Response :Use the linear combination method.
Multiply the first equation by –2 to create opposite terms for x.
Multiply the first equation by –4 to create opposite terms for y.
Add the system of equations to eliminate a variable.
Step-by-step explanation:
Answer:
<h2>D. addition property of inequality</h2>
Step-by-step explanation:
Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6
From step 3;
-6x − 8 < -2
Michael got the step 4 by adding 8 to both sides of the inequality as shown;
-6x − 8 + 8 < -2 + 8
-6x < 6 (Step 4)
Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>
Answer:
C
Step-by-step explanation:
The y intercept is 2 and if you do the rise/run you'll find that the slope has to be 1/2
this means our equation has to be
1/2x+2