Answer:
Subsitution
Step-by-step explanation:
We have the equations:
x=2y-1
3x+y=11
The 3 methods of solving systems of equations are:
graphing
substitution
addition/elimination
Graphing involves graphing the two equations and finding their point of intersection, which is the answer
Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers
Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before
Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.
Therefore, substitution is the best method to solve this graph.
hope this helps!
Answer:
48
Step-by-step explanation:
Answer:C
Step-by-step explanation:
9 x 3 = 27
First, we'll find the area of the base. (To find the volume of any prism, find the area of the base, then multiply by the length/height.) It consists of a rectangle and a semicircle put together. To find the area of the semicircle, we'll just use the formula for the area of a circle, then divide by two. Area of a circle = radius² × 3.14. If the diameter of this circle is 8, then halve that to find the radius, which is 4. 4² = 16. 16 × 3.14 = 50.24. Now, 50.24/2 = 25.12. 25.12 is the area of the semicircle. Then, find the area of the rectangle. Formula for that is base × height. 6 × 8 = 48. Now add the two areas. 25.12 + 48 = 73.12.
Simply multiply that area by the length to find the volume. 73.12 × 15 = 1096.8.
The volume of the mailbox is 1,096.8 in³. (Don't forget to label!)
Hope that helped!
Answer:
∠ 2 = 104°
Step-by-step explanation:
- 8x - 48 = 9x + 275 [ alternate angles are equal ]
-8x - 9x = 275 + 48
-17x = 323
x = -19
9x + 275 = 9 × -19 + 275
= - 171 + 275
= 104°
∠ 2 = ( 9x + 275 ) [vertically opposite angles ]
∠ 2 = 104°