Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in <em>a</em> to find <em>b</em>
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
1. Construct a circle of arbitrary radius (r₁) with center at point P (blue circle)
2. Mark the points of intersection of the circle with the line AB (points E and D)
3. Construct two circles of identical radii (r₂) with centers at points E and D (green and red circles). Notice: r₂ > r₁
4. Draw a segment through the intersection points of the green and red circles.
Answer:
in scientific notation....14×10^12miles
General Idea:
We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.
Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).
To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.
Formula Used:

Applying the concept:
Volume of Small Cube:

Conclusion:
The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>
Answer:
the answer is $60
Step-by-step explanation:
5x12=60