Answer: The ordered pair is (2,3)
Step-by-step explanation:
To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:
x + 1 = -x + 5
The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.
Move the variables to one side and the numerical values to another:
x + x = 5 - 1.
Simplify.
2x = 4
Simplify.
x = 2.
Now, we got our x value, we can substitute it into our problem:
y = 2 + 1
y + -2 + 5
2 + 1 = - 2 + 5 = 3
Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).
I suppose you want to find the Volume of this Figure.
you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30
you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620
then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916
Therefore the Figure takes up 2916 cm^3 of space.
Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7
and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so
to find the intersection, yo just find when both sentances are correct so
y=7
subsitute that into y=1/2x+6
7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x
so the point (2,7) is the intersection
I believe the area of the blank rectangle, the biggest one, is 2800. The whole rectangle all together is 3225.
Explanation:
Since the length of one of the rectangles is 70, the rectangle with an area of 210 will have a side length of 3. This means the rectangle with an area of 15 has a side length of 5. <em>That</em> means the rectangle with an area of 200 has a side length of 40. Therefore, the blank rectangle has an area of 2800, as it's 2 side lengths are 70 and 40.
3 and what?
if it is 3 and 5 than the answer would be 15