Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
( y^2 +1) ( x^2+1)
Step-by-step explanation:
Step 1 ) Factor out x^2 from the expression
x^2 (y^2+1)+y^2+1
Step 2) Factor out y^2 from the expression
(y^2+1) (x^2+1)
Solution is ( y^2 +1) ( x^2+1)
Well first off here we know that one of the figures here is 24 and the other one is 18 so immediatly we can make a fraction out of this by putting the bigger number on the bottom as the denominator and the smaller number on the top as the numerator like so 18/24 we also know that this fraction can easily be simplified like so 3/4 (because 6 goes into each of them evenly) so the scale factor of these 2 figures is 3/4 or C.Enjoy!=)
Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2
