Answer:
5x - 2y = -2
Step-by-step explanation:
When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.
Here, we are subtracting (-7x + 3y) from (-2x + y):
(-2x + y) - (-7x + 3y)
Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:
(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y
Now on the right side, we're subtracting 2 from 0:
0 - 2 = -2
Put it all together:
5x - 2y = -2
Hope this helps!
Answer:
Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:
We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:
Let us solve for x.
Therefore, the value of x is 7.2 inches.
AWNSER: $90.75
Shelly earns $90.75 in compound interest after 3 years. All together she has $695.75.
Given the circle has a radius of 64, to get the value of the radius,r we shall proceed as follows.
Area=πr^2
Thus;
64=πr^2
64/π=r^2
r^2=20.3718
r=sqrt(20.3718)
r=4.5135
Therefore the length of radius,r=4.5135 units
<span>Let A be the center of a circle and two angles at the adjacent center AOB and BOC. Knowing the measure of the angle AOB = 120 and the measure BOC = 150, find the measures of the angles of the ABC triangle.
</span>solution
Given the above information;
AC=AB, therefore ABC is an isosceles triangle.
therefore, BAO=ABO=(180-120)/2=30
OAC=OCA=(180-90)/2=45
OBC=BCO=(180-150)/2=15
THUS;
BAC=BAO+OAC=45+30=75
ABC=OBA+CBO=15+30=45
ACB=ACO+BCO=15+45=60
