We need a system of equations to solve this. "Difference" is to subtract, and we are taking this difference of the 2 squared unknowns to be 20. That equation is
. Our "first number is x^2, so 3 times that is 3x^2. "Increased by" is adding to that first number. What we are adding is the second number. The second equation is
. Let's solve the first equation for x^2:
and sub that value for x^2 into the second equation.
and
. Subtract 60 from both sides and combine the y^2 terms to get
. Divide both sides by 4 to get y^2 = 16 and y = 4. Let's go back now and solve for x. We will use the fact that y^2 = 16 to solve for x^2 and then take the square root of it.
, x^2 = 4, so x = 2. Your solutions are x = 2 and y = 4. There you go!
Answer:
c = 100, a = 50, s = 20
Step-by-step explanation:
following information is missing from the question
6c + 7a + 2s = 990
3c + 3a + 4s = 430
2c + 4a + 4s = 480
If you solve the equation by putting in the values given in the option you will deduce that only option d matches LHS to the RHS
Lets see how,
6c + 7a + 2s = 990
where, c = 100, a = 50, s = 20
6(100) + 7(50) + 2(20) = 990
600 + 750 + 40 = 990
990 = 990 hence true
2c + 4a + 4s = 480 where, c = 100, a = 50, s = 20
2 (100) + 4 ( 50) + 4 (20) = 480
200 + 250 + 80 = 480
See for the other option too with the same steps done above to have a more clear understanding :)
Answer:
Perimeter is 35 units.
Step-by-step explanation:
A heptagon has 7 equal sides.
Given the length of two consecutive vertices, A(-2-5) and B(1,-9).
We can find the length of AB and multiply by 7.
Recall the distance formula;
The length of AB is
Therefore the perimeter is 
.
Answer:10.25-r= hourly rate
Step-by-step explanation:
