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:28inches & 84inches
First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...
112=3x+x
Now lets solve for x.
112=4x
divide both sides by 4
28 inches=x
Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.
28*3=84 inches
28+84=112
Answer:
she messed up on step two because she has to subtract 10 from both sides
Step-by-step explanation:
step 1: -6(x+3)+10<-2
step2:-6(x+3)+10-10<-2-10
step3: -6(x+3)<-12
step4: (-6)(x+3)(-1)≥(-12)(-1)
step5:6(x+3)>12
step6:divide both sides by 6
step7:simplify and subtract 3 from both sides and then simplify again
Answer:
Only the first point lies on the line and thus, Anders is incorrect
Step-by-step explanation:
Here, we want to show that Anders is incorrect
we simply substitute the values of his coordinates into the equation of the line
for (10,420)
we have;
420 = 40(10) + 20
420 = 420
This is right
We now test the second given point;
-420 = 40(-10) + 20
-420 = -400 + 20
-420 is not -380