Part A: -x+y=5
+x +x
y=x+5
4x+x+5=10
5x+5=10
-5 -5
5x=5
x=1
1(-x) +y=5
-1+y=5
+1 +1
y=6
The solution is (1,6)
Part B:
-x+y=5
-1+6=5
5=5
4x+y=10
4(1)+6=10
4+6=10
10=10
Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = of c
i.e b = ............... 1
2c = 5b
So that;
c = .................... 2
Also,
4a = 3c
a = ................ 3
⇒ a = × ()
a = ................. 4
15b = 8a
b = ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = : = 4:5
From equations 1 and 2,
b:c = : = 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15
Answer:
The solutions to the equation are -3,-2,2
Step-by-step explanation:
x^3+3x^2=4x+12
Subtract 4x +12 from each side
x^3+3x^2-4x-12=4x+12-4x-12
x^3+3x^2-4x-12=0
I will use factoring by grouping
x^3+3x^2 -4x-12=0
I will factor out x^2 from the first group and -4 from the second group
x^2 (x+3) -4(x+3) =0
Now we can factor out (x+3)
(x+3) (x^2-4) =0
We can use the zero product principle since the right hand side is equal to 0
x+3 =0 x^2-4 =0
x+3-3=0-3 x^2 -4+4=0+4
x=-3 x^2=4
Take the square root of each side
sqrt(x^2) = sqrt(4)
x=±2
The solutions to the equation are -3,-2,2
You just add the x’s up and move the 2 over to make x the subject.
Answer:
Building height is measured from finished grade located within 2 feet of the foundation wall to the highest point on the building or structure. ... The building height is the vertical distance between finished grade and the highest point on the building, provided that the measured elevation does not include fill or berms.