Answer:
Step-by-step explanation:
1. Move the 6 to the other side: x^2 +4x =6
2. Square half the coefficient of the x term: (4/2)^2 = 4
3. Add this 4, and then subtract this 4, from x^2 + 4x:
x^2 +4x + 4 - 4 =6
4. Rewrite this perfect square as the square of a binomial:
(x + 2)^2 - 4 = 6
5. Add 4 to both sides: (x + 2)^2 = 10
6. Find the sqrt of both sides: x + 2 = √
Answer: See explanation
Step-by-step explanation:
Total water fetched = 24 pints.
Jill drank a tenth of this. This will be:
= 1/10 × 24
= 2.4 pints
Jack drank a quarter. This will be:
= 1/4 × 24 = 6.
They gave three eighths to dame Dob . Thus will be:
= 3/8 × 24
= 9
They gave a fifth to jill's mother. This will be:
= 1/5 × 24.
= 4.80
Amount that'll be left over will be:
= 24 - (2.40 + 6 + 9 + 4.80)
= 24 - 22.2
= 1.8
1.8 pints of water will be left over.
Answer:
2/3
Step-by-step explanation:
2/12+4/9
Find a common denominator
16/72+ 32/72
48/72
Simplify
=2/3
Hope this helps
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The two linear equations in two variable is:
12 x + 3 y = 40
7 x - 4 y = 38
(a) For a system of equations in two Variable
a x + by = c
p x + q y = r
It will have unique solution , when

As, you can see that in the two equation Provided above

So, we can say the system of equation given here has unique solution.
(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.
1. 12 x+3 y=40
2. 7 x-4 y=38
Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),
L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)
= 30 -10.20
= 19.80≠ R.H.S that is 40.
Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)
= 17.5 +13.6
= 31.1≠R HS that is 38
So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.