Complete the square for x and y.
7x^2 + 3y^2 - 28x - 12y = -19
7x^2 - 28x + 3y^2 - 12y = -19
7(x^2 - 4x) + 3(y^2 - 4y) = -19
7(x^2 - 4x + 4) + 3(y^2 - 4y + 4) = -19 + 28 + 12
7(x - 2)^2 + 3(y - 2)^2 = 21
Answer: 112.5
Step-by-step explanation:
The question really is asking whats 45% of 250
1. Calculate 10% of the total
2. Calculate 5% of the total
3. Solve for 40% of the total
4. Add 5% of the total
1. 10% of 250
250 = 100%
*divide both sides by 10*
25 = 10%
2. 5% of 250
25 = 10%
*divide both sides by 2*
12.5 = 5%
3. 40% of 250
10% + 10% + 10% + 10% = 40%
25 + 25 + 25 + 25 = 40%
50 + 50 = 40%
100 = 40%
4. 45% of 250
100 = 40%
12.5 = 5%
100 + 12.5 = 40% + 5%
<em>112.5 = 45%</em>
Answer:
The Length of third side is 52 units.
Step-by-step explanation:
Given:
Length of First side = 48
Length of second side = 20
Also given the angle between them is 90°.
Hence we can say figure shown is a right angled triangle.
For finding the third side we can use Pythagoras theorem which states that;
"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."
Hence substituting the values we get;
Now taking Square root on both side we get;
Hence Length of Third side is 52 units.
Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.
Step-by-step explanation:
Step 1
Let the amount that hina has be x
the amount that sara has be represented as 7+x
and the amount that Arslan have be represented as 3(7+x)
such that the total amount in their wallet which is 390 can be expressed as
x+7+x + 3(7+x)=390
Step 2
Solving
x+7+x +21+3x=390
5x+28=390
5x==390-28
x=362/5=72.4
Hina has RS 72.4
Sara =7+x==72.4+77= RS 79.4
Arslan =3(7+x)=3 x 79.4=RS 238.2
