9-2(-3)+6= 9+6+6 Your answer should be 21 if I read your question correctly
Answer:
Step-by-step explanation:
Area of a square = s²
s is the side length of the square
Given
s = 2^{7 1/2}
s = 2^15/2
Area = ( 2^15/2)²
Area = 2^15
Hence two area of the square is 2^15 inches
Answer:
(5,354 + x)
or
536.4*x
Step-by-step explanation:
We know that x = 10.
Now we want to write an expression (in terms of x) for the number 5,364.
This could be really trivial, remember that x = 10.
Then: (x - 10) = 0
And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.
5,364 = 5,364 + (x - 10) = 5,364 + x - 10
5,364 = 5,354 + x
So (5,354 + x) is a expression for the number 5,364 in terms of x.
Of course, this is a really simple example, we could do a more complex case if we know that:
x/10 = 1
And the product between any real number and 1 is the same number.
Then:
(5,364)*(x/10) = 5,364
(5,364/10)*x = 5,364
536.4*x = 5,364
So we just found another expression for the number 5,364 in terms of x.
Let the equation be:
y = ax^2 + bx + c.
Then, substitue the three points into the equation.
First point: 0 = a0^2 + b0 + c.
So c = 0.
Second point: -2 = a(-1)^2 + b(-1) + c.
So a - b + c = -2.
Third point: 6 = a*1^2 + b*1 + c.
So a + b + c = 6.
We know that c=0 already, so we substitute c=0 into the last two equations and we would get:
a - b = -2
a + b = 6
We add the two equations and we get:
2a = 4
a = 2
Then, we substitute a=2 into a-b=-2 and we get:
-b = -4
b = 4
Now we know a = 2, b = 4, and c = 0
Then, the equation of the parabola would be:
2x^2 + 4x
Answer:
(x,y,z)=( -2, -1 ,5)
Step-by-step explanation:
9x+2y-27z=-155 (1)
-11x-y+37z=208 (2)
19x+6y-52z=-304 (3)
(1) *3 ;(2) *6 ;(3)*1, you have
27x+6y-81z=-465 (1)
-66x-6y+222z=1248 (2)
19z+6y-52z=-304 (3)
(1) +(2), you have
-39x+141z= 783 (4)
(4) /3, you have
-13x +47z=261 (4)
(2) +(3), you have
-47x+170z=944 (5)
From ( 4) and (5), you have equations
-13x +47z=261 (4)
-47x+170z=944 (5)
(4)*(-47); (5)*13, you have
611x-2209z=-12,267 (4)
-611x+2210z=12,272 (5)
(4)+(5), you have
z=5
Replace z=5 in (4), you have
611x- 2209*5=-12,267
611x- 11,045 =-12,267
611x=-1222
x= -2
Replace x=-2, z=5 in (1) , you have
9*(-2) +2y -27*5=-155
-18+2y-135=-155
-18+2y=-20
2y=-2
y=-1
Result (x,y,z)=( -2, -1 ,5)
