Answer:
y = -x/4 + 7/2
Step-by-step explanation:
Find the slope
( -2 , 4) ( 6 , 2)
m = (y2 - y1)/(x2 - x1)
x1 = -2
y1 = 4
x2 = 6
y2 = 2
m = ( 2 - 4)/( 6 -(-2)
m = ( 2 -4)/(6 +2)
= -2/8
= -1/4
Using point slope form equation
y - y1 = m( x - x1)
Using the second point
( 6 , 2)
x1= 6
y1=2
m = -1/4
y - 2 = -1/4(x - 6)
y - 2 = -(x - 6)/4
Open the bracket with -
y - 2 = (-x + 6)/4
y = ( -x + 6)/4 + 2
LCM = 4
y =( -x + 6 + 8)/4
y = (-x + 14)/4
Rearrange using slope intercept form
y = mx + c.
y = -x/4 + 14/4
We can break 14/4 by dividing by 2
y = -x/4 + 7/2
Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
When you solve the inequality, you will write down all the x values that satisfy the inequality but they have to be integers. The n is x, it is just a common variable used to help describe what kind of numbers they want.
1 litre = 1000 ml
4.6 litre = 4600 ml
4600 / people = how much she should pour into each glass
Answer:
Height of the oblique prism is 18 units.
Step-by-step explanation:
Volume of an oblique prism = 
Area of the base of this prism = 24 square units
And volume of the prism = 144 cubic units
By substituting these values in the formula,
144 = 
h = 
h = 
h = 18 units
Therefore, height of the oblique prism is 18 units.
