Set them up like this example:
4 8
_ = _
6 12
cross multiply by multiplying 4 by 12 and 6 by 8.
If they are equal then it is proportional.
Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
Answer:
27,29,38,39,42,52,53
Step-by-step explanation:
Answer:
Option 4) 
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
Let
z------> the scale factor
x-----> the area of the dilated rectangle
y----> the area of the original rectangle
so
we have
substitute and solve for x
B. None of these plants is yet producing actual widgets
Explanation: since number of days is on the x axis, 10 days corresponds to 10 on the x axis. At 10, none of the lines are above 0 on the y axis yet. Since the y axis represents number of widgets, this means none of the plants have produced more than 0 widgets yet.
