Answer:
No slope
Step-by-step explanation:
There is no slope because it is a vertical line.
Answer:
311.6 cm
Step-by-step explanation:
To solve this problem, let's call:
k = Keith's height
n = nephew's height
Since the ratio is 15:7, we have
(1)
Then, Keith's height is increased by 16%, so the new height of Keith is
(2)
While the nephew's height is doubled:
(3)
We also know that Keith is now 34 cm taller than his nephew, so
(4)
Substituting (2) and (3) into (4), we get
And substituting (1),
Solving for n,
So the current height of the nephew is:
While Keith's current height is
So their total current height is
Answer:
x = ± 3
Step-by-step explanation:
Given
5x² - 45 = 0 ( divide through by 5 )
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± = ± 3
Thus the roots are x = - 3, x = 3
To solve this problem, we must remember that there are 12 months in a year. To find the number of months in 3 years, we must multiply the number of months in a year (12) by the number of years (3).
12 * 3 = 36
Now, if we lease the car at $605 per month, we must multiply this number by the number of months leased (36) in order to find the total cost of the lease. Since this is an estimate, we can round 36 to 35 and $605 to $600 in order to make our computations easier.
$605 * 36 ≈ $600 * 35 = $21,000
Therefore, a good estimate for the lease is $21,000. If we want to check our work, we can always compute how much the lease would actually cost by solving $605 * 36 = $21,780. Because these two numbers are relatively close, we can infer that our estimate is reasonable.
Hope this helps!