Check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
Answer:
20%
Explanation:
What we know:
- there are 25 cans in total
- 5 of them are root beer cans
Using this information, we can say that 5/25 cans are root beer cans. To find the percent, we change the fraction into a decimal and then multiply it by 100.
To change 5/25 into a decimal, we divide the numerator and denominator.
5/25=0.2
And we multiply the decimal by 100 to get the percent:
0.2*100=20
Therefore, 20% of Cam’s cans are root beer cans.
I hope this helps!
30 divided by 5 is 6, so the other term is (x+6). (x+5)(x+6) becomes x^2+11x+30, so k is equal to 11.
Answer:
$157.17
Step-by-step explanation:
Interest is the amount of return that someone receive on the amount invested in a bank or in a business. The annual interest rate is defined on the invested amount. The amount invested is called the principal and.
By applying the interest rate on the principal amount, we can calculate the annual interest earning.
Principal = $3,100
Rate of simple interest = 3.38% per year
Now, define the total time period.
Time period = 18 months = 18 / 12 = 1.5 years
Now calculate the Total interest earning.
Interest Earned = $3,100 x 3.38% x 1.5 = $157.17
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis

We have the following points:

Substituting we have:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is of the form:

Answer:
