For a hyperbola
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
So here is what we have
12 is what we need
out of the 84 we have
so...
12/84= .1428571429
and lets check our work
.1428571429 X 84 = 12
now lets convert it to a percent
.1428571429 X 100 = 14.28571429%
so the answer is
14.28571429%
Answer:
The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b.
Step-by-step explanation:
Answer:
B. 548926
Step-by-step explanation:
Given
SYSTEM => '131625', and KARMA => '94854'
Required
MARKET is coded as?
To solve this, we simply map out each letter to the given characters;
This is done as follows:
S-> 1
Y-> 3
S-> 1
T-> 6
E -> 2
M-> 5
K-> 9
A-> 4
R-> 8
M-> 5
A -> 4
Remove repetitions
S-> 1
Y-> 3
T-> 6
E -> 2
M-> 5
K-> 9
R-> 8
A -> 4
Now, we can code MARKET using the same system
M-> 5
A -> 4
R-> 8
K-> 9
E -> 2
T-> 6
MARKET => 548926
Answer:
Step-by-step explanation:
x= money earned per hour working as a cashier.
y=money earned per hour working delivering newspapers.
We propose the following system of equations:
5x + 4y =77
6x + 3y=78
We solve the system by reduction method:
-6*(5x+4y=77) ⇒ -30x-24y=-462
5*(6x+3y=78)⇒ 30x+15y=390
---------------------------
-9y=-72 ⇒ y=-72 /-9=8
Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.
5x + 4(8)=77
5x+32=77
5x=77-32
5x=45
x=45/5=9
therefore;
money earned per hour working as a cashier= $9/ hour
money earned per hour working delivering newspapers=$8/hour
