The best thing to do when finding conic equations from the focus and directrix is to sketch a little graph. When you do this, you can easily identify the vertex right in the middle and can determine if the parabola is vertical or horizontal since it must wrap around the focus. This way you know whether the x or the y is squared. When you sketch the focus and directrix, you will see the vertex is at (0,0) and the parabola is sideways, so the y is squared. now remember your formula is y^2=4px where p is the distance from the vertex to the focus, or you could write x=1/(4p)y^2. Now from 0 to -8 is -8 so that means 4p=-32. This gives you y^2=-32x or x=-1/32y^2. Thsi type of question will also be on your module exam and then the final exam so be sure to practice some:)
Answer:
See below
Step-by-step explanation:
Julie wants to cut her hair 9 inches off from 16 inches
<h3>Part A </h3>
Expression
<h3>Part B</h3>
Calculation
<h3>Part C</h3>
Explanation of steps
- 1 - note the point 16 on the number line
- 2 - move left by 9 points on the number line
- 3 - note point 7 as answer
Answer:
y = 2x+4
Step-by-step explanation:
First we need to find the slope using two points
(-2,0) and (0,4)
m = (y2-y1)/(x2-x1)
m = (4-0)/(0--2)
= 4/+2
= 2
we have the y intercept which is 4
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 2x+4
Answer:
3 avacados for $1.99
Step-by-step explanation:
1.99/3=.66333333 or .66
3.50/5=.7 or .70
since 66 cents is cheaper than 70 cents its a better deal to get the three avacados rather than the 5
To write a fraction as a decimal, you need to divide the numerator by the denominator. 1/6 would become 1 divided by 6. 1 / 6 = 0.16 (repeating bar over the 6). However, there are different ways to put a fraction in decimal form. 2 3/4 can become a decimal if the denominator is 100 (or any form of 10). 3/4 x 25/25 is 75/100. The decimal would be 2.75. 98 2/3 becomes 98.66 (since 1/3 is 0.3 (repeating bar over the 3). Now, 26 isn't a fraction or decimal... we are figuring out area. The formula for the area of a square is a = length times width. We can use the square root of 125 to solve this... which would be 11.18. Yet, we are rounding to the nearest mile which would be 11 miles.
