Answer:
A = 30
Step-by-step explanation:
The area of a triangle is 
Plug in the values given:
A = 1/2 (10) (6) = 1/2 (60) = 30
Answer:
Find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x−4y=2. Find also the length of the latus-rectum.
Step-by-step explanation:
Answer:
3y= -2x-6
Step-by-step explanation:
The two points on the line are (-3,0) and (0,-2)
so you first get the gradient;
gradient= <u>change in y</u>
change in x
= <u>-2-0</u>
0-(-3)
=<u> -2</u>
3
so the answer above is the gradient
then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)
since you have the gradient you can easily get the equation by doing this
<u>y-0</u><u>. </u><u> </u> = <u>-2</u>
x-(-3). 3
then crossmultiply to get the equation of the line
3y= -2(x+3)
3y= -2x-6
First, convert your mixed numbers into improper fractions, so 8+3/8=69/8 and 2+1/3=7/3. Now you have 69/8=r-(7/3). Now, add 7/3 to both sides, so (69/8)+(7/3)=r. Now, just add your fractions, so (69/8)+(7/3)=207/24+56/24=(207+56)/24=263/24. If you need to, this can be converted back into the mixed number 10+23/24.
Answer:
A
Step-by-step explanation:
If the number of people in the theater must be under 240, then there must be less than 10 seats in each row on the floor to meet fire safety regulations.
if X=10 then, 15 times 10 plus 90 = 240.
Since the number of people must be under 240, there must be less than 10 seats in each row on the floor.
