Answer:
Each book costs $27.
Step-by-step explanation:
Subtract 254 - 11.
254 - 11 = 243
Now, divide 243 by 9.
243 ÷ 9 = 27
Hope this helped!
Answer:
x=32
Step-by-step explanation:
5x+20=180 can be used to solve this problem because those two angles are supplementary
In this case, the pattern is the number, in this case, 3, multiplied by the number below it.
See?
Hope this helped :)
Answer:
11. a)50 12. a)40
Step-by-step explanation:
sum of all three angles of trinagle=180
so
111.
80+50+x=180
130+x=180
x=180-130
x=50
12.
60+90+x=180
150+x=180
x=190-150
x=40
Answer:
x2=−8(y−2)
Step-by-step explanation:
Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.
Let P(x,y) be the moving point on the parabola with
focus at S(h,k)= S(0,0)
& directrix at y= 4
Now,
|PS| = √(x-h)2 + (y-k)2
|PS| = √(x-0)2 + (y-0)2
|PS| = √ x2 + y2
Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0
- d= |ax +by + c|/ √a2 + b2
- d= |y-4|/ √0 + 1
- d= |y-4| units.
equation of parabola is:
- |PS| = d
- √ x2 + y2 = |y-4|
Squaring on both sides, we get:
- x2 + y2 = (y-4)2
- x2 + y2 = y2 -8y + 16
- x2 = - 8y + 16
- x2 = -8 ( y - 2)
This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.