Let
x-------------> <span>the length of a rectangle
y-------------> the </span>width of a rectangle
we know that
x+y=130-----------> equation 1
and
x=1.6y--------------> equation 2
<span>I substitute 2 in 1
(1.6y)+y=130-------------> 2.6y=130------------> y=130/2.6------> y=50 ft
x=1.6y--------> x=1.6*50---------> x=80 ft
the answer is
</span>the length is 80 ft
the width is 50ft
Answer: Thirty five thousandths as decimal numerals is 0.035
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.
Answer:
6. c = 5
7. b = 8
8. a = 0.75
9. b = 12
10. c = 0.5
11. c = 17
12. b = 1.34
13. a = 4.5
14. a = 1.2
15. c = 6.1
16. b = 15
17. c = 41
18. a = 7
19. c = 8.5
20. b = 4
Step-by-step explanation:
You need to use Pythagorean theorem. Put the number for a in a, b in b, and c in c. DON'T forget to square a, b, and c.
