6. P = 2
Q = -5
7. C = -1
8. K = 3
9. A) y = 2x + 2
B) y = -3x + 5
C) y = 0x + -5
10. Y = 5x + -18
11. A)
i) (5, 0)
ii) (0, 5)
B) y = -1x + 0
To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).
C = 2 x pi x r
55 = 2 x 3.14 x r
<u>55 </u>= <u>6.28 x r</u>
6.28 6.28
r = 9.2 mm
The approximate radius is 9.2 mm.
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
Answer:
discount price = 0.75p
Step-by-step explanation:
100%-25% = 75% or 0.75
Volume of the cone = 1/3π r^2 h
So, we are given that r = 9 and h = 12
plugging in all the known values
1/3 * (3.14) * 9 * 9 * 12
= 1017.36 cm³
or
≈1017.4 cm³