Think about rise over run. Make the -4 a fraction into -4/1. Rise is the first, so you go down 4 pts down. Then run is 1, so you go 1 right. In this case, there is no beginning, so you begin at 0. The coordinates will be (0, 0) and (1, -4). You got the graph.
The radius is 12 so the diameter is 24.
The total is $21 + $6 or $27.
There are 3 students.
Let p = how much each student will pay
p = $27 ÷ 3 students
p = $9
Each student will pay $9.
Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Answer:
A
Step-by-step explanation:
x² - 3x - 54 = 0
x² - 9x + 6x - 54 = 0
x(x - 9) + 6(x - 9) = 0
(x - 9)(x + 6) = 0
x = -6,9
