Answer:
y =6x+17
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-7- -1)/(-4 - -3)
= (-7+1)/(-4+3)
-6/-1
6
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute a point into the equation
-1 = 6(-3) +b
-1 = -18+b
Add 18 to each side
17 =b
The equation is
y =6x+17
Answer: 45
Step-by-step explanation:
Answer:
1467
Step-by-step explanation:
i know this because taking a negative number and a positive is like adding and then you subtract 144 and you get 1467
Answer:
Step-by-step explanation:
√3(√6+√15)
3√2+3√5
2√3+3√5
3√7
3√2+9√5
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
