Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
Answer:
Volume = 183.26 cubic inches
Step-by-step explanation:
Volume of cone = ⅓πr²h
Where,
r = 5 in.
h = 7 in.
Plug in the values into the formula
Volume = ⅓*π*5²*7
Volume = 183.26 cubic inches (nearest hundredth)
Answer:
1. -6t - 18
2. 21n - 14
3. -28 + 7t
4. 5m - 30
5. -48 + 8c
6. -15y -24
Step-by-step explanation:
Hope this helps!!!
Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
=
%
Answer:
6x - 24
Step-by-step explanation:
6(x-4) .....
Multiply the parentheses by 6:
6x - 6 x 4
Multiply the numbers:
6x - 24