A. y-intercept
B. The slope is 3/4, the y-intercept is 0
C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.
Then, divide everything by 6, and the equation would look like: y = 2/6x + 2
Thus, the slope is 2/6x and 2 is the y-intercept.
Both those are drawn to scale.
5. Isosceles right triangle, sides in ratio 1:1:√2 = x:x:24 so x/24=1/√2,
x = 24/√2 = 24(√2/2) = 12√2
Answer: D. 12√2
6. 1:1:√2 = 10 : AB : BC
BC = 10√2
Answer: A. 10√2 ft
Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum = 
= 
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2
r
where r is the radius.
So that;
circumference of the drum = 2 x 
x 4
= 
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
2 = <u>14</u> now add the extra 4/7 and you will get 18/7.
7
<u>
</u>2 <u>4
</u> 7 using the algorithm (a shortcut way) 2x7=14+4=18 and put that 18 over the denominator 7. Done!<u>
</u>
so this is very simple.
if f(x)=12x +50, and we want to know how much the cost goes up per square yard, we look at the relationship.
if the coefficient of x is 12, the cost will go up $12 per square yard.
it is NOT 62 because the 50 is a one time thing that is only added one time. think about it like having the price be $50 at 0 yards. it's almost like a flat fee. for 1 yard its 62, 2 its 74, etc. it goes up 12 each time. additionally, it's not x because x is the amount of yards, not the cost of a yard. it is not 50 because 50 is added, and is not in relationship to x.
so, the answer is b.
hope I helped.
