15. 2x+4y=5
Since you want to put it into y-intercept format (y=mx+b) first you want to minus 2x on both sides making it 4y= -2x+5, following you will divide by 4 on both sides making it y= -1/2x+ 5/4(1.25). The slope being -1/2x and the y-intercept hitting 1.25 on the y-axis.
17. 3x-3y=5. Like question 15 you will have to put it into y=mx+b format. So first you would minus 3x on both sides becoming -3y = -3x+5 then do the following: divide by -3 on both sides making the answer Y= x-5/3(-1.66666667) you can round it up to -1.67. Overall the answer should be y=x-1.67. 1.67 being the y-int meaning the line meets the y-axis at 1.67 and the slope being 1/1 to help you form the line.
The area of the largest circular fire pit is 452 square inches.
Explanation:
Given that at a campground, a rectangular fire pit is 3 feet by 2 feet
The radius is given by 1 feet.
<u>Area:</u>
The area of the largest circular fire is given by
Substituting the values in the formula, we get,
Thus, the area of the largest circular fire is 3.14 square feet.
<u>To convert feet to inches:</u>
The feet can be converted into inches by multiplying by 12.
Thus, we have,
Hence, we have,
Simplifying,we get,
Rounding off to the nearest square inch.
Thus, we have,
Thus, the area of the largest circular fire pit is 452 square inches.
Answer:
Step-by-step explanation:
We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:
Note that this line has a slope of 1/4.
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.
We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:
Let (-2, 3) be (<em>x₁, y₁</em>) and substitute -4 for the slope <em>m</em>. Hence:
Convert into slope-intercept form. Simplify:
In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:
167<6+7(2-7r)167<6+14-49r
167-6-14<-48r
147<-49 r
r >-3
Answer:
P(9,7) = 181440
Step-by-step explanation:
The roles are distinct so order matters. So we must use the permutation formula.
P(n,r)=n!/(n−r)!
P(9,7) = 9! / 2! = 9*8*7*6*5*4*3 = 181440