Perpendicular line has slope that multiplies to -1
paralel line has same slope
y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2
paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25
perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
Learn more about Equation here:
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Answer:
The answer is D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
B+c/d=a subtract b from both sides
c/d=a-b multiply both sides by d
c=d(a-b) or if you prefer
c=ad-bd
Note: if you meant a=(b+c)/d, multiply both sides by d
b+c=ad subtract b from both sides
c=ad-b
Answer:
B. The system of equations has no solution.
Step-by-step explanation:
Parallel lines never touch, in order for a system of equation to have a solution the two equations have to intersect, because parallel lines never intersect the system of equations that Presley graphed would have no solution
