The point-slope form of a line is:
y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line
First we need to find the slope, which is (y2-y1)/(x2-x1)
m=(4--1)/(8-2)
m=5/6 and we can use either point, I'll use (8,4)
y-4=(5/6)(x-8)
That is your equation in point-slope form.
Now the standard equation of a line is ax+by=c
y-4=(5/6)(x-8) we can perform the indicated multiplication on the right side
y-4=(5x-40)/6 multiply both sides by 6
6y-24=5x-40 add 24 to both sides
6y=5x-16 subtract 5x from both sides
-5x+6y=-16 and by convention, the standard equation of a line should be expressed with a positive coefficient for x, so multiply both sides by -1
5x-6y=16
Answer:
x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.
Step-by-step explanation:
Sorry if this is not what you are looking for.
Answer:
Supplier A: 5.25 per bushel and deliver fee of 3 per bushel
Supplier B: 6.50 per busher and flat delivery fee of $1500 each week
500 bushels of grain each week.
Supplier A: 5.25x + 3x = 5.25(500) + 3(500) = 2,625 + 1,500 = 4,125
Supplier B: 6.50x + 1500 = 6.50(500) + 1500 = 3,250 + 1,500 = 4,750
Supplier B would cost more if the company buys 500 bushels of grain per week.
Step-by-step explanation:
8/1 + (x-1)/(x+4)
You need the same common denominator (bottom number) to be able to add together so multiply 8 by (x+4) to both bottom and top
8 (x+4)/(x+4) + (x-1)/(x+4)
Add
8 (x+4)+(x-1)/ (x+4)
Distribute the 8 to (x+4)
8x+32+x-1 / x+4
Simplify
9x+31/x+4
:)
Answer:
Step-by-step explanation:
<u>Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:</u>
<u>Substitute the values and solve for x:</u>
- 4x - 12 = 3x + 6
- 4x - 3x = 6 + 12
- x = 18
<u>Find the value of ∠ADC:</u>
- m∠ADC = 2(4*18 - 12) = 120°
