Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
Answer:
6% monthly
Step-by-step explanation:
The monthly rate being compounded when the interest is 6% per year is ...
6%/12 = 0.5%
so the multiplier each month is
1 + 0.5% = 1.005
___
The monthly multiplier when 5.86% is compounded continuously is ...
e^(5.86%/12) ≈ 1.004895
The 6% rate will give a larger yield after any length of time.
-2° was the initial temperature as it dropped to -5°
-2-5=-7
Hope this helped
Answer:
2 miles
Step-by-step explanation:
1/2 of 4 is 2
Mathematically
1/2 × 4/1
4/2
2
First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
