Answer:
The correct option is `(y −4) = -(4)/(3) (x +3) ..
Step-by-step explanation:
Look at the attached picture:
The points we have given are (-3, 4) and (3, -4)
Find the slope by applying the formula:
m = y2-y1/x2-x1
Here x1= -3
x2= 3
y1 = 4
y2 = -4
Now put the values in the formula:
m = -4 -4 /3 -(-3)
m = -8/3+3
m = -8/6
Now cancel the term by table of 2
m = -4/3
When two points are given, the equation of the line is
(y - y1) = m (x - x1)
y - 4 = -4/3 (x - (-3))
y-4 = -4/3 (x+3)
Thus the correct option is `(y −4) = -(4)/(3) (x +3) ....
Answer:
78 mg
Step-by-step explanation:
370 mg - 110 mg = 260 mg (amount decayed in the 8 total years)
260 mg ÷ 8 years = 32.5 mg decayed per year
32.5 × 9 years (years between 2008 and 2017) = 292.5 mg
370 mg - 292.5 mg = 77.5 mg, rounded to 78 mg
Your answer is c, hope this helps, ask me any questions if needed+
Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
