Answer:
Step-by-step explanation:
we know that
The probability that a point chosen randomly inside the rectangle is in the triangle is equal to divide the area of the triangle by the area of rectangle
Let
x-----> the area of triangle
y----> the area of rectangle
P -----> the probability
<em>Find the area of triangle (x)</em>
<em>Find the area of rectangle (y)</em>
<em>Find the probability P</em>
Answer:
Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = 
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = 
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by
= × 
=
← cancel 37 on numerator/ denominator
=
<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
</span>
A. 6x-y=1 can go to 6x-y-1=0 and then 6x-1 = y
