Expplanation and Answer:
y=mx−7
Swap sides so that all variable terms are on the left hand side.
mx−7=y
Add 7 to both sides.
mx=y+7
Divide both sides by m.
m
mx
=
m
y+7
Dividing by m undoes the multiplication by m.
x=
m
y+7
Answer:
2x + 3y + 5z = 9
Step-by-step explanation:
The normal defines all the planes perpendicular to that vector. To isolate to a single plane, just apply the known point.
ax + by + cz = d
2x + 3y + 5z = d
2(1) + 3(-1) + 5(2) = 9
Answer:
x= -7/4
Step-by-step explanation:
8x= -14
Divide both sides by 8
8x/8 = -14/8
Simplify
x= -7/4
Answer:

Step-by-step explanation:
The probability of matching the number drawn on the gold ball is

The number of possible pairs of numbers from 1 to 53 is

Choosing 5 numbers, you are choosing 10 different pairs:

Therefore the probability of correctly matching the drawn pair is

Thus, the probability of winning (matching the pair AND the gold ball) is
