Answer:
The equation of a line parallel to the line and passing through (1, -1) is:
Step-by-step explanation:
Given the line
y = -3
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
Thus, the slope of the equation y=-3 will be m = -3
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line will also be -3.
Thus, using the point-slope form to find the line equation is
substituting the values m = -3 and the point (1, -1)
y-(-1) = -3(x-1)
y+1 = -3x+3
y=-3x+3-1
y=-3x+2
Thus, the equation of a line parallel to line and passing through (1, -1) is:
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
The answer is 120 instead of 12 because 12 equals 7.2
Answer:
<em>16.8 cubic centimeter</em>
Step-by-step explanation:
Dimensions of rectangular prism are:
To find:
The volume of rectangular prism in cubic cm ?
Solution:
The formula for volume of prism is given as:
Where 
is the length of rectangular prism
is the width of rectangular prism
is the height of rectangular prism
Here we are given the three dimensions of prism as:
Length, = 4 cm
Width, = 3 cm
Height, = 1.4 cm
Putting the values in formula for volume:
So, volume is <em>16.8 cubic centimeter</em>.
Answer:
Lose $0.05
Step-by-step explanation:
There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).
If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:
The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)
On each bet, the player is expected to lose 5 cents ($0.05).
