Answer:
D) y = -2
The equation of the perpendicular line to the given line is y = -2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given point (-3,-2)
In graph the equation of line x = 8 ( parallel to y- axis )
1 x + o y - 8 =0
The equation of the perpendicular line to the given line
b x - a y + k =0
o x - 1 y + k =0 ...(i)
The equation (i) is Paases through the point ( -3,-2)
0 ( -3) -1(-2) + k =0
2 + k =0
k = -2
∴<em>The equation of the perpendicular line to the given line is </em>
<em> put k = -2 in equation (i) </em>
o x - 1 y + k =0
- y +(-2) =0
- y = 2
y = -2
<u><em>Final answer:-</em></u>
∴The equation of the perpendicular line to the given line is y =-2
Answer:
<h2>The year is 2010.</h2>
Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is 
.
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t = 
≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
Answer: Total cost = Cost of each bottle × Number of bottles
Step-by-step explanation: If each bottle of water Marissa bought cost 0.95cents. This means four bottles will cost = 0.95 + 0.95 + 0.95 + 0.95 = 3.80 cents
This can be written simply as 0.95 × 4 = 3.80 cents
Therefore, a general equation for calculating the total cost of bottle water will be;
Total cost = Cost of each bottle × Number of bottles.
Answer:
x = 1/3
Step-by-step explanation:
Perform the indicated multiplication:
Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:
3(3x - 1) = 24x - 8, or
9x - 3 = 24x - 8
Combining like terms, we get 5 = 15x, so that x = 1/3.
