In order for two linear lines to be perpendicular, the product of their gradient must be -1.
Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.
Answer:
y=1/2x+1
Step-by-step explanation:
First use slope formula.

Plug in the information needed.

The slope is
.
Now, use point-slope formula.
y-y1=m(x-x1)
Plug in the information needed.
y-3=1/2(x-4)
y-3=1/2x-2
y=1/2x+1
The equation of the line in slope-intercept form is y=1/2x+1.
Hope this helps!
If not, I am sorry.
<u>Answer</u>
8√2
<u>Explanation</u>
Simply: 4√2 + 7√2 - 3√2
Let √2 = x
4√2 + 7√2 - 3√2 = 4x + 7x - 3x
= 11x - 3x
= 8x
Substituting x with √2
4√2 + 7√2 - 3√2 = 8√2
Answer:
Domain: 
Range:
Step-by-step explanation:
If you find the coordinate of the graph you can get the domain and range
(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)
Now that we have that find the domain and range
Domain - x coordinate
Range - y coordinate
Domain: (-3, -2, -1, 0, 1)
Range: (-4, -2, 0)
Since the domain ranges from -3 to 1 you can use the inequality
to represent the domain and
for the range
Answer:
Approximately 62 gallons of water will be used by Lee County by the year 2025.
Step-by-step explanation:
The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.
In the year 2019, Lee County used approximately 55 million gallons of water.
This means that 
Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.
This means that 
So



Approximately how many million gallons of water will be used by Lee County by the year 2025?
2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).



Rounded to the nearest millions
Approximately 62 gallons of water will be used by Lee County by the year 2025.