Answer:
y = -x - 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + y = 1.
First, let's put this into standard form.
x + y = 1
y = -x + 1
Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.
Plug this value (-1) into your standard point-slope equation of y = mx + b.
y = -x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.
0 = -1(-7) + b
To find b, multiply the slope and the input of x (-7)
0 = 7 + b
Now, subtract 7 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -x - 7
This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)
Hope this helps!
Igor's taxable income is the difference between the amount
he earns annually and the amount he earns as exemptions.
Response:
- The amount he pays in annual state income tax is;<u> $1,497</u>
<h3>Which methods are used to calculate income tax?</h3>
Given;
Annual earnings = $57,900
State tax rate = 3%
Amount earned in exemption = $8,000
Required:
The amount Igor pays in annual state income tax.
Solution;
Taxable Income = Annual Income - Exemptions
Therefore;
Igor's taxable income = $57,900 - $8,000 = $49,900
Taxable Income × Tax rate = Amount paid as tax
- The amount he pays is therefore; $49,900 × 3% = <u>$1,497</u>
Learn more about income tax here:
brainly.com/question/25278778
I would say B. The second picture, it's slightly less than a 90 degree angle, so it looks like it should be that.
Hope this helps!! :)
Answer:
The instantaneous velocity at 
is 
.
Step-by-step explanation:
We have the position as the function
As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of
∴ 
The instantaneous velocity at
Therefore, the instantaneous velocity at is .
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
Use the Pythagorean Theorem:
a^2 + b^2= c^2
a= one side= 68 mi
b= second side= 80 mi
c= hypotenuse= Greenville to Columbia mi
a^2 + b^2= c^2
68^2 + 80^2= c^2
square each number
4,624 + 6,400= c^2
11,024= c^2
take square root of both sides
104.995 mi= c
ANSWER: The distance from Greenville to Columbia is 104.995 miles (rounded to 105 miles).
Hope this helps! :)
