Answer:
Step-by-step explanation:
Using the equation of line
y - y_1 = m(x - x_1)
y = mx + C
First first the slope of the equation
y = 9x - 4
Note: if two lines are perpendicular, their slope will be negative reciprocal
Slope = 9, but because it is perpendicular
m = -1/9
Using the equation
y - y_1 = m(x - x_1)
With the point (-9,-17)
x_1 = -9
y_1 = -17
y - (-17) = -1/9(x - (-9)
y + 17 = -1/9(x + 9)
y = -1/9(x + 9) - 17
Open the bracket.
y = (-x -9)/9 - 17
Lcm is 9
y = -x -9 - 153 / 9
y = -x - 162 / 9
Let's separate
y = -x/9 - 162/9
y = -x/9 - 18
y = -1/9x - 18
Therefore, the equation of the line is y = -1/9x - 18
Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
Answer:
If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years.
Step-by-step explanation:
hope this helps
To solve this problem, you have to divide the price by the number of gallons.
So 56.25/15 = 3.75
Therefore Genevieve payed $3.75 per gallon
Answer:
Maggie will run 5.85 miles next week.
Step-by-step explanation:
Given:
Maggie is training to run a 6 mile race.
This week Maggie ran = 4.5 miles
Also Given:
Next week she will run 1.3 times as far as she did this week.
We need to distance she will run next week.
Now we know Next week she will run 1.3 times as far as she did this week.
It means Distance to be run next week will be equal to 1.3 times distance she ran this week.
Framing in equation form we get;
distance she will run next week = 
Hence Maggie will run 5.85 miles next week.
