Answer: y = -2x - 7
Step-by-step explanation:
The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.
Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).
x - 2y = 6
- 2y = 6 - x
y = (1/2) x -3
The slope is (1/2), so a perpendicular line will have a slope of -2.
y = -2x + b
We can find b by using the given point ((-3,-1), a known solution):
-1 = -2*(-3) + b
-1 = 6 + b
b = -7
The perpendicular equation is y = -2x - 7
y = -2x
Answer:
Step-by-step explanation:
Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%
Thus the equation for population for country A would be
The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.
So equation for population for country B would be
where t = time in years and P in millions
a) P(A) = 2*87 when
Take log and solve
ln 2 = 0.005 t
t = 138.63
Thus after 138 years population will double for A
b) P(A) = P(B) when
Approximately after 35.5 years the populations of both countries would be equal.
1 2/3 because 3 * 5/3 = 5 and 1 2/3 = 5/3
37 and 29 won't work because these numbers are prime numbers, which can't be divided equally. This problem is basically saying which one of these are prime numbers.
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:
If point D(x, y) is 7/16 M to J, then:
x = (7/16)(4 - 20) + 20 = 13
y = (7/16)(17 - 1) + 1 = 8
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
Find out more on equation at: brainly.com/question/2972832
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