Answer: -2.5
Step-by-step explanation:
Given that the slope of the first line is 
and the slope of the second line is 
,if the two lines are perpendicular then = -1 ,
The line given is 2x + y + 5 =0 , to find the slope of the line , we will need to make y the subject of the formula
2x + y +5 = 0
y = -2x -5
comparing the solution to the equation of line in slope - intercept form , which is given as y = mx + c , where m is the slope and c is the y-intercept. This means that the slope of the given line is -2.
Therefore , the slope of the line perpendicular to this line is given as 
. The point given is (-1 , -3 ). Thus , to find the equation of the new line , we will use the formula for finding equation of line in slope-point form , which is given as :
y - 
= m ( x - 
)
m =
= -1
= -3
substituting into the formula , we have
y - ( -3 ) = ( x - {-1} )
y + 3 = (x + 1)
y + 3 = x +
making y the subject of the formula in order to write the equation in slope - intercept form , we have
y = x + - 3
y = x - 
Therefore , the y - intercept is - 2.5
9514 1404 393
Answer:
$36,259.78
Step-by-step explanation:
The formula for compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years compounded n times per year.
Here, you have P = 17000, r = 0.06, n = 1, t = 13.
A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78
The accumulated value after 13 years is $36,259.78.
Answer:
A = 2500 + 2500 · 0.06 · 4 = 3100
Step-by-step explanation:
Hello there!
How do you find the y-intercept?
Answer: To find the y-intercept, substitute in 0 for x and solve for y
y = x² + 3x + 5
y = (0)² + 3(0) + 5
y = 0 + 0 + 5
y = 5
Thus, the correct answer is option D (0,5)
I really hope this answer is clear enough for you to understand. If you have questions about the answer, please let me know.
As always, I'm glad to be your helper this evening~!
Answer: 30
Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.
