24000 + 3000x = 30000 + 2400x
3000x - 2400x = 30,000 - 24,000
600x = 6000
x = 6000/600
x = 10 years
A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
The perpendicular bisector theorem gives the statements that ensures
that 
and 
are perpendicular.
The two statements if true that guarantee is perpendicular to line are;
Reasons:
The given diagram is the construction of the line 
perpendicular to line 
.
Required:
The two statements that guarantee that is perpendicular to line .
Solution:
From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line , therefore;
arcs drawn from the same radius.
is perpendicular to line , given.
Therefore;
by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
brainly.com/question/11357763
Answer: r= 25/3
Step-by-step explanation:
r-4(r+6)=-49 distribute the 4
r-4r-24=-49 combine like terms
-3r-24=-49 add 24 to both sides
-3r=-25 divide by -3
r= 25/3 answer
9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
__
To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
