The answer is 48.
8/14=x/84
Cross mutiply, to get:
14x=672
Divide each side by 14
You get 48.
Hope this help!!! :)
Answer:
(3,1)
Step-by-step explanation:
y=-4x^2+24x-35
x-intercept of the vertex formula:
v=-b/2a
a=-4
b=24,
c=-35
v = - 24/2(-4)
v = -24/-8
v = 3
substitute x as v
y= -4(3)^2 + 24(3) - 35
y= -4(9) + 72 - 35
y = -36 +72 - 35
y = 36 - 35
y = 1
therefore the vertex is
(3,1)
5. m=3 because 6/2 is the slope. b= 1
6. m= -4 because -20/5 is the slope. b= 140
Answer:
Marta's rope is 94"
Step-by-step explanation:
D = dilberts rope length
M = marta's rope length
Marta's jump rope is 10" shorter than four times the length of Dilbert's rope
M = 4D-10
both their ropes laid together end to end and measured 120" long
M+D = 120
Substitute 4D-10 for M in the second equation
4D-10 + D = 120
Combine like terms
5D-10=120
Add 10 to each side
5D-10+10 =120+10
5D =130
Divide by 5
5D/5 = 130/5
D =26
Now we need to find M
M+D = 120
M +26 = 120
Subtract 26 from each side
M = 120-26
M = 94
Answer:
therefore the solution of the system of equations is (x,y) = (4,2)
the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
Step-by-step explanation:
i) x + 2 = 6 
x = 4
ii) x - y = 2 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2
iii) therefore the solution of the system of equations is (x,y) = (4,2)
iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
