Answer:
15 cm
Step-by-step explanation:
The length of the shorter pole can be found by forming and subsequently solving 2 equations.
Start by defining the variables that are going to be used in the working.
Let the original length of the shorter pole be a cm and that of the longer pole be b cm.
'Product' refers to the multiplication operation.
ab= 285 -----(1)
On the other hand, 'sum' refers to the addition operation.
Length of shorter pole after cutting= a -2
Length of longer pole after cutting= b -2
(a -2) +(b-2)= 30
a +b -4= 30
Adding 4 to both sides:
a +b= 30 +4
a +b= 34 -----(2)
From (2):
a= 34 -b -----(3)
Let's solve by substitution:
Substitute (3) into (1):
b(34 -b)= 285
Expand:
34b -b²= 285
b² -34b +285= 0
Factorise:
(b -15)(b -19)= 0
b -15= 0 or b -19= 0
b= 15 or b= 19
Substitute into (1):
a(15)= 285 or a(19)= 285
a= 285 ÷15 or a= 285 ÷19
a= 19 or a= 15
Since a <b, a= 15 and b= 19.
Thus, the length of the shorter pole is 15 cm.
Answer:
0
Step-by-step explanation:
X-intercept is the value of x when y = 0.
8x - 1/3y = 16
8x - 1/3(0) = 16
8x = 16
x = 16/8 = 2.
x-intercept = (2, 0)
We know that
if the volume of a prism <span>it was increased by a scale factor of 5
then
</span>the original volume is
multiplied by 5*5*5-------> 5³=125
therefore
the new volume compared with the original is 125 times larger
Answer:
AFM = 140
LFM = 70
Step-by-step explanation:
Here, we are to calculate LFM and AFM
Since AFM was bisected, then LFM + AFL is AFM
and also AFL = LFM
Thus;
11x + 4 = 12x -2
12x-11x = 4 + 2
x = 6
AFM = AFL + LFM = 11x + 4 + 12x-2 = 23x + 2
Substitute x = 6
AFM = 23(6) + 2 = 140
LFM = 11x + 4 = 11(6) + 4 = 66 + 4 = 70
