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:
9487593201-30498576
Step-by-step explanation:
Answer:
.45/5 converted to a decimal is 0.09
Step-by-step explanation:
I'm not sure what you mean by "with a line over 5" so I just thought u meant with 5 as the denominator
For each vertex just take the x and y coordinate and apply the translation. so for the point (-3,-2) make them (-3+2, -2+3)=(-1,1) and do the same for the other two points (0,2) and (-7,3)
Answer:
n=4
JK=12
KL=13
Step-by-step explanation:
Since JL=25 and JL=3n+5n-7
Then
3n+5n-7=25 simplifying we get
8n-7=25 subtracting 7 from both sides
8n=32 dividing both sides by 8
n=4
JK?
JK=3n bt n=4
JK=3*4
JK=12
KL?
KL=5n-7
KL=5*4-7
KL=13