Answer: Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
Answer:
The 1 liter bottle is better value
Step-by-step explanation:
Cost of 750 ml = £1.90
Cost of 1 liter = £2.50
1000 ml = 1 liter
Cost per 250 ml
750 ml / 3 = £1.90 / 3
250 ml = £0.6333333333333
Approximately,
£ 0.633
Cost per 250 ml
1 liter / 4 = £2.50 / 4
250 ml = £0.625
The 750 ml bottle is not a better value
The 1 liter bottle is better value
Answer:
Perimeter = 101.2 cm
Step-by-step explanation:
The given figure has a length of 18 cm and width of 24 cm. A rectangle of length 8.6cm has been cut out, however, the question is asking to find the perimeter, or distance around the figure. The overall rectangle still has a perimeter of 18 + 18 + 24 + 24 = 84. However, now it also has two additional sides of 8.6cm each, so 8.6 + 8.6 = 17.2.
Add all the sides together for perimeter:
84 + 17.2 = 101.2 cm
Answer:
x = 15
y = 5
Step-by-step explanation:
x = 15
y = 5
2x+3=3x-4
try to isolate the x term
you must do the same thing to both sides or else it won't be equal anymore
2x+3=3x-4
add 4 to both sides
2x+3+4=3x+4-4
2x+7=3x+0
subtract 2x from both sides
2x-2x+7=3x-2x
0+7=x
7=x
the answer is x=7
