5y= -6x+2
5y/5 =-6x/5 +2/5
y = -1.2x +0.4
the slope is -1.2 and y intercept is 0.4
Equilateral triangle with the side 4 cm and h=2.5 cm
In equilateral triangle all sides are equal
so all sides are equal in the base of the prism
lateral area of the prism = Perimeter of the base * height
Perimeter of the base equilateral triangle = side + side + side
lateral area of the prism =(side + side + side) * height
= (4+4+4) * 2.5
= 
lateral area of the prism = 
The bike shop made $28 dollars profit. First, you add the cost of the bike and the cost of the helmet, which is $84. Then you divide that by 150 to get what 1% would be, which is .56. Then you multiply that by 50%, which is the part of the price that the shop profited, which is $28.
Answer:
3/5
Step-by-step explanation:
Set it equal to 0
5x-3=0
Then solve for x
5x=3
x=3/5
Check
5(3/5) - 3
3-3
0
Answer:
The length of the first piece = 41 cm
Step-by-step explanation:
Let the length of the first piece = a
Let the length of the second piece = b
Let the length of the third piece = c
we are given the following:
b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)
c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)
a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)
Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:
a + b + c = 211
a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)
a + 3a + 6 + a = 211
5a + 6 = 211
5a = 211 - 6 = 205
5a = 205
∴ a = 205 ÷ 5 = 41 cm
a = 41 cm
Therefore the length of the first piece (a) = 41 cm
now finding b and c
substituting a into equation 1 and 2
b = 3a
b = 3 × 41 = 123
∴ b = 123 cm
c = 6 + a
c = 6 + 41 = 47
∴ c = 47 cm