y - y₁ = m(x - x₁)
y - (-2) = ¹/₂(x - 4)
y + 2 = ¹/₂(x) - ¹/₂(4)
y + 2 = ¹/₂x - 2
- 2 - 2
y = ¹/₂x - 4
Answer:
x < -7
Step-by-step explanation:
-4x > 28
-x > 7
x < -7
Answer:
64 mm³
Step-by-step explanation:
I am assuming there was a photo to go with this problem
However the general formula to find volume is usually V = l×w×h
- It does not matter which measurement is which because they all get multiplied together.
- However assigning a name to each unit of measurement we will denoted the length (l) as 2 mm, the width (w) as 8 mm, and the height (h) as 4 mm
- Plugging these values into the formula we get: V = (2)(8)(4) = 64 mm³
Answer: Required system
x+y= 30
0.25x+0.05y=5.10
Jude has 18 quarters and 12 nickels.
Step-by-step explanation:
Let x= Number of quarters
y= Number of nickels
As per given,
x+y= 30 (i)
0.25x+0.05y=5.10 (ii) [1 quarter = $0.25 , 1 nickel = $0.05]
Multiply 0.25 on both sides of equation (i)
0.25x+0.25y= 7.5 (iii)
Eliminate (ii) from (iii) , we get
0.20y=2.4
⇒ y = 12 [divide both sides by 0.20]
Put value of y in (i\), we get
x+12=30
⇒ x= 30-12= 18
Hence, Jude has 18 quarters and 12 nickels.
