Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -2, y intercept: 0
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
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13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
-2.8 • -2.8 • -2.8 • -2.8 • -2.8 • -2.8
=481.890
Answer:
a = 8 (to nearest whole number)
Step-by-step explanation:
Given:
m<B = 36°
m<C = 104°
c = 12
Required:
a
SOLUTION:
✔️First find m<A:
m<A = 180 - (104 + 36)
m<A = 40°
✔️Find a using Sine Rule:
Thus:
Plug in the values
Multiply both sides by sin(40)
(nearest whole number)