Answer:
Step 1: Distribute 
to 
and 
Step 2: Subtract from both sides of the equation 
Step 3: Add to both sides of the equation 
Step 4: Divide both sides of the equation by 
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute to and
Then:
Step 2: You must apply the Subtraction property of Equality and subtract from both sides of the equation. Then:
Step 3: You must apply the Addition property of Equality and add to both sides of the equation. Then:
Step 4: You must apply the Division property of Equality and divide both sides by . Then:
Step-by-step explanation:
Circumference of wheel = πd = 0.75πm.
How far the car travels per minute
= 60s * (14m/s) = 840m.
Hence number of revolutions per minute
= 840m / 0.75πm
= 356.507....
= 357. (nearest whole number)
It should have 110 because she can only afford 66 and so 176 - 66 = 110 so it should be 110
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
