I hope this helps you
1 1/2=2.1+1/2=3/2
If lines through XY and YW form a 90° angle, so that Y is a right angle,
then the product of the slopes of the lines through XY and YW must be -1
let the slopes through X,Y and Y,W be
and
respectively
so
Right answer:
Answer:
(x - 9)(x + 9)
Step-by-step explanation:
x² - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), then
x² - 81
= x² - 9²
= (x - 9)(x + 9)
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.
Let the speed of one rider = x
The speed of the second rider would e 2x ( twice as fast)
The total speed of the two riders would be x + 2x = 3x
Speed = Distance / time
Using the numbers:
3x = 72/3
Simplify:
3x = 24
Divide both sides by 3:
x = 8
The speed of one rider is 8 miles per hour
The speed of the second rider is 2(8) = 16 miles per hour.
