(f – g)(x) = 7x - √2 - (x + √2)
(f – g)(x) = 7x - √2 - x - √2
<span>(f – g)(x) = 6x - 2</span>√2
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =

gallons of yellow

gallons of blue

total =144+30+6
=180
Answer:
If the number is infinite then it's irrational
Answer:
-2
Step-by-step explanation:
The slope of a line is rise/run
So, just see how much the line rises/how much the line runs
In this case, the line rises 2 units for every -1 unit it runs
So, the slope is -2
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>