Answer:
Denote that line: y = ax + b
Line passes (-2, 7) and (2,-5):
=> -2a + b =7
=> 2a + b = -5
Add both side of above equations:
=> 2b = 2
=> b = 1
=> a = (-5 - 1)/2 = -3
=> Slope a = -3
Hope this helps!
:)
Answer:
GCF(330, 75, 450, 225) = 15
Steps:
Prime factorization of the numbers:
330 = 2 × 3 × 5 × 11
75 = 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
GCF(330, 75, 450, 225)
= 3 × 5
= 15
3x+25=90
-25=-25
3x=65
x=26.6666666666666666666666
I hope this helps!
Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

Now, differentiate to obtain


To obtain the required form, extract a factor in both the numerator and denominator:

ANSWER:
d = 15
The swimmer swam 48 kilometres in 15 days.
STEP-BY-STEP EXPLANATION:
Let d = total no. of days the swimmer swam
Total no. of kilometres swam = 48
Average no. of kilometres swam daily = 3.2
THEREFORE:
3.2d = 48
d = 48 / 3.2
d = 15