Answer:
-30
Step-by-step explanation:
To find slope, subtract two y's and then subtract the x's in the same order.
<u>12-(-18)</u>=<u>30</u>=-30
11-12 -1
You could also switch the order like this...
<u>-18-12</u>=<u>-30</u>=-30
12-11 1
As you can see, both of the ways of solving for slope resulted in -30.
Hope this helps!! Have a great day :3
We integrate the given equation such that,
integral of g(x) = (5/3)x³ - 9x² + 35x
Substituting,
x = 13
integral of g(x) = (5/3)(13³) - 9(13)² + 35(13)
= 2595.67
and, x = 0
integral of g(x) = 0
The area is 2595.67 - 0 = 2595.67
For the second part,
x = 1
integral of g(x) = (5/3)(1)³ - 9(1)² + 35(1)
= 27.67
Area under the curve between x = 0 and x = 1 is 27.67
The difference between the two areas is,
2595.67 - 27.67 = 2568.0
Answer: 2568.0 units squared
Hello,
Let's assume f the age of the father,
s the age of the son.
<span>The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)
</span>
<span>In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)
(2)==>f+s+6=52
==>f+s=46 (3)
(3) and (1) ==>7s-2+s=46
==>8s=48
==>s=6
f=46-6=40
</span>
Answer:
The other number is 22.
Step-by-step explanation:
66 is the lowest common multiple of 6 and a number between 15 and 25.
The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.
Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.
And conveniently, the lowest common multiple of 6 and 22 is 66.
Hence, the other number is evidently 22.
Hope this Helps!!!
7^5 is your answer
Hope this helps