Answer:
Step-by-step explanation:
Given
-- Objective function
Constraints:
Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of and
From the attached plot, the point that satisfy is:
So, we have:
This gives:
Answer: 18
Step-by-step explanation: 3(2+4)
<h3>
Answer: -14 degrees Fahrenheit</h3>
Explanation:
Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.
Answer:
There are 9 dimes and 15 nickels.
Step-by-step explanation:
Let number of dimes be 'd' and number of nickels be 'n'.
Given:
Total amount Debi has = $1.65
Number of nickels is 6 more than dimes.
We know that,
1 dime = $0.10
∴ 'd' dimes = $
1 nickel = $0.05
∴ 'n' nickels = $
As per question,
Number of nickels = 6 + number of dimes
∴ --------1
Also, total amount = $1.65
∴ ------2
Now, solving equations (1) and (2) for 'n' and 'd'.
Plug in the value of 'n' from equation (1) in equation (2). This gives,
Therefore, the number of dimes are 9.
Number of nickels are = 9 + 6 = 15
8. Since A F is perpendicular to J K, you know angles J A F and K A F are congruent (both are right angles). Since A F bisects J K, you know the lengths of J A and K A are the same. Side A F is incident to both triangles, and of course the lengths A F = A F. So we have two side-angle-side triangles, and by the SAS postulate we have triangles J F K and K F A congruent to one another.
9. Yes. The corresponding sides in both triangles have the same lengths. (S K to K F; S J to F J; J K to itself) The claim then follows from the SSS postulate.