<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
Answer:
See below
Step-by-step explanation:
<u>Given function:</u>
m represents the domain and D represents the range of the function, therefore m = x, D = y
<u>Filling in the table:</u>
- for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values
- x = 10, 30, 50, 75, 100
- y = 39, 47, 55, 65, 75
Answer:
The answer is 1/2
Step-by-step explanation:
First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.
To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.
Next you add the two fractions: 6/8 + 3/8 = 9/8
Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8
After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8
So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.
So Luna's glass only has 1/2 in the cup.
Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
Answer:
b=19
Step-by-step explanation:
2x(3x+5)+3(3x+5)= (3x+5)(2x+3)= 6x²+ 9x+10x+15=6x²+19x +15
6x² + 19x +15 = ax²+bx+c
a=6, b=19, c=15