Answer:
4 units to the left
Step-by-step explanation:
Answer: length = 305 feet
Width = 126 feet
Step-by-step explanation:
Let L represent the length of the rectangular field.
Let W represent the width of the rectangular field.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a garden is 88 feet. This means that
2(L + W) = 862
Dividing through by 2, it becomes
L + W = 431 - - - - - - - - - - - -1
The length is 179 feet more than the width. This means that
L = W + 179
Substituting L = W + 179 into equation 1, it becomes
W + 179 + W = 431
2W + 179 = 431
2W = 431 - 179
2W = 252
W = 252/2
W = 126
L = W + 179 = 126 + 179
L = 305
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Answer:
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
Given values of g and h are:
g = -7
h = 3
<u>1. gh</u>
The two numbers are being multiplied
Putting the values
<u>2. g^2-h</u>
Putting the values
<u>3. g+h^2</u>
Putting the values
<u>4. g+h</u>
Putting the values
<u>5. h-g</u>
Putting the values
<u>6. g-h</u>
Putting values
Hence,
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Solution
- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.
- In the dataset given, the largest number is 12 while the smallest number is 3.
- Thus, the Range of the dataset is
Range = 9
