Rectangle with the width of 23 and ten because if u have 236 and so you divide it by 23 since that is the width and then you get ten reminder 6. yeah btw iam in 5th grade and 23 cannot go into 6.
Answer:
width = 72 yards
length = 108 yards
Step-by-step explanation:
Given:
- Width = 75 yards
- Length = 105 yards
<u>Area of the field</u> with the given values:

To maintain the <u>same perimeter</u>, but <u>change the area</u>, either:
- decrease the width and increase the length by the same amount, or
- increase the width and decrease the length by the same amount.
In geometry, length pertains to the <u>longest side</u> of the rectangle while width is the <u>shorter side</u>. Therefore, we should choose:
- decrease the <u>width</u> and increase the <u>length</u> by the <u>same amount</u>.
<u>Define the variables</u>:
- Let x = the amount by which to decrease/increase the width and length.
Therefore:


Solve the inequality:

Therefore, as distance is positive only and the maximum width is 75 yd (since we are subtracting from the original width):


Therefore, to find the width and length of another rectangular field that has the same perimeter but a smaller area than the first field, simply substitute a value of x from the restricted interval into the found expressions for width and length:
<u>Example 1</u>:
⇒ Width = 75 - 3 = 72 yd
⇒ Length = 105 + 3 = 108 yd
⇒ Perimeter = 2(72 + 108) = 360 yd
⇒ Area = 72 × 108 = 7776 yd²
<u>Example 2</u>:
⇒ Width = 75 - 74 = 1 yd
⇒ Length = 105 + 74 = 179 yd
⇒ Perimeter = 2(1 + 179) = 360 yd
⇒ Area = 1 × 179 = 179 yd²
Let's say the smaller number is x. Then, we can represent the larger number as x + 1. The +1 means that it's both larger, because adding makes a number larger, and consecutive, because it's 1 greater or less.
Then, we can write an equation. The sum of the two numbers is x + (x + 1), and it's equal to -165.
x + (x + 1) = -165
2x + 1 = -165
2x = -166
x = -83
Since x = -83, the smaller number is -83.
Answer:
D) g(x) is shifted 4 units to the left and 6 units down
Step-by-step explanation:
When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.
Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.