P = 2(L + W)
L = W + 5
A = 4P + 2
P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10
A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42
A = L * W
A = W(W + 5)
A = W^2 + 5W
W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0
W - 14 = 0
W = 14 <==
L = W + 5
L = 14 + 5
L = 19 <==
P = 2(19 + 14)
P = 2(33)
P = 66
A = L * W
A = 19 * 14
A = 266
answer : length = 19, width = 14....perimeter = 66....area = 266
The number is -13.
In order to find this, we first need to make each part of the statement into a mathematical statement.
Twice the difference of a number and 2.
2(x - 2)
Three times the sum of the number and 3
3(x + 3)
Now we can set them equal to each other and solve.
2(x - 2) = 3(x + 3) ----> Distribute
2x - 4 = 3x + 9 ------> Subtract 2x from both sides
-4 = x + 9 -----> Subtract 9 from both sides
-13 = x
Answer:
Step-by-step explanation:
1.From the given triangle, ABC, using the proportionality theorem, we get
⇒
⇒
Thus, the height will be 25 feet.
2.
Statement Reason
1.∠C≅∠E Given
2. ∠ABC≅∠DBE Vertically opposite angles
3. ΔABC is similar to ΔDBE AA similarity rule.
Answer:
- table: 14, 16, 18
- equation: P = 2n +12
Step-by-step explanation:
Perimeter values will be ...
rectangles . . . perimeter
1 . . . 14
2 . . . 16
3 . . . 18
__
The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...
P = 2(6 +n) = 12 +2n
Your equation is ...
P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.
_____
<em>Additional comment</em>
You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...
y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles
(5*5=25)-(14+7=21) which is basically
25-21
