Answer:
33feet
Step-by-step explanation:
If the base of the doghouse is 6 feet and the height is 5 feet, we can write;
6 feet base = 5 feet height
To get the length of the base if the height is 27.5feet
x feet base = 27.5 feet high
Divide both expressions
6/x = 5/27.5
5x = 6 * 27.5
5x = 165
x = 165/5
x = 33ft
Hence the length of its base will be 33feet
Answer:
<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>
Step-by-step explanation:
Answer:
A yes, B no
Step-by-step explanation:
The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.
A Given 21, 18, 17 , then
21 + 18 = 39 > 17
21 + 17 = 38 > 18
18 + 17 = 35 > 21
Thus the triangle could exist
B Given 3, 12, 8 , then
3 + 12 = 9 > 8
3 + 8 = 11 < 12 ← fails the test
Thus the triangle does not exist
Answer:
1x + 5
Step-by-step explanation:
Since the area of a rectangle of width w and length l is A = l*w,
length = Area / Width.
Here, x^2 + 8x + 15
length of rectangle = ----------------------
x + 3
Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).
-3 / 1 8 15
-3 -15
-------------------------
1 5 0
Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.
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