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Alex
2 years ago
5

The terms in an expression each have a coefficient of 1 and contain the exact same variables, but raised to different powers. De

scribe the greatest common factor of the expression.
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
4 0
The greatest common factor is the term in which the variable is raised to the lower power. this can be factored out of all terms, and is the greatest factor that can do so.
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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
Rewrite each of the following expressions without using absolute value bars.
Slav-nsk [51]

Answer:

A |x−4| if x>4

Step-by-step explanation:

8 0
2 years ago
A section of concrete pipe 30m long has an inside diameter of 1.2m and an outside diameter of 1.8m. what is the volume of concre
Fudgin [204]

length of pipe= 30m

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Outside dia. = 1.8m


Volume of concrete= (outside dia. - inside dia.)h

V= (pi)
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v= (3.3534-1.1304)30
v=(2.233)30 = 66.690m cube

since it's volume the answer 66.690 is in cubic meters.

5 0
3 years ago
What is the volume of the triangular prism?
nekit [7.7K]
12 if not just look it up on quiz lit and you’ll get it it’s on safari or use scan and solve
3 0
2 years ago
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Just answer some questions
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