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astraxan [27]
3 years ago
11

If a triangle has lengths of 3gt and 54ft check all possible lengths for third side

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

18 ft

Step-by-step explanation:

just divide 54 and 3  

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The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
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Which strategy is the most appropriate strategy to solve (x−1)^2=9 ?
Leya [2.2K]
(x-1)^2=9 <=> x-1=3 <=> x=4
3 0
3 years ago
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What is the exact volume of a cylinder whose radius is 8 inches and height is 5 inches
stepan [7]
<span>Cylinder Volume   =   </span><span>π • r² • height
</span><span>Cylinder Volume   =   3.14159265 * 8*8*5
</span>Cylinder Volume   =   <span> <span> <span> 1,005.31 cubic inches </span> </span> </span>

6 0
3 years ago
The segments shown below could form a triangle. A. True B. False​
Mashutka [201]

Answer:

true

Step-by-step explanation:

join a, b, c the attach the value A to C=9, B to C=7, and B to A=16

4 0
2 years ago
If the pattern continues, what would be the seventh number in the pattern?
Luda [366]
The answer would be 76
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3 years ago
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