Pls help me so I can pass

Mathematics

2 answers:

Naddika [18.5K]3 years ago

8 0

Answer:

The slope of the line is constant. This is because all straight lines have a constant slope. The slope of this line is 1/3. When you use the legs to measure, the horizontal legs of the triangle, they increase in length by 3 units from the previous triangle. The vertical legs of the triangle also increase by 1 with each added triangle. Both of these observations support that the slope of the line is a constant 1/3.

Step-by-step explanation:

I know you were going to copy and paste so i put all above. Hope it helps you.

Lilit [14]3 years ago

4 0

The answer above ………………………

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Please help me i need the answer right now. The lesson is Rational Root Theorem.

Debora [2.8K]

Step-by-step explanation:

1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the

x+4.(3x+1)(x)
The volume is 720.
Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is

$(3x + 1)(x + 4)$

$(3 {x}^{2} + 13x + 4)x = 720$

Multiply it by x.

$3 {x}^{3} + 13 {x}^{2} + 4x = 720$

$3{x}^{3} + 13 {x}^{2} + 4 x - 720$

The possible roots

The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be

$x = 5$

2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.

Let check via synethic division to see which are roots.

Let try 1 and -1 first. If we plug 1 into the equation, we get

$1 - 2 - 5 + 6 = 0$

So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in

${x}^{2} - x - 6$