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erica [24]
3 years ago
12

The slope-intercept from of the equation of a line that passes through (-2,-13) is y = 5x – 3. What is the point-slope from of t

he equation for this line

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x - 3 with m = 5 and (a, b) = (- 2, - 13), then

y +13 = 5(x + 2) ← in point- slope form

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Determine which of the indicated column vectors are eigenvectors of the given matrix
gladu [14]
]Eigenvectors are found by the equation (A-\lambda I) \vec{v} = 0$ implying that \det(A-\lambda I) = 0. We then can write:

A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ] 

And:

\det(A-\lambda I) = (4-\lambda)(1-\lambda) - 10 = 0 

Gives us the characteristic polynomial:

\lambda^2 - 5 \lambda -6 = 0 \implies \lambda_1 = -1, \lambda_2 = 6

So, solving for each eigenvector subspace:

\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]

Gives us the system of equations:

4x + 2y = -x \newline 5x + y = - y 

Producing the subspace along the line y = -\frac{5}{2} x

We can see then that 3 is the answer. 



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3 years ago
Quickkk?!! <br> For each equation, determine whether it is linear.
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Answer:

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Find the Total Surface area of a Pyramid. Its base is a regular hexagon 4cm on a side. its height is 8 cm. Round off to nearest
oksano4ka [1.4K]

Answer:

The total surface area of a regular hexagonal pyramid is 146.2 cm².

Step-by-step explanation:

The base is a regular hexagon 4cm on a side. its height is 8 cm.

The total surface area of a pyramid with regular hexagon base

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Where, a represents the base edge and h represents the height of the pyramid.

The area of given regular hexagonal pyramid is

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A=24\sqrt{3}+12\sqrt{76}

A=146.182794027

A=146.2

The total surface area of a regular hexagonal pyramid is 146.2 cm².

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When Aristotle Proclaimed his new theory, 87 responded. If this was only 3/5 the number of responses expected, how many response
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3/5 of the total responses expected = 87...
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