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4 years ago

Consider the matrix shown below:

Mathematics

1 answer:

WINSTONCH [101]4 years ago

3 0

Answer:

Step-by-step explanation:

P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.

So we have first row: 2, 5, it will be firsl column

2nd row: 8,1 will be 2nd column.

It is matrix:

2 8

5 1

This is matrix a)

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What is this expression in the simplest radical form

Ede4ka [16]

Fist you would distribute then simplify the radical.

8 0

4 years ago

What is the fifth term of the geometric sequence? 5, 15 , 45, ...

Virty [35]

The geometry sequence has the equation $a(n)=5(3^{n-1})$ .

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = $5(3^{5-1})=5(3^{4})=5(81)=405$

answer: 405

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3 years ago

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Paladinen [302]

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

$y-4 = \frac{2}{3}(x-1)$

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, $y = -\frac{3}{2} x-4$ . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since $-\frac{3}{2}$ is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be $\frac{2}{3}$ .

2) Now, use the point-slope formula, $y-y_1 = m (x-x_1)$ to write the new equation with the given information. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute $\frac{2}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for $x_1$ and 4 for $y_1$ . This gives the following equation and answer:

$y-4 = \frac{2}{3}(x-1)$

3 0

3 years ago

-7b< -35<br> =less than or equal two

timama [110]

Answer:

b>5

=greater than or equal too

Step-by-step explanation:

divide -35 by -5, and since you are dividing by a negative, the sign flips

6 0

3 years ago

The volume of a sphere whose diameter is 18 centimeters is

Akimi4 [234]

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

<h2>volume before reducing is <u>8</u> times the volume after reducing</h2>

5 0

3 years ago