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3 years ago

Is it a polynomial?

Mathematics

1 answer:

masya89 [10]3 years ago

4 0

Answer:

It is a polynomial

Step-by-step explanation:

The given expression $\boxed{represents}$ a polynomial.

Type: monomial or cubic

Degree: 3

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Reflect the given triangle over the line y=x. [3 6 3 -3 3 3]

iragen [17]

If reflected over y = x

then use

$\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]$

=====================

$\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right]$

similar as (x, y) → (y, x)

multiply the matrixes to get the final answer

$\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right]$

$\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]$

3 0

2 years ago

This graph shows a proportional relationship.

Alisiya [41]

Answer:

The constant of proportionality is:

k = 5/4

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality

From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.

so we have the point (2/5, 1/2), and

x = 2/5

y = 1/2

so substituting x = 2/5 and y = 1/2 in the equation

k = y/x

k = [1/2] / [2/5]

k = [1 × 5 ] / [2 × 2 ]

k = 5/4

Therefore, the constant of proportionality is:

k = 5/4

5 0

3 years ago

Which expression is NOT equivalent to 125.78 ÷ 1.23?

Viefleur [7K]

Answer:

Choice C.

Step-by-step explanation:

For an expression to be equivalent you need to multiply or divide the 2 numbers in the original expression by the same number.

For example A is equivalent because both 125.78 and 1.23 have been multiplied by 100.

The odd one out is C because 125.78 has been divided by 100 but 1.23 has been multiplied by 10.

7 0

4 years ago

How do you subtract 9 2/6 - 6 5/6 =

DerKrebs [107]

9 2/6 = ((9*6)+2) / 6 = (54+2) / 6 = 56 / 6
6 5/6 = ((6*6) + 5) / 6 = (36+5) / 6 = 41 / 6

9 2/6 - 6 5/6 = 56 / 6 - 41 / 6 = 15 / 6 = 2 3/6 = 2 1/2

8 0

3 years ago

Read 2 more answers

Find an equation of the plane that contains (3, 4, −9) and is parallel to x + y − 5z = 1. (Use x, y, and z for coordinates.)

emmainna [20.7K]

Answer:

x + y - 5z = 52

Step-by-step explanation:

Given data:

Point on the plane (3,4,-9)

parallel to x + y -5z = 1

Finding the normal vector

(1 , 1 , -5)(x, y , z) = 1

the normal vector is (1 , 1 , -5)

formula for finding equation the plane given the normal vector (a,b,c) and point (m,n,o) is as

a(x - m) + b(y - n) + c(z-o)=0

Substituting the data we have

1(x-3) + 1( y- 4) - 5(z+9) =0

x-3 +y -4 -5z -45 = 0

x + y - 5z = 45 +4 +3

x + y - 5z = 52

6 0

3 years ago