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2 years ago

What is always true about irrational numbers and rational numbers?

Mathematics

1 answer:

jeyben [28]2 years ago

7 0

Answer:

The sum of a rational number and an irrational number is irrational

Step-by-step explanation:

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Find the transition matrix from B to B'. B = {(-1,2), (3, 4)), B' = {(1, 0), (0, 1)} STEP 1: Begin by forming the following matr

8_murik_8 [283]

Answer: The required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :

B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

$(-1,2)=a(1,0)+b(0,1)\\\\\Rightarrow (-1,2)=(a,b)\\\\\Rightarrow a=-1,b=2.$

Again, let us consider reals c and d such that

$(3,4)=c(1,0)+d(0,1)\\\\\Rightarrow (3,4)=(c,d)\\\\\Rightarrow c=3,d=4.$

Therefore, the transition matrix is given by

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

Thus, the required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

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2 years ago

If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?

kiruha [24]

I hope this helps you

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2 years ago

Explain how to get the variable alone in each question k-13=29

nadya68 [22]

Add 13 to both sides, which leaves you with k=42.

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2 years ago

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What is the rate of change between (-8,- 8) and (0,8)

iren [92.7K]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

We need to find thr rate of change (slope) of the line joining these two points ~

$\qquad \sf \dashrightarrow \: m = \dfrac{rise}{run}$

$\qquad \sf \dashrightarrow \: m = \cfrac{8 - ( - 8)}{0 - ( - 8)}$

$\qquad \sf \dashrightarrow \: m = \cfrac{8 + 8}{0 + 8}$

$\qquad \sf \dashrightarrow \: m = \cfrac{16}{8}$

$\qquad \sf \dashrightarrow \: m = 2$

Slope of the line (m) joining the two points is 2 ~

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1 year ago

Can someone help my cousin? hes in 5th grade and im not sure if im right with this question. :)

agasfer [191]

Answer: 2.25 = 18.90

Step-by-step explanation: Hope This Helps

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2 years ago