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3 years ago

SOLVE AND CHECK1) -2K + 7 = -32) 3M + 5 = 143) 11 = 1/3 A + 2 4) -4.5 = -0.15P

Mathematics

1 answer:

azamat3 years ago

5 0

My answers and checking my answers are attached on the bottom on the word document

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If alpha and beta are roots of quadratic equation x^2 - p( x + 1) - c = 0 then (alpha + 1 )( beta + 1) =?

Harrizon [31]

Answer:

Step-by-step explanation:

x²-px-p-c=0

sum of roots=α+β=-b/a=p

product of roots=αβ=c/a=-p-c

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3 years ago

Matrices A and B are square matrices of the same size. Prove Tr(c(A + B)) = C (Tr(A) + Tr(B)).

alexira [117]

Answer with Step-by-step explanation:

We are given that two matrices A and B are square matrices of the same size.

We have to prove that

Tr(C(A+B)=C(Tr(A)+Tr(B))

Where C is constant

We know that tr A=Sum of diagonal elements of A

Therefore,

Tr(A)=Sum of diagonal elements of A

Tr(B)=Sum of diagonal elements of B

C(Tr(A))= $C\cdot$ Sum of diagonal elements of A

C(Tr(B))= $C\cdot$ Sum of diagonal elements of B

$C(A+B)=C\cdot (A+B)$

Tr(C(A+B)=Sum of diagonal elements of (C(A+B))

Suppose ,A= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]$

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

Tr(A)=1+1=2

Tr(B)=1+1=2

C(Tr(A)+Tr(B))=C(2+2)=4C

A+B= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]+\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]$

A+B= $\left[\begin{array}{ccc}2&1\\2&2\end{array}\right]$

C(A+B)= $\left[\begin{array}{ccc}2C&C\\2C&2C\end{array}\right]$

Tr(C(A+B))=2C+2C=4C

Hence, Tr(C(A+B)=C(Tr(A)+Tr(B))

Hence, proved.

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3 years ago

Amanda is walking away from a light pole at a rate of 4 feet per second. If she starts at a distance of 6 feet from the light po

Fynjy0 [20]

i think it would be 960 feet. bc you would multiply 4 by 60, then multiply 240 by 4.

i think thats how you solve it. hope that helped :)

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2 years ago

In a felony case the purpose of a grand jury is to<br>

Ahat [919]

Answer:

In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution. In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution

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3 years ago

What’s is the radius for a circle whose equation is x2 + y2=16

AysviL [449]

Answer:

Step-by-step explanation:

The equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

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3 years ago

SOLVE AND CHECK1) -2K + 7 = -32) 3M + 5 = 143) 11 = 1/3 A + 2 4) -4.5 = -0.15P​

SOLVE AND CHECK1) -2K + 7 = -32) 3M + 5 = 143) 11 = 1/3 A + 2 4) -4.5 = -0.15P