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galben [10]
3 years ago
14

What does 9a squared + 2b squared if a=4 and b=7?

Mathematics
1 answer:
joja [24]3 years ago
7 0
Wait is a squared or 9a squared
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the sum of two numbers is 123. when the larger number is added to 5 times the smaller, the sum is 343. find the numbers.​
vovikov84 [41]
Create a system of equations
x + y = 123
5x + y = 343

I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55

Plug in
x + y = 123
55 + y = 123
y = 68

Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
3 0
2 years ago
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⚠️⚠️Please help⚠️⚠️ Pip and Ali share S785 in the ratio Pip:Ali = 4:1.<br><br> Work out Pip's share.
oksano4ka [1.4K]
<h3>Answer:   $628 </h3>

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

Work Shown:

x = Ali's share

4x = Pip's share, because it is four times bigger due to the ratio 4:1

x+4x = 5x = total amount of money = 785

5x = 785

x = 785/5

x = 157 dollars is Ali's share

4x = 4*157 = 628 dollars is Pip's share

Note that 157+628 = 785 to help confirm the answer.

7 0
3 years ago
Who can't wait for Cyberpunk to come out
andrey2020 [161]

Answer:

me cause I want to play that game so bad

6 0
2 years ago
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Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1 2 inches long. The scale
Vlad1618 [11]
Your answer is 14 :) 
8 0
3 years ago
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