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ra1l [238]
3 years ago
13

I need help automatically

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0
I believe the answer to that question is -20
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Ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication
Molodets [167]

Answer:

x=1\,,\,y=-1

Step-by-step explanation:

Given: ax+by=a-b\,,\,bx-ay=a+b

To solve: the given linear equations

Solution:

Consider the equations:

A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0

By method of cross multiplication:

\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}

For equations: ax+by=a-b\,,\,bx-ay=a+b

ax+by-(a-b)=0\\bx-ay-(a+b)=0

Take A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)

So,

\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1

6 0
3 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integers
Roman55 [17]

I think the answer is -25

3 0
3 years ago
Read 2 more answers
Find the measure of each angle indicated. Round to the nearest tenth.
vampirchik [111]

Answer:

51

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an
tekilochka [14]

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84

The formula for z-score:

\to x = z \times  \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x=  778.2\\\\ \to x= 778

6 0
3 years ago
The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0
1 year ago
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