MATHEMATICS MIDDLE SCHOOL

Solve Ax + By = -C for x.
Ox=-By-C
А
x=-By+C
Ox=By=0
Solve Ax + By = -C for x. Ox=-By-C А - 1

Answers

Answer 1
Answer:

Answer:

\textbf{Option 1}\n

Step-by-step explanation:

\textup{Given $ Ax + By = -C$}\n\textup{Subtracting $By$ on both sides, we get,}\n$ Ax = -C -By $\n

\textup{Dividing by $A$ on both sides, (Assuming $A$ is not equal to zero) we get }\n$$ x = (-By -C)/(A)$$

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I need help plz and I failed it the first time thx u

Which system of equations below has exactly one solution?y = –8x – 6 and y = –8x + 6

y = –8x – 6 and One-halfy = –4x – 3

y = –8x – 6 and y = 8x – 6

y = –8x – 6 and –y = 8x + 6

Answers

Answer:

The given system of equations  y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

Given that the system of equations y=-8x-6\hfill (1) and

y=8x-6\hfill (2) has exactly one solution

For :

Now to show that the given system of equations has exactly one solution :

Solving the given equations (1) and (2) to get solution

Adding the equations (1) and (2) we get

y=-8x-6

y=8x-6

______________

2y=0-12

y=-(12)/(2)

=-6

Therefore the value of is y=-6

Substitute the value of y in equation (1) we have

-6=-8x-6

-8x-6+6=0

-8x+0=0

-8x=0

x=-(0)/(8)

=0

Therefore the value of x is x=0

Therefore it has exactly one solution is (0,-6)

Therefore the  given system of equations  y=-8x-6 and

y=8x-6 has exactly one solutione given  system of equations has exactly one solution

Answer:

y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

which of the following is not a pythagoren tripple? A. 15, 46, 39 B. 24, 45, 51 C. 21, 72, 76 D. 18, 24, 30

Answers

Answer:

A

Step-by-step explanation:

15^2 = 225 (memorize everything to 20, thank me later)

39^2 = 1521 (just use a calculator for everything higher)

225 + 1521

1521 =?= 45^2

45^2 = 2025

1521 =/= 2025

Just to be sure, I'll do 15^2 + 45^2 (going to be too much)

225 + 2025 = 2250

2250 =/= 1521
The answer would be a

A test has 20 questions worth 100 points. The test consists of true/false questionsworth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test? A. 10 mc, 10 t&f
B. 7 mc, 13 t&f
C. 2 mc, 18 t&f
D. 5 mc, 15 t&f

Answers

answer is D) 5 mc, 15 t&f
you have two unknown variables, thus you need two equations

definitions:
a = quantity of multiple choice questions
b = quantity of true and false questions

100 points = a*11 points/question + b*3 points/question
20 questions = a +b

using 2nd equation, find equation for 'a':
a = 20 - b

substitute this equation for 'a' into 1st equation:
100 = 11a + 3b
100 = 11(20 - b) + 3b
100 = 220 - 11b + 3b
100 - 220 = -8b
-120 = -8b
-120/-8 = b
15 = b

resolve 2nd equation now knowing value of 'b':
a = 20 - b
a = 20 - 15
a = 5

verify solution is correct by substituting values into first equation
11a + 3b = 100
11(5) + 3(15) = 100
55 + 45 = 100
100 = 100 [OK]

verify solution is correct by substituting values into second equation
a + b = 20
5 + 15 = 20
20 = 20 [OK]

Final answer:

There are 5 multiple-choice questions on the test.

Explanation:

The total number of points for the test is 100. Let's assume there are x multiple-choice questions on the test. Each multiple-choice question is worth 11 points. So the total number of points for multiple choice questions is 11x. The remaining points, 100 - 11x, are for the true/false questions, each worth 3 points. To find the number of multiple-choice questions, we need to solve the equation: 11x + 3(20 - x) = 100.

Simplifying the equation gives us: 11x + 60 - 3x = 100. Combining like terms gives us: 8x + 60 = 100. Subtracting 60 from both sides gives us: 8x = 40. Dividing both sides by 8 gives us: x = 5.

Therefore, there are 5 multiple-choice questions on the test.

Learn more about the Number of multiple-choice questions here:

brainly.com/question/20936056

#SPJ12

Please Help!
With a math homework.

Answers

For #3:

y = 1/2x, x = -18

Plug in -18 for 'x':

y = 1/2(-18)

y = -9

For #4:

y = -4x + 6, x = 1

Plug in 1 for 'x':

y = -4(1) + 6

y = -4 + 6

y = 2
1. (2,3),(6,4),(8,11),(10,4)
2. (7,-13),(9,-9),(11,-5),(14,-1)
Both relations are functions.

3. y(-18)=(1)/(2)\cdot(-18)=-9
4. y(1)=-4\cdot1+6=-4+6=2

5. It's easy to notice it's a linear function.
y=mx+b\nm=(y_2-y_1)/(x_2-x_1)\n\nm=(-10-(-5))/(2-1)\nm=(-5)/(1)\nm=-5\n\n-5=-5\cdot1+b\nb=0\n\n\boxed{y=-5x}

Do u need a common denominator if you have adding and dividing in fractions?

Answers

You only need a common denominator for adding and subtracting! 
No you don't because you use the reciprocal and then multiply to divide the fractions, not a common denominator, you need that when there are different denominators and you are adding/subtracting

And;Find the slope of the line that goes through the given points.

(-6. - 4) and (-8. - 10)

Answers

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 4) and (x₂, y₂ ) = (- 8, - 10)

m = (-10+4)/(-8+6) = (-6)/(-2) = 3
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