Graph the equation y = -6x + 12

Answer:

x² + y² + 2y - 1 = 0

Step-by-step explanation:

The general form of the equation for the circle:

x² + y² + ax + by + c = 0

Where: a, b and c are constants.

For the given equation:

x² + (y + 1)² = 2

∴ x² + (y + 1) (y+1) = 2

∴ x² + y² + 2y + 1  = 2  ⇒ subtract 2 from both sides

∴ x² + y² + 2y + 1 - 2 = 2 - 2

∴ x² + y² + 2y - 1 = 0

So, the general form of the equation for the circle:

x² + y² + 2y - 1 = 0

Answer:

2. either of two angles whose sum is 180°.

3. each of the pairs of opposite angles made by two intersecting lines.

4. Two angles are adjacent when they have a common side and a common vertex (corner point) and don't overlap.

5. The acute angle is an angle less than 90°

6. It is more than 90° and less than 180°.

7. an angle of 90°

8. an angle of 180°

Answer:

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Step-by-step explanation:

Given:

AD ≅ BC and AD || BC

To Prove:

ABCD is a Parallelogram

Proof:

Alternate Interior Angles Theorem :

"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Here AD || BC and the transversal is AC

  Statement               Reasons

1. AD ≅ BC  .           1. Given

2. AD || BC              2. Given

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

Therefore the correct assembling is

3.∠DAC ≅ ∠BCA    3. Alternate interior Angles are Equal as AD || BC.

The given mathematical equation, 0x4=0, can be turned into a word problem concerning a person with no money multiplying his funds. The result, as the equation suggests, is still no money, demonstrating that anything multiplied by 0 equals 0.

Let's create a word problem for the equation 0x4=0. Suppose Jack has no money (0 dollars) and he multiplies his money by 4. How much money does Jack have now? The equation to represent this situation is 0x4=0. That is, 0 (Jack's money) times 4 equals 0. So, Jack still has no money. This shows that anything multiplied by 0 is always 0, a fundamental rule in mathematics.

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Final answer:

To solve the word problem, we can use the equation 0x4=0. The solution is x = 0, which means that all the marbles will be left in the bag.

Explanation:

Solving a Word Problem using the Equation 0x4=0

Let's say we have a bag of marbles, and we want to find out how many marbles are left if we take 0 out of 4 marbles. To solve this problem, we can use the equation 0x4=0. According to the equation, no matter how many marbles we take (which is represented by 0), the result will always be 0. This means that in our case, all the marbles will be left in the bag, and none will be taken out.

Solution:

x = 0

Answer:

the 11th week.

Step-by-step explanation:

the expression for the markdown on the 8th week is p-.15p=.85p since it will get marked down 15% on the 8th week. the expression for the additional markdowns is p-.05p=.95p since it will get marked down an additional 5% every week after the 8th week.

On the 8th week it will be marked down to .85(150) = 126.50.

9th week: .95(127.50) = 121.13

10th week: .95(121.13) = 115.07

11th week: .95(115.07) = 109.32    

109 is under 110 therefore it is the 11th week.

Answer: 19/28

Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.

To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.

To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.

Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.

So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.

So, 1/4 + 3/7 = 19/28.

Answer:

60

Step-by-step explanation:

195mi / 3.25hr = 60 mi/hr60

Answer: 0.0166666666 recurring

Mph

Step-by-step explanation:

Answer: User got this. x=50+6/7 is the Answer.

Step-by-step explanation:

Step 1) Move all terms to the left:

(x+4)7/3-(128)=0

2) Multiply all the terms by the denominator

(x+4)7-128*3=0

3) Add all the numbers together, and all the variables

(x+4)7-384=0

4) Multiply parentheses

7x+28-384=0

5) Add all the numbers together, and all the variables

7x-356=0

6) Move all terms containing x to the left, all other terms to the right

7x=356

x=356/7

x=50+6/7

Answer:

71 < 2 · j

Step-by-step explanation:

71 less than twice Julie's age

Use the variable j to represent Julie's age.

71, less than (<) twice (2) and j represents the age

Answer:

311

Step-by-step explanation:

you could try to round it for example 510-200=310

310+3=313

313-2=311

Answer:

I believe the answer to this question is: 100.

Answer:

A line of best fit is a straight line that best represents the data on a scatter plot. The equation of the best fit line is y = ax + b. In this form, a is the slope of your best fit line and b is the y-intercept.

Answer:-5

Step-by-step explanation:

this is because it’s the X value. That’s the slope

Answer:

4

Step-by-step explanation:

using

[tex] \sqrt{(x2 - x1) + (y2 - y1)} [/tex]

[tex] \sqrt{(8 - 3) + (4 - ( - 7)} [/tex]

[tex] \sqrt{5 + 11} [/tex]

[tex] \sqrt{16} [/tex]

[tex] = 4[/tex]

Answer:

[tex]\sqrt36[/tex]

Step-by-step explanation:

I got it right on the test

Answer:

1000%

Step-by-step explanation:

Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.

900 % is the correct answer UvU

Have a good day!

Answer:

84% I believe

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

You take the 21 students with badges and multiply by 100. You get 2,100, take that and divided by 25. You get 84 percent ( I think it’s the answer so sorry if it’s wrong)

Answer:

x+10/

Step-by-step explanation:

Quotient of 4 =divide by 4

a number increased by 10= x+10

The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.

If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.

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3,400,000

I thaink but not shore if wrong i'm sorry

Answer:

666.6

Step-by-step explanation:

1.666666667*10^10^3= 666.6

Answer:

B. trapezoid

Step-by-step explanation:

The other three have two pairs of parallel sides

Answer:

B

Step-by-step explanation:

Final answer:

The probability that the students selected are both girls is 5/24.

Explanation:

To find the probability that both students selected are girls, we need to calculate the probability of selecting a girl from the seventh grade and a girl from the eighth grade and then multiply those probabilities together.

The probability of selecting a girl from the seventh grade is 5 girls out of 10 students, which can be expressed as 5/10 or 1/2.

The probability of selecting a girl from the eighth grade is 5 girls out of 12 students, which can be expressed as 5/12.

To find the probability of both events happening, we multiply the probabilities together: (1/2) * (5/12) = 5/24.

Therefore, the probability that the students selected are both girls is 5/24.

Answer:

To find the value for x you need to get x by itself

To do this we need to do the opposite of what it is showing

1.5 times x the opposite would be dividing

So we need to divide 1.5 from each side (what you do to one side you do to the other)

1.5x/1.5=x (x is now by itself)

3/1.5=2

x=2

Hope this helps ;)

Answer:

0.33

Step-by-step explanation:

If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.

Answer:

The solution is (2, -2)

Step-by-step explanation:

Let's find out the solution of the system:

10x − 2y = 24

6x + 2y = 8

Describing x in terms of y in the first equation, this way:

10x − 2y = 24

10x = 24 + 2y

x = 2 * (12 + y)/10 (Dividing by 10 at both sides)

x = (12 + y)/5 (Simplifying)

Solving for y in the 2nd equation:

6x + 2y = 8

6 * (12 + y)/5 + 2y = 8

(72 + 6y)/5 + 2y = 8

72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

16y = 40 - 72

16y = -32

y = -2

Solving for x in the 1st equation:

10x − 2y = 24

10x - 2 * -2 = 24

10x + 4 = 24

10x = 24 - 4

10x = 20

x = 20/10

x = 2

The solution is (2, -2)

You need to find "k", by isolating/getting "k" by itself in the equation

16.3k + 19.2 + 7.5k = -64.1     First combine like terms, 16.3k and 7.5k

23.8k + 19.2 = -64.1       Subtract 19.2 on both sides

23.8k = -83.3       Divide 23.8 on both sides to get "k" by itself

k = - 3.5

Two numbers = 37

Larger number is x, so the smaller number is 37 - x:

x + (37 - x) = 37

“The difference” is subtraction, so we are subtracting the smaller and larger number.

“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:

-(37 - x) = -37 + x

We then simplify:

9 + 2x - 37 + x + 3 (subtract 3)

9 + 2x - 34 + x

-25 + 2x + x (subtract 8 and 34 then add 2x and x)

-25 + 3x

The variable expression for the given problem, where x is the larger number and the sum of two numbers is thirty-seven, is 2x + 9 - (37 - x + 3).

The student is asking to translate a word problem into a variable expression. The problem states that the sum of two numbers is thirty-seven and defines the larger number as x. We want to find the expression for "the difference between nine more than twice the larger number and the sum of the smaller number and three". Knowing that the sum of the two numbers is thirty-seven, we can represent the smaller number as 37 - x. Therefore, the expression would be 2x + 9 - (37 - x + 3).

Final answer:

The taxi driver earns $70 in one day after deducting the cost of petrol from his gross income.

Explanation:

To calculate the taxi driver's earnings, we need to consider his hourly wage, the number of hours worked, and the cost of petrol used during the day. The driver earns $9 per hour and works for 10 hours a day. Thus, his total gross income for the day is $90 (9 dollars/hour times 10 hours). However, he also uses petrol for which he incurs a cost. He uses 2 liters per hour, and since petrol costs $1 per liter, he spends $2 per hour on petrol. Over 10 hours, he thus spends $20 on petrol (2 dollars/hour times 10 hours). To find his net earning, we subtract the petrol cost from the gross income: $90 - $20, which equals $70.