MATHEMATICS HIGH SCHOOL

-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ​ ×(− 7 9 ​ )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis

Answers

Answer 1
Answer:

Answer:

  (3)/(14)

Step-by-step explanation:

The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.

  -(1)/(6) * \left(-(9)/(7)\right)=(1\cdot 9)/(6\cdot 7)=(3\cdot 3)/(3\cdot 14)=\boxed{(3)/(14)}
Answer 2
Answer:

The answer to the expression \(-(1)/(6) * \left(-(9)/(7)\right) - (1)/(6) * \left(-(9)/(7)\right)\)  is 0.

In this expression, we have two terms that are identical: \(-(1)/(6) * \left(-(9)/(7)\right)\) and \(-(1)/(6) * \left(-(9)/(7)\right)\).

When we multiply a negative number by another negative number, the result is positive.

So, both of these terms become positive, and since they are identical, when we subtract one from the other, we get zero.

Now, let's provide a more detailed explanation.

When we multiply \(-(1)/(6)\) by \(-(9)/(7)\), we first multiply the numerators to get 9 and the denominators to get 42.

So, \(-(1)/(6) * \left(-(9)/(7)\right) = (9)/(42)\).

Now, we can simplify \((9)/(42)\) by dividing both the numerator and denominator by their greatest common divisor, which is 3.

So, \((9)/(42)\) simplifies to \((3)/(14)\).

Therefore, the expression becomes \((3)/(14) - (3)/(14)\), and when we subtract these two identical fractions, the result is indeed 0.

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Related Questions

anna walked to a friends house m miles away at an average rate of 4mph. the m mile walk home was only at 3 mph however. express the time Anna spent walking as a single fraction. help!!! Urgent!!!
An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 as the value of pi .
What is one half of a number is equal to 14. What is the number?
Please help me with this question
50 POINTS PLEASE HELP

Which is an equation in point-slope from for the given point and slope point (-2,4)slope:5

Answers

If we have a point, (x1;y1) and a slope, m, here's the formula we use to find the equation of a line: y - y1 =m( x - x1); where x1 = -2 ; y1 = 4 ; m = 5.
Then, y-4 = 5(x+2);
Finally, y-4 = 5x + 10 / +4
y = 5x + 14 ;

Solve for x.
5x - 6 = 4x + 8

Answers

5x - 6 = 4x + 8
-4x        -4x

x - 6 = 8
    +6   +6

x = 14

Answer: x = 14
First let's get X to one side by subtracting 4x from both sides. (5x-4x) -6 = 8. x-6=8. Now we add 6 to both sides to isolate "x". x=8+6=14. Our answer is x=14.

In circle F, the measure of ∠AFE is equal to 120° and the measure of arc BD is equal to 20°.What is the measure of ∠C?



100°

40°

60°

50°

Answers

Answer:

40

Step-by-step explanation:

AFE=120 so arc AE is also 120

those 3 angles add up to 180 and 180-120-20=40

The measure of ∠C is 40°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Angle measure of central angle is equals to measure of intercepted arc.

External angle formed outside a circle,

= Half the difference of the major and minor arc =

Angle measure of AFE

= arc AE = 120°

Thus:

m∠C = 1/2(120 - 40)

m∠C = 40°

So, the angle measure of C is 40°

Therefore, 40° is the measure of ∠C.

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Find four consecutive integers such that twice the sum of the two greater integers exceeds three times the first by 91

Answers

Answer:

81, 82, 83, 84.

Step-by-step explanation:

Let x represent 1st integer. Then the next three consecutive integers would be x+1,x+2\text{ and }x+3.

We have been given that twice the sum of the two greater integers exceeds three times the first by 91. We can represent our given information in an equation as:

2(x+2+x+3)=3x+91

Let us solve for x.

2(2x+5)=3x+91

4x+10=3x+91

4x-3x+10=3x-3x+91

x+10=91

x+10-10=91-10

x=81

Therefore, the 1st integer would be 81.

The next three consecutive integers would be:

81+1=82\n81+2=83\n81+3=84

Therefore, our required four consecutive integers are 81, 82, 83, 84.

Final answer:

To find four consecutive integers, set up an equation using the given information and solve for x. The four consecutive integers are -86, -85, -84, and -83.

Explanation:

To find four consecutive integers, we can let the first integer be x. The next three consecutive integers would then be x+1, x+2, and x+3. According to the given condition, twice the sum of the two greater integers (x+2 + x+3 = 2x+5) exceeds three times the first integer (3x) by 91. So, we can set up the equation 2x+5 = 3x + 91 and solve for x.

Subtracting 2x from both sides yields 5 = x + 91. Subtracting 91 from both sides gives -86 = x. Therefore, the four consecutive integers are -86, -85, -84, and -83.

Learn more about Consecutive Integers here:

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What’s the length of the missing leg ??
Pls help!!

Answers

The answer i got is 12

Answer:

12

Step-by-step explanation:

If you use the pathagrem therom a^2+b^2=c^2 and fill it in it would be 9^2+b=15^2.

Then just do basic math to simplify the equation

9*9=81

15*15=225

81+b= 225

b= 225-81

b= 144

finally square root 144 and thats how you get 12

If n-8=-3, what is 3n?

Answers

Answer:

34

Step-by-step explanation:
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