MATHEMATICS MIDDLE SCHOOL

Find the slope of the parallel to each given line.1) y=2/3x-2
2)y=9/5x-5


Find the slope of a line perpendicular to each given line

1)y=-1/2x-2
2)y=-x-1

Answers

Answer 1
Answer: Slopes of parallel lines are same, only the y-intercepts are different

Slopes of perpendicular lines are opposite reciprocals, which means when they are multiplied, it equals to -1.

1)
Parallel lines have the same slopes
y=mx+b where m is the slope

so the slope of a parallel line would be 2/3

2)
y=9/5x -5
slope will be 9/5

Next set of questions:

1) y=-1/2x - 2

-(1)/(2) * x = -1 \to x = 2

So that means the slope is 2

2) y=-x-1
Slope is -1, and we need to find the slope for a line perpendicular to it.

-1 * x = -1 \to x=1

So the slope is 1

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Round 76912 to nearest ten thousand

Answers

rounded to the nearest 10000 thousand it is 80000
76,912 to the nearest teen thousand is 78,000

Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

Answers

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
(8)/(3)*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
((8)/(3)*9)*(1)/(4)

, or dividing everything by 4.
((8)/(3)*9)/4

Finally, subtract three.

The final equation would read:
(((8)/(3)*9)*(1)/(4))-3



Using PE(M/D)(A/S), we'd start with (8)/(3)*9

3 and 9 cancel out to be 1 and 3, leaving us with (8)/(1), or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is (24)/(4), which is 6.

Lastly we subtract 3 from six, leaving us 3.

¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3

Further explanation

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Product of eight thirds and nine

(8)/(3) * 9

One-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 )

Three less than one-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 ) - 3

= (1)/(4) * ( (8 * 9)/(3) ) - 3

= (1)/(4) * ( (72)/(3) ) - 3

= (1)/(4) * 24 - 3

= (1 * 24)/(4) - 3

= (24)/(4) - 3

= 6 - 3

= \boxed {3}

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

Write an equivalent expression for n * a using only addition.

Answers

There are two of them:

1).  (n * a) means  n + n + n + n + n + n + n + . . .      'a' times.

2).  (n * a) also means  a + a + a + a + a + a + a + a + . . .     'n' times.

I'LL GIVE YOU BRAINLIEST!!From looking only at the scatterplot, a reasonable prediction is that the temperature at 4 pm will beA) lower than the temperature at 2 pm.
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C) higher than the temperature at 3 pm.
D) the same as the temperature at 3 pm.

Answers

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Step-by-step explanation:

The McCalls insured their house for 90% of it's value. If the house is valued at $84,000, how much is it insured for?

Answers

84000 * 0.90 (equivalent to 90%) = $75600
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After that, you multiply .90 by 84,000 which is $75,600

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Train A arrives at the train station every 30 minutes, and Train B arrives every 40 minutes. Both are at the train station right now. In how many minutes will both be at the train station again?

Answers

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If the trains are both in the station right now, then the next time they'll
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you have.  It's not fair to the helper if he doesn't know the choices.
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