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grin007 [14]
3 years ago
10

1.Identify and EXPLAIN the ERROR

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

1) The error occurred when you moved the decimal place one spot to the left without changing the exponent of 10 to go along with it.

Not changing the exponent will change the entire value of the answer.  By changing 10.35 to 1.035, we made our answer 10 times smaller, so in order to compensate for that, we need to make 10^10 ten times bigger by changing it to 10^11.

2) 10.35 x 10^10 gets changed to:

1.035 x 10^11


3) The strategy we used is to apply proper scientific notation to our answer.  We should recognize when we drastically change the value of our original answer.

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Write the equation of the line that is perpendicular to the line 8y−16=5x through the point (5,-5).
disa [49]

Answer:

y = -(8/5)x + 3

Step-by-step explanation:

Step 1:  Rewrite the given equation into slope-intercept form by solving for y

8y−16=5x

 

   8y = 5x + 16

 

      y = (5/8)x + 2

Perpendicular lines have slopes that are opposite reciprocals of each other.  That means you take the slope, flip the fraction, and change the sign.

Here our given line is y = (5/8)x + 2 so the slope 5/8

The opposite reciprocal of 5/8 is -8/5

We set up the equation

y = -(8/5)x + b      

  we are given a point (x, y) of (5, -5), so plug that in and solve for b

-5 = -(8/5)(5) + b

    -5 = -8 + b

     3 = b  

So our equations is  y = -(8/5)x + 3

4 0
3 years ago
[HELP] Are the diagonals of an isosceles trapezoid congruent?
erastovalidia [21]
Yes.

the properties of an isosceles trapezoid are:
- the bases are parallel 
- opposite sides are congruent
- the angles on either side of the bases are congruent
- the diagonals are congruent
3 0
3 years ago
Pythagorean Theorem and its Converse <br><br> I need number 6
Black_prince [1.1K]

Answer:

x = 14.02 units

Step-by-step explanation:

Finding unknown value using Pythagorean theorem:

 This is an isosceles trapezium.  The two perpendiculars  divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.      

In ΔABC,

                AC² = AB² + BC²

                   19² = 17 ² + y ²

                 361  = 289 + y ²

        361 - 289  = y ²

                      y ² = 72

                      y =√72

                      y = 8.49

x = 31 - 8.49 - 8.49

x = 14.02

6 0
2 years ago
Each cable car at an amusement park can hold six Riders. There are 51 people in line to ride the cable cars. How many cable cars
laila [671]

Answer:

9 cable cars

Step-by-step explanation:

51 ÷ 6 = 8.5

8.5 rounds up to 9

Answer:

3

Step by step explanation:

54 ÷ 6 = 9

5 0
3 years ago
Using order of operations solve the equation 2+6/2x3
MatroZZZ [7]
The answer is 3. 2x3=6, 6/6=1, 2+1=3
6 0
3 years ago
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