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erma4kov [3.2K]
3 years ago
5

The distance between P and T on the coordinate grid is

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

d = 25

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point P(-10, 15)

Point T(15, 15)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute {DF]:                    d = \sqrt{(15+10)^2+(15-15)^2}
  2. Add/Subtract:                       d = \sqrt{(25)^2+(0)^2}
  3. Exponents:                           d = \sqrt{(25)^2}
  4. Evaluate:                              d = 25
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Answer: D.

This is tricky.

Think of the equation as an equation for a line

where in this case.      

C=5/9(f-32)

or

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You can see the slope of the graph is 5/9  which means that for an increase of 1 degree Fahrenheit, the increase is 5/9.

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c=5/9(1)=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 Degrees Fahrenheit

c=5/9(f)

1=5/9(f)

f=9/5

Since 9/5=1.8 Statement 2, is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

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not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

I hope this helped x

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