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Jlenok [28]
3 years ago
14

Find the value of the expression (-101)+102+(-103)+104+...+(-199)+200.

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Examine the series in consecutive pairs.

-101 + 102 = 1

-103 + 104 = 1

-199 + 200 = 1

The second number of the pairs go from 102 to 200 so there are (200 -102) / 2 + 1 = 49 + 1 = 50 pairs

Answer = the value is 1 * 50 = 50

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Write the equation of the line which passes through (1, 2) and with slope of −1/3
Sati [7]

Answer:

<h2>          x + 3y = 7            </h2>

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            

8 0
3 years ago
What is another word for translation?<br> A.flip<br> B.turn<br> C.slide<br> D.fall
stiv31 [10]
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7 0
3 years ago
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Which techniques can be used to evaluate the expression 12.75/<br><br> 1.5
sergeinik [125]

Answer:

8.5

Step-by-step explanation:

Given the expression 12.75/1.5. The technique in solving the division expression is as shown

First we can write the decimals as fraction as shown;

12.75 = 1275/100

1.5 = 15/10

12.75/1.5 = (1275/100)÷(15/10)

12.75/1.5 = 1275/100×10/15

12.75/1.5 = 1275/10 × 1/15

12.75/1.5 = 1275/150

12.75/1.5 = 8.5

Hence the result of the division is 8.5

6 0
3 years ago
Here is a easy question :- if -25/5 x p/q =1 , then p/q is equal to ?
bazaltina [42]

Answer:

p/q = -5/25

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3 0
3 years ago
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NEED HELP ASAPPPPP!!!!!
belka [17]

Answer:

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