3 years ago

Acellus equations of lines

Mathematics

1 answer:

jarptica [38.1K]3 years ago

6 0

Answer:

y=1/4x-2

Step-by-step explanation:

formula

y=mx+b

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How much greater is the sum of the first 100 triangular numbers than the sum of the first 99 triangular numbers? Answer: It is b

sergiy2304 [10]

Answer:

First, a triangular number can be written as:

Tₙ = (n^2 + n)/2

where n is the number of our triangular number, n = 1 represents the first one, n = 2 represents the second one, etc.

The sum of the first 100 triangular numbers is:

S1 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀)

The sum of the first 99 triangular numbers is:

S2 = (T₁ + T₂ + ... + T₉₉)

Then the difference will be:

D = S1 - S2 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀) - (T₁ + T₂ + ... + T₉₉) = T₁₀₀

And we can find the value of T₁₀₀ if we use the equation for triangular numbers:

T₁₀₀ = (100^2 + 100)/2 = 5,050

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4 years ago

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kumpel [21]

650+($75•15)

1500-650=950

950/75=12

12 players can attend

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2 years ago

Jackson ordered 4 submarine sandwiches for a lunch party. each sandwich

IRINA_888 [86]

When 4 sandwiches are cut into thirds, it makes 12 pieces. 8 pieces were eaten. 12-8=4. 4/3 or 1 1/3 of a sandwich is left.

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What is the value of the function y=3x−1 when x=−1 ? −8 −4 2 6

Paraphin [41]

Substitute x for -1 in y=3x-1
y = (3) (-1) -1
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y = (3) (-1) -1
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levacccp [35]

A line contains the points (82,−96) and (87,−86)

To find slope of a line we use formula

We are given with two points (x1,y1) and (x2,y2)

x1= 82, y1=-96, x2=87, y2=-86

plug in all the values in the formula

$slope =\frac{ (y_2-y_1)}{x_2 - x_1}$

$slope =\frac{ (-86-(-96))}{87-82}$

$slope =\frac{ (10)}{5}=2$

Slope of the line = 2

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3 years ago

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