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ser-zykov [4K]
3 years ago
13

PLEASE HELP ME!!!!! What is the equation of the line that passes through the points (−2, 3) and (2, 7)? (5 points) a. x − y = −1

b. x − y = −2 c. x − y = − 5 d. x − y = − 6

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

Answer:

The expression for a line that passes throug the points (-2;3) and (2;7) is:

x - y = -5

Option C

Step-by-step explanation:

The expression for a line that passes through 2 differents points can be obtained by the following formula:

y - yo = m(x-xo)

The coordinate of the point Po(xo,yo) can be either of the given points. The value of m is calculated like:

m = (y2-y1)/(x2-x1)

Where x2 and y2 are the coordinates for the point P2 and x1 and y1 the  coordinates for the point P1. Assuming P1(-2;3) and P2(2;7), the value of m results:

m = (7-3)/(2-(-2)) = 4/4 = 1

Replacing m and the coordinates of P1 as the coordinates of Po, in the expression for the line we obtain:

y - 3 = (1)(x - (-2))

y - 3 = (1)(x+2)

y  = x + 2+ 3  

y = x + 5

-5 = x - y

x - y = -5

Hunter-Best [27]3 years ago
3 0
I hope that this helps!

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Answer:

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Step-by-step explanation:

Let

Number of dimes = d

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Total coins = 147

Total value = $11.65

d + n = 147 (1)

0.10d + 0.05n = 11.65 (2)

From (1)

d = 147 - n

Substitute d = 147 - n into

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-0.05n = -3.05

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d = 86

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oksano4ka [1.4K]

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Step-by-step explanation:

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ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12.
Naily [24]

Answer:

Explained below.

Step-by-step explanation:

(11)

Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).

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Thus, the final expression is (-11x + y - 12z).

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From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).

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Thus, the final expression is (7x² - y² - x + y + 5).

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What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?

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Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).

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Thus, the expression is (x² - 6y² + 3xy).

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Alenkasestr [34]

The Poisson distribution with a mean of 6.0 is an appropriate model.

<h3>What is mean?</h3>
  • In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
  • It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
  • There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
  • Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.

Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.

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