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lawyer [7]
3 years ago
7

Select the correct answer.

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = \frac{y_2-y_1}{x_2-x_1}

                           = \frac{3-1}{-2+3}

                       m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

               = \frac{4-1}{-1-0}

               = -3

Here 'b' = 1

Therefore, equation of the line will be,

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

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = -\frac{6}{5}

x = -1\frac{1}{5}

From equation (1),

y = 2x + 7

y = -\frac{12}{5}+7

  = \frac{-12+35}{5}

  = \frac{23}{5}

  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

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Sindrei [870]

Answer:

A. square root of 3 times 5

Step-by-step explanation:

4 0
3 years ago
The first row of a theater has 16 seats. There are 3 more seats in each row thereafter. How many seats are in the 25th row/
inessss [21]

Answer: 88

Step-by-step explanation:

Given

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8 0
3 years ago
Micheal runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?
ANEK [815]
Micheal's rate is 7 miles per 80 minutes, which can be written as a fraction:
7/80, which equals 0.0875.
Now you can say that Micheal runs 0.0875 miles per one minute.
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3 years ago
josan and andrea are on a long distance bike ride. they decide they will stop for water if either of thier water bottles is less
nevsk [136]
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3 years ago
36÷(1-|2-7|)<br>what's the answer?work​
KengaRu [80]

Answer:

-9

Step-by-step explanation:

36 ÷ (1 - |2 - 7|) =

Start with the calculation inside the absolute value.

= 36 ÷ (1 - |-5|)

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Do the operation inside the parentheses, 1 - 5 = -4.

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Finally divide. Remember that positive divided by negative is negative.

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3 0
3 years ago
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