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dezoksy [38]
3 years ago
5

-- ਨੂੰ What is the answer

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0
What does that even mean??
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3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
Wat is x in 1/3x - 11 = 5
kirza4 [7]

=48

Multiply by 1

Add 1 1 11 11

to both sides of the equation

6 0
3 years ago
Read 2 more answers
A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t
QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0
3 years ago
Choose which line represents the line of best fit.
Lynna [10]

A line which represents the line of best fit is: C. Line B.

<h3>What is a line of best fit?</h3>

A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

<h3>The characteristics of a line of best fit.</h3>

In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

  • The line should be very close to the data points as much as possible.
  • The number of data points that are above the line should be equal to the number of data points that are below the line.

By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.

Read more on line of best fit here: brainly.com/question/12284501

#SPJ1

4 0
1 year ago
the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is
snow_lady [41]
A solid line, because each lunch cost the same, and the price does not differ from lunch to lunch. So, 100 - 4 = 96  |  96 - 4 = 92, etc.
8 0
3 years ago
Read 2 more answers
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