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Law Incorporation [45]
3 years ago
15

3. What are the intersection points of the line whose equation is y=3x +3 and the

Mathematics
1 answer:
densk [106]3 years ago
6 0

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).

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(Give Brainliest)need ASAP
cupoosta [38]

Answer:

the answer is 1/2

Step-by-step explanation:

Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps

3 0
3 years ago
The median-median line for a dataset is y = 1.133x + 0.731
Feliz [49]

Answer:

The median-median line is a better prediction.

Step-by-step explanation:

Both lines predict a value for x=50 that is less than 60. The median-median line value is closer to 60, so could be considered a better prediction.

3 0
3 years ago
What is 10 and 2/3 divided by 8?
postnew [5]
10 and 2/3 = 32/3
32/3 x 8 = 256/3
256/3 = 85.33333333333 repeating

4 0
3 years ago
How do you do this question?
katovenus [111]
<h3>4 Answers: A, C, E, and F</h3>

================================================

Explanation:

Choice A is true assuming we have a_n = (-1)^n*b_n

In this case, a_n = (-1)^n*\frac{1}{\sqrt{n}} and b_n = \frac{1}{\sqrt{n}}

--------

Choice B is false. See choice A above.

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Choice C is true. The sequence \{b_n\} is decreasing. As n gets larger, b_n gets smaller. This is because the denominator is growing larger with the numerator held constant.

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Choice D is false. This contradicts choice C.

--------

Choice E is true since the denominator is growing forever

This is similar to  \displaystyle \lim_{n \to \infty} \frac{1}{n} = 0

--------

Choice F is true due to choices C and E being true.  

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Choice G is false because it contradicts choice F.

8 0
3 years ago
A fish was swimming 2 ½ feet below the water's surface at 1:00 pm. Three hours later, the fish was at a depth that is 3 ¼ feet b
IgorC [24]

Answer:

The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm

Step-by-step explanation:

Here, we want to find a rational number that represents the position of the Fish at 4pm

Initially it was at a depth of 2 1/2 ft below the water surface

At 4pm, it went 3 1/4 ft further

Thus, its position with respect to the water surface at 4 pm will be;

2 1/2 + 3 1/4

= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft

6 0
3 years ago
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