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4 years ago

Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.

Mathematics

1 answer:

8090 [49]4 years ago

7 0

Answer:

- 2x + y = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

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In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and

zhannawk [14.2K]

Answer:

b. 3

Step-by-step explanation:

Here, n players score 2 points and m players score 5 points,

So, total scores = 2n + 5m,

According to the question,

The total number of points is 50,

⇒ 2n + 5m = 50

Since, n and m can be any positive integers including 0 ( because number of players can not be negative or in fraction )

Also, for the positive integer value of m, n must be the multiple of 5 less than or equal to 25,

Thus, the possible values of m and n are,

(5,8), (10, 6), (15, 4), (25,0),

Since, 8-5 < 10-6 < 15-4 < 25-0

Hence, the least possible positive difference between n and m is 3.

Option 'b' is correct.

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3 years ago

Please answer this correctly

GREYUIT [131]

Answer:

$8.82

Step-by-step explanation:

4.6 (1.15) + 0.5 (1.12) + 2.25 (1.32)

5.29 + 0.56 + 2.97

8.82

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3 years ago

Investments historically have doubled every 9 years. if you start with 2,000 investment, how much money would you have after 45

77julia77 [94]

Answer: 64,000

Equation: 2,000*2^(45/9)

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3 years ago

Find the x- and y- intercepts of parabola y=5x^2-16x+10

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Y-INTERCEPT

$y = 5x^2 - 16x + 10$

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

$\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10$

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

$y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0$

We need to use the quadratic formula

The quadratic formula helps us find what values of $x$ make the equation = 0

Quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\$

The x-intercepts are at:

$(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)$

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2 years ago

Which must be true?

Eva8 [605]

Answer:

PSC=PTC

They are the same angle

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3 years ago