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Nastasia [14]
3 years ago
14

The straight line 2x + 3y = 7 meets the curve

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Step-by-step explanation:

xy + 10 = 0. => y = -10/x.

2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.

When -10/x = -2/3 x + 7/3,

-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.

=> 2x² - 7x - 30 = 0

=> (2x + 5)(x - 6) = 0

=> x = -2.5 or x = 6.

dy/dx = d/dx [-10/x] = 10/x².

When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.

When x = 6, dy/dx = 10 / (6)² = 5/18.

Hence the gradients at the points are 1.6 and 5/18.

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What's the square root of 25 in **simplest radical form**
den301095 [7]

Answer:

5

Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

6 0
2 years ago
Match the information on the left with the appropriate equation on the right.
solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

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2). Equation of a line having slope 'm' and passing through a point (x', y') is,

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

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The the equation of the line will be,

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3). Equation of a line passing through two points (x_1, y_1) and (x_2,y_2) will be,

y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)

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2 years ago
A rectangle has a perimeter of 4848 feet and a length of 1414 feet. Which equation can you solve to find the width?
yawa3891 [41]
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Answer:

(9.5k + 12.7m -0.4n) cm

Step-by-step explanation:

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Answer:

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