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2 years ago

Select the correct answer.

Mathematics

1 answer:

vitfil [10]2 years ago

6 0

Is there an image i don’t understand what expressions you’re asking for?

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The basketball team has 48 minutes to win a game. They are on offense 18

lbvjy [14]

Answer:

12 times

Step-by-step explanation:

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2 years ago

HELP ME ASAP PLEASE

vfiekz [6]

Answer:

144.44

Step-by-step explanation:

C = 2 x π x r . C = 2 x 3.14 x 23 = 144.44

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3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

Solve 76+45+98+76-7=

Olin [163]

Answer:

288

Step-by-step explanation:

76+45=121

121+98=219

219+76=295

295-7=288

7 0

2 years ago

Read 2 more answers

Which of the following statements is equivalent to 10x – 30?

Sergeeva-Olga [200]

Answer:

10(x-3)

Step-by-step explanation:

3 0

2 years ago