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3 years ago

Which expression is equivalent to 3(6m) + m? A. 19m B. 21m C. 7m + 3 D. 18m + 6m²

Mathematics

2 answers:

vlada-n [284]3 years ago

8 0

19m because 6 times 3 is 18. Plus 1 is 19

Lelechka [254]3 years ago

5 0

Answer:

3(6m)+m=18m+m=19m so your answer would be A. 19m

Step-by-step explanation:

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What lowest terms 19/31

jonny [76]

The lowest terms for 19/31 would be 1

7 0

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

Help as soon as possible please

marta [7]

(3x + 5)° + (10x - 7)° = 180°

13x + (-2) = 180

13x = 180 + 2

13x = 182

x = 14

∠QRT = 3 * 14 + 5 = 42 + 5 = 47°

∠TRS = 10 * 14 - 7 = 140 - 7 = 133°

6 0

3 years ago

?.?.?.?.??.?..?.?.???..?..?

Mice21 [21]

Answer:

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

6 0

2 years ago

Examine the division problem

11111nata11111 [884]

Answer:

-9/2 (4/3)

-6

Step-by-step explanation:

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2 years ago

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