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2 years ago

6

Mary bought 3 shirts. The price of each shirt was $20.53. How much did the 3 shirt cost? This is 23 point question please I need

help

1 answer:

Olenka [21]2 years ago

4 0

Answer:

$61.59

Step-by-step explanation:

1 shirt = $20.53

3 shirts x $20.53 = $61.59

to check:

$61.59 ÷ 3 shirts = $20.53 each

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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:

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

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

$A = 4$

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3 years ago

Simplify 12 + -24 ÷ -6 * 2<br> Show stack method

Ierofanga [76]

Answer:

4

Step-by-step explanation:

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3 years ago

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X-y=3<br> X+2y=-6<br> Solve using substitution

Tresset [83]

X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
3y=-6-3
3y=-9
y=-3

X+2y=-6
X+2(-3)=-6
X-6=-6
X=0

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3 years ago

Im so lost, please help me asap

almond37 [142]

Answer:

it's so simple ....

x + 141 = 135

x = 135 - 141

x = -6

it means ur answer is a

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3 years ago

Help with #7 please I don’t understand

quester [9]

Answer:

A

Step-by-step explanation:

(2x^2 + 3x - 4) (x + 4)

FOIL.

2x^2 times x = 2x^3

3x times x is 3x^2

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3x times 4 = 12 x

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Combine like terms to get 2x^3 + 11x^2 + 8x - 16.

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3 years ago

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