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2 years ago

4×9×8^-1×3^-3/6^-1 .Ans is 1 but I want the method.

Mathematics

2 answers:

lana66690 [7]2 years ago

5 0

Answer:

Hi, Hope this will help :-)

podryga [215]2 years ago

5 0

Answer:

Step-by-step explanation:

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Match the graph with its equation.

hram777 [196]

The equation to this is A 5X+4Y=-20

5 0

2 years ago

What is the equation of the line that passes through the point (2, -1) and has a<br> slope of 3/2?

qaws [65]

Answer:

pic below! i hope this helps! :)

Step-by-step explanation:

$y=\frac{3}{2}x-4$

6 0

2 years ago

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

5 0

2 years ago

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If

forsale [732]

<h3>Answer:</h3>

133 ft

<h3>Step-by-step explanation:</h3>

Given in the question,

length of the rectangle = 31 ft

width of the rectangle= 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

<h3>Formula to use:</h3>

perimeter of rectangle + perimeter of semicircle

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

<h3>Plug values in the formula above</h3>

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

8 0

2 years ago

Please help! <br><br> If f (x) = 1/9 x-2 what is f^-1(x)

saw5 [17]

Answer:

Its C or the 3rd option

(9x+2)

Step-by-step explanation:

You have to inverse the equation meaning do everything the opposite so for example, add the 2 to the other side of the equation

4 0

2 years ago

4×9×8^-1×3^-3/6^-1 .Ans is 1 but I want the method.​

4×9×8^-1×3^-3/6^-1 .Ans is 1 but I want the method.