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2 years ago

Find the value of T……

Mathematics

1 answer:

mezya [45]2 years ago

3 0

The correct answer to that question is T = 12

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Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2

SVETLANKA909090 [29]

Answer:

slope = - $\frac{\sqrt{3} }{3}$

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y $\frac{dy}{dx}$ = 0

2y $\frac{dy}{dx}$ = - 2x

$\frac{dy}{dx}$ = - $\frac{2x}{2y}$ = - $\frac{x}{y}$

$\frac{dy}{dx}$ is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2 $\sqrt{3}$ ⇒ y = ± 2 $\sqrt{3}$

using x = - 2, y = - 2 $\sqrt{3}$ , then

$\frac{dy}{dx}$ = - $\frac{1}{\sqrt{3} }$ = - $\frac{\sqrt{3} }{3}$

3 0

3 years ago

Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?

pashok25 [27]

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

$\\ \ast\bull\rm\longmapsto H^2=P^2+B^2$

$\\ \ast\bull\rm\longmapsto H^2=3^2+4^2$

$\\ \ast\bull\rm\longmapsto H^2=9+16$

$\\ \ast\bull\rm\longmapsto H^2=25$

$\\ \ast\bull\rm\longmapsto H=\sqrt{25}$

$\\ \ast\bull\rm\longmapsto H=5$

Some other triplets are

(6,8,10)
(5,12,13)
(8,15,17)

6 0

2 years ago

The point F(5, 5) is translated 7 units left.

QveST [7]

5 - 7 = -2. Therefore, the answer is (-2, 5).

6 0

3 years ago

A solar collector is 2,0 m long by 1,5 m wide. It is held in place

icang [17]

Answer:

The width of the frame is 0.0746 meters

Step-by-step explanation:

We are told that after the frame has been attached to the solar collector, the area that is left exposed is $2.5m^2$ . As we see in the figure, the dimensions of this area are

$(w-2x)$ and $(l-2x)$

where $x$ is the width of the frame.

The product of these dimensions must equal the exposed area:

$(w-2x)(l-2x)=2.5m^2$

Now since $w=1.5m$ and $l=2m$ we have:

$(1.5-2x)(2-2x)=2.5$

we expand this and solve for x using the quadratic formula:

$4x^2-7x+3=2.5$

$4x^2-7x+0.5=0$

we get two solutions:

$x=1.6753$

$x=0.0746$

We take the second solution i.e $x=0.0746$ , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.

Thus the width of the frame is 0.0746 meters.

7 0

3 years ago

What is the product please

Triss [41]

Answer:

180

Step-by-step explanation:

Using the order of operations, we start with the equation in parentheses. This equals 15. Now we multiply 12*15 to get the answer. Doing the math, we get 180.

Good luck!

5 0

1 year ago

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