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3 years ago

A triangle that has exactly 2 sides of the same length is a

Mathematics

1 answer:

den301095 [7]3 years ago

8 0

Answer:

... an <em>isosceles triangle</em>.

Step-by-step explanation:

Triangles classified by side length fall into one of three categories:

scalene - no sides the same length
isosceles - two sides the same length
equilateral - three sides the same length

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Need help plz i show me how to do it plz :)

DaniilM [7]

I’m pretty sure you multiply the sides your you find the formulas for the hight and width

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3 years ago

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Sushilis now 4 times as old as Sunil. 5 years ago Sushilwas 7 times as old as Sunil was then. Find the present ages of each of t

Illusion [34]

Answer:

Sunil = 10 and Sushil= 40

Step-by-step explanation:

Present ages-

Sushil= 4x

Sunil= x

5 years ago-

Sushil = 4x - 5

Sunil = x - 5

4x - 5 = 7(x - 5) = 4x - 5 = 7x - 35

= -5 = 3x - 35

= 30 = 3x

= 10 = x

So substitute the xs for 10-

Present Sushil= 4 x 10 = 40

Present Sunil= 10

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3 years ago

Simplify the product.

Marina86 [1]

(x - 4)(x + 3) = x^2 + 3x - 4x - 12 = x^2 - x - 12

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3 years ago

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suter [353]

P = 2W + 2L

P - 2L = 2W

W = $\frac{P - 2L}{2}$

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3 years ago

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes

ArbitrLikvidat [17]

Complete Question

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for $x = 3$ and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ?

Answer:

The generally expression for the slope of $y = 2x^2 + 4x$ is $y' = 4x +4$

The graph is shown on the first uploaded image

The generally expression for the slope of $y=2x^2+4$ is $y' = 4x$

Step-by-step explanation:

From the question we are told that

The equation of the curve is $y = 2x^2 + 4x$

First we differentiate the equation

$y' = 4x +4$

Therefore the generally expression for the slope tangent to the curve $y=2x^2+4x$ is $y' = 4x +4$

The next step is to substitute for x = 3 and x = 0.5

So for $x_1 = 3$

$y' = 4(3) +4$

$y' =m_1= 16$

And for $x_2 = 0.5$

$y' = 4(0.5) +4$

$y' =m_2= 6$

Here m_1 and m_2 are slops of the curve

Next we obtain the coordinates of the tangent lines

So at $x_1 = 3$

$y_1 = 2(3)^2 + 4(3)$

$y_1 = 21$

So the coordinate for the first tangent line is

$(x_1 , y_1 ) = (3 , 21)$

At $x_2 = 0.5$

$y_2 = 2(0.5)^2 + 4(0.5)$

=> $y_2 = 2.5$

So the coordinate for the second tangent line is

$(x_2 , y_2 ) = (0.5 , 2.5)$

Next we obtain the equation for the tangent lines

So generally the slope is mathematically represented as

$m = \frac{y - y_1 }{x-x_1}$

For $(x_1 , y_1 ) = (-3 , 21)$ and $y' =m_1= 16$

$16 = \frac{y -21 }{x-3)}$

=> $y = 16x - 27$

For $(x_2 , y_2 ) = (0.5 , 2.5)$ and $y' =m_2= 6$

$6 = \frac{y -2.5 }{x-0.5}$

$y = 6x -0.5$

Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating y=2x^2+4 as follows

$y' = 4x$

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3 years ago