Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

5 0

3 years ago

Read 2 more answers

How could you find the area of the pink title? Choose all that apply. <br><br>

DaniilM [7]

By using green to find the pink locate all the ponies

3 0

3 years ago

find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis

antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

$x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0$

Which means that the roots are

$x=0\ \lor\ x=1\ \lor\ x=-2$

Next, we can expand the function definition:

$y = x(x-1)(x+2) = x^3 + x^2 - 2x$

In this form, it is much easier to compute the derivative:

$y' = 3x^2+2x-2$

If we evaluate the derivative in the points of interest, we have

$y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3$

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

$y-y_0=m(x-x_0)$

is what we need. The three lines are:

$y-0=6(x+2) \iff y = 6x+12$ This is the tangent at x = -2

$y-0=-2(x-0) \iff y = -2x$ This is the tangent at x = 0

$y-0=3(x-1) \iff y = 3x-3$ This is the tangent at x = 1

7 0

3 years ago

A || b what’s the value of X?

Anna007 [38]

<h3><u>Answer:</u></h3>

The value of x is 17.

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

<u>We know that the lines are parallel because it is given that:</u>

a ∥ b

<u>Now, let's form an equation.</u>

=> 2x + 5 + 8x + 5 = 180

<u>Let's solve!</u>

=> 10x + 10 = 180
=> 10x = 170
=> x = 17

Hence, the value of x is 17.

$BrainiacUser1357$

4 0

3 years ago