I need help with both of these if you know any of them them helppp me pls will give 20 points

Mathematics

1 answer:

Aliun [14]3 years ago

4 0

Answer:

1) B. similar

2) D. (4, 2)

Step-by-step explanation:

When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.

B: (4, -2)

Reflection across the x-axis:

(x, y) → (x, -y)

(4, -2) → (x, -y)

(4, 2)

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1 Hector puts a fence around his rectangular

prisoha [69]

Answer:

48 feet of fence

Step-by-step explanation:

A rectangle has 4 sides, the parallel sides are equal to each other in length.

If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.

If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.

Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20If%20%7D%20%5Cln%20%28x%2By%29%3D4%20%5Cti

Art [367]

I think you meant to say

$\ln(x+y) = 4xy$

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.

Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives

$\dfrac{1+\frac{dy}{dx}}{x+y} = 4y + 4x\dfrac{dy}{dx}$

$\implies \dfrac{dy}{dx} = \dfrac{4xy+4y^2-1}{1-4x^2-4xy}$

Note that when x = 0 and y = 1, we have dy/dx = 3.

Differentiate both sides again with respect to x :

$\dfrac{d^2y}{dx^2} = \dfrac{(1-4x^2-4xy)\left(4y+4x\frac{dy}{dx}+8y\frac{dy}{dx}\right)-(4xy+4y^2-1)\left(-8x-4y-4x\frac{dy}{dx}\right)}{(1-4x^2-4xy)^2}$