In △ABC, angle C is a right angle and BC > AC. Select all the statements that are true.

Mathematics

2 answers:

lora16 [44]3 years ago

7 0

Answer:

thought i could help sorry i cant

Step-by-step explanation:

notka56 [123]3 years ago

7 0

They all true about ABC

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Finding an Equation of a Tangent Line In Exercise, use implicit differentiation to find an equation of the tangent line to the g

Karo-lina-s [1.5K]

Answer:

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

Step-by-step explanation:

Equation of tangent line of given function at (e,1) is found by implicitly differentiating the given function w.r.to x

$y^{2}+ln(xy)=2\\\\y^{2}+ln(x)+ln(y)=2\\\\\frac{d}{dx}(y^{2}+ln(x)+ln(y))=\frac{d}{dx}(2)\\\\2y\frac{dy}{dx}+\frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=0\\\\\frac{dy}{dx}(2y+\frac{1}{y})=-\frac{1}{x}\\\\\frac{dy}{dx}=-\frac{y}{x(2y^{2}+1)}\\\\at (e,1)\\\\\frac{dy}{dx}=-\frac{1}{e(2+1)}\\\\\frac{dy}{dx}=\frac{1}{3e}$

Equation of tangent line is

y-y₁=m(x-x₁)

at (e,1)

$y-1=-\frac{1}{3e}(x-e)\\\\y=1-\frac{1}{3e}(x-e)\\\\y=1+\frac{1}{3}-\frac{x}{3e}\\\\y=\frac{4}{3}-\frac{x}{3e}\\$

6 0

4 years ago

Equation<br> Number of Solutions<br> 6(2.1 + 1) - 2 = 12.1 + 4<br> How many solutions does it have?

jek_recluse [69]

Infinite solutions!!!!

7 0

3 years ago

H(x) = x4+ 2x3- 10x2 -18x+9

vichka [17]

Let's group the cubic function: $h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1)$ .

The first two roots are $\pm3$ however to find the last two roots we need to solve the square equation:

$x^2+2x-1=0
\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8$ . Now we know the discriminator, using the discriminator we're able to find the roots of the equation: $x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}$ . The roots of the square equation are $x_{1}=-1-\sqrt{2}$ and $x_{2}=\sqrt{2}-1$ .

The roots of the cubic function are $\pm3$ , $-1-\sqrt{2}$ and $\sqrt{2}-1$ .