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3 years ago

7

In the formula a2 + b2 = c2, what is the value of a2?

2 answers:

r-ruslan [8.4K]3 years ago

6 0

A^2 + b^2 = c^2 Moving b^2 to RHS a^2 = c^2 - b^2

eimsori [14]3 years ago

4 0

$a^2+b^2=c^2\ \ \ \ |subtract\ b^2\ from\ both\ sides\\\\a^2=c^2-b^2\\\\\boxed{a=\sqrt{c^2-b^2}}$

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Write the equation

Shkiper50 [21]

$a)\ the\ slope-intercept\ form:\ y=mx+b\\--------------------------\\m=\frac{2}{3}\Rightarrow y=\frac{2}{3}x+b\\\\the\ point\ (-3;\ 6)\Rightarrow \frac{2}{3}\times(-3)+b=6\\\\-2+b=6\ \ \ \ \ |add\ 2\ to\ both\ sides\\\\b=8\\\\\boxed{y=\frac{2}{3}x+8}$

$b)\ the\ two-points\ formula:y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\-----------------------------\\the\ points:\ (3;-1);\ (5;\ 7)\\\\y-(-1)=\frac{7-(-1)}{5-3}(x-3)\\\\y+1=\frac{7+1}{2}(x-3)\\\\y+1=\frac{8}{2}(x-3)\\\\y+1=4(x-3)\\\\y+1=4x-12\ \ \ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{y=4x-13}$

3 0

3 years ago

Read 2 more answers

Use Lagrange multipliers to find the maximum and minimum values of

marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

5 0

3 years ago

Pls help me understand.

maw [93]

Answer:

19 %

Step-by-step explanation:

380 : 2000 = 0.19

0.19 X 100%= 19 %

6 0

3 years ago

Can someone plssss helpp me with this!!! and show the work!

hichkok12 [17]

Answer:

1/2

Step-by-step explanation:

8(1/2)^4

= 8 * 1 / 2^4

= 8/(2*2*2*2)

= 8/16

= (8*1) / (8*2)

= 1/2

5 0

3 years ago

Which expression is in simplest form?

mixas84 [53]

Answer:

The answer is simply A. (3 cube root 8)

Step-by-step explanation:

This is the solution because the cube root of 8 makes 2. All of the other options give a decimal/unsimplified number...

Hope this helps! :)

6 0

3 years ago