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3 years ago

12

28cm, 62cm, 75cm is this a right triangle

1 answer:

never [62]3 years ago

7 0

Answer:No

Step-by-step explanation:

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Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

6 0

3 years ago

Please answer,it has to be done in the next 20 minutes its my homework and i forgot to do it.

Bingel [31]

Answer:

g = -2/3

Step-by-step explanation:

-g + 6 +2g = -4g - (-4)

g + 6 = -4g + 4

3g =-2

g = -2/3

3 0

3 years ago

Two friends shop for fresh fruit. Elena buys a watermelon for $7.45 and 3 pounds ofcherries. Taniy buys a pineapple for $3.35 an

Scrat [10]

Let's use the variable E to represent the total value spent by Elena and T to represent the total value spent by Taniy.

If Elena spent $7.45 plus the cost of 3 pounds of cherries, the expression for the amount she spent is:

$E=7.45+3p$

Taniy spent $3.35 plus the cost of 2 pounds of cherries, so the expression for the amount the spent is:

$T=3.35+2p$

To find how much more Elena spent, let's subtract both expressions:

$\begin{gathered} E-T\\ \\ =7.45+3p-(3.35+2p)\\ \\ =7.45+3p-3.35-2p\\ \\ =4.1+p \end{gathered}$

Therefore the answer is 4.1 + p.

3 0

1 year ago

Use the rule n ÷ 4, where n represents the position of a term in a sequence. Find the first four terms in the sequence.

Ne4ueva [31]

Answer:

a1 = 1/4

a2 = 1/2

a3 = 3/4

a4 = 1

Step-by-step explanation:

an = a/n

then when a= 1, 2, 3, 4

a1 = 1/4

a2 = 2/4 = 1/2

a3 = 3/4

a4 = 4/4 = 1

8 0

4 years ago

Someone help me asap

GenaCL600 [577]

Answer:

44 cents

Step-by-step explanation:

a unit price is how much something costs per one

if it costs 4 dollars for 9, we can do 4/9 to find the unit price

4/9=.4444444....

this to the nearest hundredth is .44 or 44 cents

3 0

3 years ago

Read 2 more answers