Ask question

Ask question

All categories

3 years ago

9

The rule is applied to ΔFGH to produce ΔF"G"H".

1 answer:

Andreas93 [3]3 years ago

7 0

Answer:

(4, –1.5)

Step-by-step explanation:

You might be interested in

Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .

Ad libitum [116K]

Answer: 144

Step-by-step explanation:

The binomial is $\left( 4x+3y\right)^3$

The expansion of $\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots$

Expansion of $\left( 4x+3y\right)^3$

$\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3$

So, the second term is

$\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1$

Its Coefficient is

$\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144$

6 0

3 years ago

Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $

torisob [31]

Answer: the initial deposit is $162.1

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

r = 7% = 7/100 = 0.07

t = 3 years

A= $200

Therefore,

200 = P x 2.7183^(0.07 x 3)

200 = P x 1.234

P = 200/1.234

P = $162.1 to the nearest cent

7 0

4 years ago

I need help please please

Lerok [7]

Answer:

Try letter c

6 0

3 years ago

Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne

sp2606 [1]

Answer:

$Max = 15$

Step-by-step explanation:

Given

$s(y) = -2y^2 + 60y + 10$

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

$s(y) = ay^2 + by + c$

And the maximum is calculated as:

$Max = \frac{-b}{2a}$ If a<0

Comparing $s(y) = ay^2 + by + c$ to $s(y) = -2y^2 + 60y + 10$

We have that:

$a = -2$ $b = 60$ $c = 10$

Substitute these values to

$Max = \frac{-b}{2a}$

$Max = \frac{-60}{2 * -2}$

$Max = \frac{-60}{-4}$

$Max = 15$

<em>The number of item that maximizes the function is when y = 15</em>

7 0

3 years ago

(6.1, 3.9) and (4.2,8.1) Estimate the midpoint of the points.

faust18 [17]

Answer:

a

Step-by-step explanation:

$(\frac{x1+x2}{2} , \frac{y1+y2}{2} )$

3 0

3 years ago