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3 years ago

Using a suitable identity solve the following (7a-9b)(7a-9b)

Mathematics

1 answer:

yuradex [85]3 years ago

4 0

Answer:

49a^2 - 126ab + 81 ^2

Step-by-step explanation:

Suitable identity = (a-b)(a-b) = a^2 - 2ab + b^2

So, to solve this.

(7a-9b)(7a-9b) = 49a^2 - 126ab + 81b^2

Hope this helps

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s344n2d4d5 [400]

3x = 1,116

x = 1,116 / 3

x = 372

372 legs, so total goats is 372 / 4 = 93 total goats

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3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu

hram777 [196]

Answer:

Step-by-step explanation:

uv =5

wv=6

wu = (5²+6²)½

wu = 7.8 approximate 8

perimeter = 6+5+8 = 19

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3 years ago

What is a dilation and translation

nydimaria [60]

Dial action is making a shape a smaller size but the same shape.
Translation is when you move a shape along the x or y axis’s or both axis’s.

5 0

3 years ago

Need help with AP CAL

anzhelika [568]

Answer: Choice C

$\displaystyle \frac{1}{2}\left(1 - \frac{1}{e^2}\right)$

============================================================

Explanation:

The graph is shown below. The base of the 3D solid is the blue region. It spans from x = 0 to x = 1. It's also above the x axis, and below the curve $y = e^{-x}$

Think of the blue region as the floor of this weirdly shaped 3D room.

We're told that the cross sections are perpendicular to the x axis and each cross section is a square. The side length of each square is $e^{-x}$ where 0 < x < 1

Let's compute the area of each general cross section.

$\text{area} = (\text{side})^2\\\\\text{area} = (e^{-x})^2\\\\\text{area} = e^{-2x}\\\\$

We'll be integrating infinitely many of these infinitely thin square slabs to find the volume of the 3D shape. Think of it like stacking concrete blocks together, except the blocks are side by side (instead of on top of each other). Or you can think of it like a row of square books of varying sizes. The books are very very thin.

This is what we want to compute

$\displaystyle \int_{0}^{1}e^{-2x}dx\\\\$

Apply a u-substitution

u = -2x

du/dx = -2

du = -2dx

dx = du/(-2)

dx = -0.5du

Also, don't forget to change the limits of integration

If x = 0, then u = -2x = -2(0) = 0
If x = 1, then u = -2x = -2(1) = -2

This means,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \int_{0}^{-2}e^{u}(-0.5du) = 0.5\int_{-2}^{0}e^{u}du\\\\\\$

I used the rule that $\displaystyle \int_{a}^{b}f(x)dx = -\int_{b}^{a}f(x)dx$ which says swapping the limits of integration will have us swap the sign out front.

--------

Furthermore,

$\displaystyle 0.5\int_{-2}^{0}e^{u}du = \frac{1}{2}\left[e^u+C\right]_{-2}^{0}\\\\\\= \frac{1}{2}\left[(e^0+C)-(e^{-2}+C)\right]\\\\\\= \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

In short,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

This points us to choice C as the final answer.

5 0

2 years ago

Division A reports the following data: Sales = $180,000, Net income = $18,000, Average'assets

Karolina [17]

Company A is operating more efficiently

Step-by-step explanation:

Given parameters:

Division A:

Sales = $180,000

Net income = $18,000

Average assets = $72,000

Division B:

Sales = $60,000

Net income = $9,600

Average assets = $48,000

Unknown:

Division operating more efficiently = ?

Solution:

Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.

The net income is the profit derived from sales of a company's products.

The higher the value the more efficient a company is.

Efficiency = $\frac{net income}{Average assets}$ x 100

Efficiency of division A = $\frac{18000}{72000}$ x 100 = 25%

Efficiency of division B = $\frac{9600}{48000}$ x 100 = 20%

Division A has a higher efficiency compared to B

Learn more:

Economic goals brainly.com/question/8951463

#learnwithBrainly

3 0

3 years ago