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3 years ago

(4a+3b)(2a-5) expand

Mathematics

2 answers:

denis-greek [22]3 years ago

8 0

Answer:

6ab + 8a² - 15b - 20a

Step-by-step explanation:

Expand by using FOIL method

4(2a-5) + 3b(2a-5)

4a(2a) + 4a × -5 + 3b × -5

Simplify terms

8a² - 20a + 6ba -15b

6ab + 8a² - 15b - 20a

Nina [5.8K]3 years ago

6 0

8a^2-14ab-15b if that’s what you mean

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Find the area of the shape below. 10 cm 27 cm 9 cm 24 cm

valentina_108 [34]

Answer:

657m²

Step-by-step explanation:

use the provided formular and substitute the values

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3 years ago

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What is the 1st quartile? (median of lower half) 240 235 230

postnew [5]

Answer:

lower half

Step-by-step explanation:

The first quartile in this is 230

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3 years ago

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PLEASE HELP ME: Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

3 years ago

If x : 3 = 5 : 7 , then x = ………

Veronika [31]

Answer:

the answer is A which 2(1/7)

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3 years ago

Question

Alik [6]

Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.

The polynomial is;. 3w³ + 22w + 24w = 5440ft³.

From the question;

Let the width = w
length, l = 3w + 4
height, h = w + 6

The volume of a rectangular prism is given by the product of its length, width and height. Thus;

Volume = l × w × h

Therefore, Volume, V = (3w +4) × w × (w +6)

To obtain the required polynomial, we expand the expression for Volume above;

V = (3w² + 4w) × (w + 6)

V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.

However, the volume of the rectangular prism has been given to be 5440 cubic feet.

Therefore, the polynomial is;

3w³ + 22w + 24w = 5440ft³.

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brainly.com/question/9740998

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2 years ago

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