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amm1812
3 years ago
10

What is (a+b)(a-b) equal

Mathematics
2 answers:
Alja [10]3 years ago
5 0

Answer:a squared-b squared

Step-by-step explanation:

ryzh [129]3 years ago
5 0

Answer:

(a+b)(a-b)=a^{2} -b^{2}

Step-by-step explanation:

This is a example of <em>remarkable identities</em>.

We know that the result of multiplication is called product and the values ​​that multiply are called factors.

We call <em>remarkable identities </em>to certain algebraic expressions with binomial products very frequent in the calculation.

For this example, we got a <em>Product of the sum for the difference of two binomials</em>.

(a+b)(a-b)

The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.

(a+b)(a-b)=a^{2} -b^{2}

Demostration:

(a+b)(a-b)= a^{2} -ab+ab-b^{2}=a^{2} -b^{2}

.

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Can anyone pls help me in dis
Charra [1.4K]

Step-by-step explanation:

The coordinates of point A (2,8) and C (5,2)

The measure of segment AC

\sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2}  }

\sqrt{ {(5 - 2)}^{2}  +  {(2 - 8)}^{2} }

\sqrt{ {(3)}^{2} +  {( - 6)}^{2}  }

\sqrt{9 + 36}

\sqrt{45}

6.7 \: units

8 0
3 years ago
The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of
lilavasa [31]

Answer:

1.\boxed{\text{400 ft}^{2}}; 2. \boxed{\frac{1}{3716}}

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is  

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is  

A = l² = (20 ft)² = \boxed{\text{400 ft}^{2}}\\

Step 2. Calculate the area ratios

We must express both areas in the same units.  

Let's express the area of the room in square centimetres.

l = 20 ft ×  (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\

The ratio of the area in the drawing to the actual area is \boxed{\frac{1}{3716}}

8 0
3 years ago
Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.​
Lubov Fominskaja [6]

Answer:

3 times Mike's amount = 3h

4 0
2 years ago
A rectangular billboard image is 5 ft wide and 4 ft high. If the available billboard space is 25 ft by 15 ft, what are the dimen
Lapatulllka [165]

Answer:

18¾ ft × 15 ft

Step-by-step explanation:

The dimensions of the billboard are 25 ft by 15 ft.

The dimensions of the image are 5 ft by 4 ft  

Case 1.<em> Expand the length of the image to 25 ft. </em>

We have multiplied the length by five, so we must multiply the width by five.

w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard

by 5 ft.


<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>

We have multiplied the width by 15/4, so we must multiply the length by 15/4.

l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.

The expanded image will be 18¾ ft × 15 ft.

In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.

The pink rectangle represents the dilation of the original image to a width of 15 ft.

5 0
3 years ago
What is the discount on a pair of shoes with a regular price of $48?
Korolek [52]
The discounts on a pair of shoes with a regular price of $48 is 24
8 0
2 years ago
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