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enot [183]
3 years ago
6

(2x+1)(2x-1) find the product

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0
Difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
recognize that

(2x+1)(2x-1)
(a+b)(a-b)
therefor
product is
(2x)^2-(1)^2=
4x^2-1
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Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).
LiRa [457]

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-3}{4-2}=0.5

For RT:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-3}{5-2}=-1

For ST:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

5 0
2 years ago
Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
How many times is the value of the digit 5 in 65.1748 lesser than the value of
olchik [2.2K]

Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.

4 0
3 years ago
12d 14:16:08
GREYUIT [131]

Montando uma expressão para a situação, tem-se que Pedro recebeu 3y - 45 de troco.

----------------

  • O preço total do produto comprado por Pedro é de 45 reais.
  • Pedro pagou em 3 notas de y reais, ou seja, o valor do pagamento é de 3y.
  • O troco é dado pelo excedente do pagamento em relação ao preço total, ou seja, a subtração de 3y por 45.
  • Ou seja, a expressão que representa o troco é: 3y - 45.

Um problema similar é dado em brainly.com/question/21496824

5 0
2 years ago
If z^1/2 = x^1/2 + y^1/2 , prove that (x + y - z)^2 = 4xy.<br><br>HELPP MEEEEE ​
lawyer [7]
The answer is 6 cap use photo math
5 0
3 years ago
Read 2 more answers
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