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3 years ago

Factorize, completely each of the following expression 1-4h^2

Mathematics

1 answer:

Rashid [163]3 years ago

3 0

Answer:

(1 + 2h)(1 - 2h)

Step-by-step explanation:

$1 - 4h^2 = 1 ^2 - (2h)^2$

$=(1 - 2h)(1 + 2h)$ $[ \ a^2 - b^2 = (a - b)(a+b) \ ]$

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A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯ , A′B′¯¯¯¯

Alex

Since the scale factor of the dilation is 2, you would multiply each of the pre-image line segments' lengths by 2.

therefore,
P'Q'=4cm
A'B'=3cm
M'N'=6cm

Hope this helps you out!

4 0

3 years ago

Distance from Town A to Town B is divided into 8 equal parts. So far, the bus has traveled 12 miles. How far apart are Town A an

mars1129 [50]

The distance between the towns is the number of miles between them

Town A and town B are 24 miles apart.

From the complete question, 4 parts are shaded.

The four parts represent the distance traveled by the bus.

So, we have:

$\mathbf{4\ parts = 12\ miles}$

Multiply both sides by 2, to get 8 parts

$\mathbf{4\ parts \times 2= 12\ miles \times 2}$

$\mathbf{8\ parts = 24\ miles}$

Rewrite as:

$\mathbf{AB= 24\ miles}$

Hence, town A and town B are 24 miles apart.

Read more about distance at:

brainly.com/question/9056440

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3 years ago

An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measur

pashok25 [27]

Answer:

48∛9 ft²

Step-by-step explanation:

The length (L) and width (W) are given by:

$L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}$

Since this is a rectangular region, the area is given by:

$A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2$

The answer can be further simplified by factoring as follows:

$A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2$

The exact area is its simplest form is 48∛9 ft²

6 0

3 years ago

Need help got 40mins left almost done with class if you can help with algebra 2 class let me know so I can personal message you

marissa [1.9K]

Answer:

Quadratic because the y values go up and then down. None of the other options can do that.

5 0

3 years ago

Read 2 more answers

Which of the following points does Not lie on the graph of y =3x

nalin [4]

Answer:

(2,6)

Step-by-step explanation:

The options of the questions are

(0,1) (1,3) (2,6) (3,27)

and the given function is $y=3^x$

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

Verify each ordered pair

case 1) (0,1)

substitute the value of x and the value of y in the linear equation and then compare the results

$1=3^0$

$1=1$ ----> is true

The ordered pair lie on the graph of the given equation

case 2) (1,3)

substitute the value of x and the value of y in the linear equation and then compare the results

$3=3^1$

$3=3$ ----> is true

The ordered pair lie on the graph of the given equation

case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

$6=3^2$

$6=9$ ----> is not true

The ordered pair not lie on the graph of the given equation

case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

$27=3^3$

$27=27$ ----> is true

The ordered pair lie on the graph of the given equation

8 0

3 years ago