How can I solve this square of binomial? (5d - 7d^2t)^2?

Answers

Answer 1
Answer:

The required simplified value of the square of binomial is 25d² - 70d³t + 49t²d^4 .

Given that,
To solve this square of binomial (5d - 7d²t)².

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Using (a - b)² = a² - 2ab + b²
(5d - 7d²t)² = (5d)² - 2 * 5d * 7d²t + (7d²t)²
(5d - 7d²t)² = 25d² - 70d³t + 49t²d^4

Thus, the required simplified value of the square of binomial is 25d² - 70d³t + 49t²d^4 .

Learn more about simplification here: brainly.com/question/12501526

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Answer 2
Answer: (5d - 7d^2t)^2=\n 25d^2-70d^3t+49d^4t^2

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The ratio of the width to the length of a rectangular garden is 2 to 3. Which of the following could be the width and length of the garden?A. Width = 12 feet, length = 13 feet.
B. Width = 18 feet, length = 12 feet.
C. Width = 24 feet, length = 39 feet.
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Answers

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a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centimeters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section

Answers

Hello, so the equation for the area of a trapezoid is                                      A = (a+b)*(h/2)             

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
A/(a+b) = h/2  

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

2(3.9/(4+2.5)) = h

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2(.6) = h

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Simplify the expression.(4 - 1)[(1 + 6) + 2]



23

27

42

45

Answers

Always simplify expressions in the order of PMDAS
(Parenthesis, Multiplication, Division, Addition, Subtraction)
(4-1) = (3)
[(1+6) + 2] = [7 + 2] = (9)
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Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answers

The length of the third side of a triangle is always less than the sum of the other two legs. Therefore if we add the two legs we obtain,

leg 1 + leg 2

10 + 15 = 25

Since the sum of the legs is 25, thus, the third leg should be less than 25. 

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

x+10>15

x+10-10>15-10

x>5

Therefore, the length of third side should be greater than 5.

10+15>x

25>x

x<25

Therefore, the length of third side should be less than 25 and option A is the correct choice.

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Answers

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Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour