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4 years ago

Please provide all steps given to find the answer. Thanks!!! Simplify: 5(2x+9)²

Mathematics

2 answers:

guajiro [1.7K]4 years ago

7 0

Answer:

20x^2 + 180x +405

Step-by-step explanation:

5(2x+9)²

5 ( 2x+9) (2x+9)

FOIL

first

2x*2x = 4x^2

outer: 2x*9 = 18x

inner 2x*9 = 18x

last : 9*9 = 81

Add these together : 4x^2 + 18x+18x +81 = 4x^2+36x+81

5( 4x^2+36x+81 )

20x^2 + 180x +405

gulaghasi [49]4 years ago

4 0

Answer:

20x²+180x + 405

Step-by-step explanation:

Follow PEMDAS to know what you do first

square (2x + 9) by foiling

(2x+9) (2x + 9)

= 4x²+ 36x + 81

Multiply by 5

20x²+180x + 405

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Solve each equation and check your solution <br> -3w-4=w+3

denpristay [2]

Answer:

$\boxed {w = - \frac{7}{4} }$

Step-by-step explanation:

We want to solve the linear equation -3w-4=w+3

We group like terms to get

$- 3w - w = 3 + 4$

$- 4w = 7$

Divide both sides by -4

$w = - \frac{7}{4}$

Now let us check

$- 3 \times - \frac{7}{4} - 4 = - \frac{7}{4} + 3$

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3 years ago

Simplify to create an equivalent expression. 8−4(−x+5)

mezya [45]

Answer:

$8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12$

Step-by-step explanation:

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3 years ago

If a triangle has side lengths of 7 cm, 10 cm, and 12 cm, is it a right triangle ?

uranmaximum [27]

Answer:

No, it is not.

Step-by-step explanation:

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3 years ago

Kiran starts at 9:00 am by bicycle to reach office. She cycles at the speed of 8 km/hour and reaches the office at 9:15 am. By h

Ivenika [448]

Answer:

v = 12 km/h

Step-by-step explanation:

To find how much she should increase the speed first we need to find the distance traveled:

$d = v*t$

Where:

d: is the distance traveled =?

v: is the velocity = 8 km/h

t: is the time = 15 min (9:00 to 9:15)

$d = v*t = 8 km/h*15 min*\frac{1 h}{60 min} = 2 km$

Now, we can find the speed:

$v_{f} = \frac{d}{t} = \frac{2 km}{10 min*\frac{1 h}{60 min}} = 12 km/h$

Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.

I hope it helps you!

6 0

3 years ago

.............................screenshot

antoniya [11.8K]

Answer:

92.5 cm²

Step-by-step explanation:

Lets take this step by step

Bottom rectangle is 2 by 5, so then 2*5 = 10

Large rectangle is 8 by 9, so 8*9 = 72

The triangle is 7 by 3, you get the 7 by subtracting the 5 side from the square because using the square you can tell that the height is 9 - something.

The 5 you get is from subtracting the cut part that you might have made because the height of that is 2, therefore you cut off 2 from 7 making it 5

Triangle area is h*b / 2, therefore 7*3 = 21/2 = 10.5

Add them all together, 10.5 + 10 + 72 and you get 92.5

6 0

4 years ago

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