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lapo4ka [179]
2 years ago
8

125 + (a-b)³ help me​

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

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Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
romanna [79]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds. Correct option B).

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

⇒ 4x-7\leq 9

⇒ 4x\leq 16

⇒ \frac{4x}{4}\leq \frac{16}{4}

⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

4 0
3 years ago
Find the area of the region bounded by the y-axis, the line y=6, and the line y = 1/2.
Ghella [55]

Solution:

As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.

We consider a line , one dimensional  if it's thickness is negligible.

So, Line is  two dimensional if it's thickness is not negligible becomes a quadrilateral.

So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and  y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.

4 0
3 years ago
I Need Help Pwease :-&gt;<br> ******************************
MissTica

Answer:

Area: 135 ft^2

Perimeter: 50 ft

Step-by-step explanation:

area:

take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over

subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2

A = 54/2

A = 27

add 27 + 108 to get the total area

135

perimeter:

18 + 9 + 11 + 12 = 50

5 0
3 years ago
Read 2 more answers
Need help with us question
lina2011 [118]

Answer:

17. 20  

18. 50

19. 50

20. 70

21. 110

22. 160

Step-by-step explanation:

I did this assignment already :)

7 0
3 years ago
A rectangle has a perimeter of 58. The width is 7 less than the length. Find the length
Marianna [84]

Answer:

Length = 18 Width = 11

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

So let's label the unknown length as x. Width would then be (x-7). Then plug it into the perimeter equation.

2(x) + 2(x-7) = 58

Then use PEMDAS which will give us

2x+2x-14 = 58

Combine like terms

4x -14 = 58

Add 14 to both sides

4x = 72

To get x by itself you have to divide both sides by 4.

x = 18

So length is 18 and width is (18-7) which is 11.

6 0
3 years ago
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