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spin [16.1K]
3 years ago
15

Expand the polynomial: (5a+1/5 b)^2

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0
Replaced A for X and B for Y

(25x^2)+(2xy)+(y^2/25)
WINSTONCH [101]3 years ago
3 0
Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer:  25 a^2 + a b + b a + (b^2/5)/5
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What are some differences between linear equations and inequalities, specifically their solutions and the process of finding tho
Scorpion4ik [409]

Answer:

difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution. For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1)

Step-by-step explanation:

6 0
2 years ago
Suppose that the total interest that will be paid on a 2525-year mortgage from a home loan of $130,000$⁢130,000 is going to be $
lesantik [10]

Answer:

$1,700

Step-by-step explanation:

Given the following :

Period of mortgage = 25 years

Mortgage amount = $130,000

Total interest on mortgage = $380,000

Hence,

Total amount to be paid ( principal + interest) :

($130,000 + $380,000) = $510,000

Total number of months over the 25 years period:

25 × 12 = 300 months

Payment per month:

Total repayment / number of months

= $510,000 / 300

= $1,700 per month

7 0
3 years ago
Evaluate each expression. Click on undefined as needed
Brums [2.3K]
If the 0 is in the numerator, the value is 0
if the 0 is in the denominator, the value is undefined

so 0/8 = 0
and 3/0 = undefined

4 0
3 years ago
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
scZoUnD [109]

Step-by-step explanation:

Hey there!

Given;

Radius of a circle (r) = 7cm

Now;

We know that;

Area of circle (a) = π*(r^2)

= 3.14*(7^2)

= 3.14*49

= 153.86 cm^2

Therefore, the area of a circle is 153.86 cm^2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
A jacket that is regularly sold for $49.95 is on sale for 25% off. What is the sale price of the jacket?
Gnoma [55]

First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.

25% ⇒ 0.25

Now, multiply 0.25 by 49.95.

0.25 × 49.95 = 12.46

25% of 49.95 is 12.46, so subtract 12.46 from 49.95.

49.95 - 12.46 = 37.49

<h2>Answer:</h2>

<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>

Now find 8% of 37.49.

8% ⇒ 0.08

Multiply 0.08 by 37.49.

0.08 × 37.49 = 2.99

<h2>Answer:</h2>

<u>The tax is </u><u>$2.99</u><u>.</u>

To find the full price, add 37.49 and 2.99 together.

37.49 + 2.99 = 40.48

<h2>Answer:</h2>

<u>The final cost is </u><u>$40.48</u><u>.</u>

4 0
3 years ago
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