Factor completely 16x2 + 40x + 25

Answers

Answer 1

Answer: Equation at the end of step 1 : (24x2 + 40x) + 25 Step 2 :Trying to factor by splitting the middle term

2.1     Factoring  16x2+40x+25

The first term is,  16x2  its coefficient is  16 .
The middle term is,  +40x  its coefficient is  40 .
The last term, "the constant", is  +25

Step-1 : Multiply the coefficient of the first term by the constant   16 • 25 = 400

Step-2 : Find two factors of  400  whose sum equals the coefficient of the middle term, which is   40 .

-400 + -1 = -401 -200 + -2 = -202 -100 + -4 = -104 -80 + -5 = -85 -50 + -8 = -58 -40 + -10 = -50 -25 + -16 = -41 -20 + -20 = -40 -16 + -25 = -41 -10 + -40 = -50 -8 + -50 = -58 -5 + -80 = -85 -4 + -100 = -104 -2 + -200 = -202 -1 + -400 = -401 1 + 400 = 401 2 + 200 = 202 4 + 100 = 104 5 + 80 = 85 8 + 50 = 58 10 + 40 = 50 16 + 25 = 41 20 + 20 = 40 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  20  and  20
                     16x2 + 20x + 20x + 25

Step-4 : Add up the first 2 terms, pulling out like factors :
                    4x • (4x+5)
              Add up the last 2 terms, pulling out common factors :
                    5 • (4x+5)
Step-5 : Add up the four terms of step 4 :
                    (4x+5)  •  (4x+5)
             Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (4x+5) by  (4x+5)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (4x+5) and the exponents are :
          1 , as  (4x+5) is the same number as  (4x+5)1
and   1 , as  (4x+5) is the same number as  (4x+5)1
The product is therefore,  (4x+5)(1+1) = (4x+5)2

Final result : (4x + 5)2

hope this helps hope i am brainliest i need it

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If a side of a square is 1/2 ft long what is the perimeter of the square

Answers

Perimeter is the sum of the length of all sides. A square has 4 sides with equal sides. So the perimeter = 4*1/2ft =2ft

Use a complete sentence to describe how axioms about addition in particular could be helpful in developing theorems about multiplication.

Answers

Additions serve and help to prove multiplications being correct.

An axiom is understood to be an irrefutable truth, which applies in any field of science, such as mathematics.

Within the exact sciences, then, multiplication is a mathematical operation that reproduces a number by the number of times that the multiplier indicates: it is, in short, a sum of the same number by the number of times arranged by the multiplier.

Thus, the addition allows to verify that the result of the multiplication is correct.

Learn more in brainly.com/question/17492886

The correct answer to this question is that "axioms is an operation to extend and prove multiplication." In particular, axioms by definition are statements or proposition that is regarded as being established, accepted, or self-evidently true. In other words, they are true in itself. You can use properties like distributive, commutative, associative, etc.

Solve this equation:
5/8y=-1

Answers

$(5)/(8) y = -1$

First, change $(5)/(8) y$ to $(5y)/(8)$ / Your problem should look like: $(5y)/(8) = -1$
Second, multiply both sides by 8. / Your problem should look like: $5y = -8$
Third, divide both sides by 5. / Your problem should look like: $y = -(8)/(5)$

Answer as fraction: y = $- (8)/(5)$
Answer as decimal: -1.6

5/8y=−1

Multiply both sides by 8/5.

(8/5)*(5/8y)=(8/5)*(−1)

y=−8/5

Solve each equation for the given variable a-2b=-10 for b

Answers

a-2b=-10
add 2b on both sides
a=2b-10
add 10 to both sides
a+10=2b
divide both sides by 2
a/2+10/2=a/2+5=b
b=5+a/2

Determine if triangle a bc with coordinatesome a (0,2), b (2,5) and c (-1,7) is an isosceles triangle

Answers

it would not be isosceles it would be scalene because a scalene doenst have the same sides all it sides are different

A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is $25. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $10. Find the cost for each pound of walnuts and each pound of chocolate chips.