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makkiz [27]
3 years ago
13

Which polynomial is equivalent to (z+3)^2

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

z-3/z+3-z-9/z2+3z

Final result :

 3 • (z3 + z2 - z - 3)

 ———————————

          z2          

Step-by-step explanation:

Step  1  :

            9

Simplify   ——

           z2

Equation at the end of step  1  :

       3         9

 ((((z-—)+3)-z)-——)+3z

       z        z2

Step  2  :

           3

Simplify   —

           z

Equation at the end of step  2  :

          3                  9    

 ((((z -  —) +  3) -  z) -  ——) +  3z

          z                 z2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  z  as the denominator :

         z     z • z

    z =  —  =  ——

         1       z  

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Answer:

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Step-by-step explanation:

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2 years ago
What is the measure of a base angle of an isosceles triangle if the measure of the vertex tangle is 38 degrees and the two congr
Anit [1.1K]

The measures of the angles of the isosceles triangle are 55, 55 and 70.

Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let b =the measure of one of the base angles.

Let v = the measure of the the vertex angle.

The vertex angle is 40 degrees less than the sum of the base angles.

v = b + b − 40 = 2 b − 40

The sum of the measures of the angles of a triangle is 180.

b + b + v = 180

Substitute 2 b − 40 for v .

b + b + 2 b − 40 = 180

4 b − 40 = 180

+40+40

Combine like terms.

Add 40 to both sides.

4b=220

Divide by 4

4 b/4 = 220 /4

b = 55

v = 2 b − 40

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4 0
3 years ago
a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotnuse? round to the nearest tenth.
lora16 [44]

Let Hypotenuse be x

X² = 20² + 28²

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\tt x= \sqrt{400 + 784 }

\tt x= \sqrt{1,184}

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2 years ago
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HOW TO SOLVE:

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2) the starting equation is:
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3) add all the like terms on the left side of the equation:
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4) Divide by 12 on both sides:
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5) Find the lengths of the sides:

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        - 3x = 3(1.5) =  4.5

       - 5x = 5(1.5) = 7.5

SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5
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