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mafiozo [28]
4 years ago
15

Two sides of scalene abc measure 3 centimeters and 5 centimeters. how many different whole centimeter lengths are possible for t

he third side?
Mathematics
1 answer:
NeTakaya4 years ago
6 0
To determine the possible length of the third side, let us remember the basic rule of the triangle. Each side must be less than the sum of the other two. Here it's 5 and 3
So.

X<5+3

X<8

Length of the third side may be from 0, but not equal 0, offcourse, to 8, but not equal 8

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Which equation is y=6x^2+12-10 rewritten in vertex form
Andre45 [30]

The formula in order to obtain the vertex form of a quadratic equation is given as 

y=a(x-h)^2+k where (h,k) is the vertex of the quadratic equation which is parabolic in shape and it is opening upward.

As given in the problem, y=6x^2+12x-10

Using the formula, we can transformed the quadratic equation y=6x^2+12x-10 into its vertex form:

y=6x^2+12x-10

<span>y= (6x^2+12x)-10    (grouping)</span>

y=6(x^2+2x)-10 (factoring Common terms per group)

y=6(x^2+2x+1)-10-6 (Completing the squares)

<span>y=6(x+1)^2-16    (Factor and Simplify) </span>

 

Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>

7 0
4 years ago
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Shkiper50 [21]

Answer:

The sweaters cost $35 each.

Step-by-step explanation:

The skirt was $20, so you would subtract 20 from 160. that equals 140. Then you would divide 140 by 4. that would equal 35. So the answer is $35.

7 0
3 years ago
Write two different mixed numbers where the LCD (lowest common denominator) is 12
Mars2501 [29]

Two mixed numbers as \frac{5}{6} and \frac{5}{12} the least common denominator (LCD) is 12.

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

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.

<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>

  • Convert integers and mixed numbers to improper fractions
  • Find the LCD of all the fractions
  • Rewrite fractions as equivalent fractions using the LCD

Let's us have two mixed numbers as \frac{5}{6} and \frac{5}{12}.

Equivalent Fractions with the LCD

\frac{5}{6} = \frac{10}{12}

\frac{5}{12} = \frac{5}{12}

For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.

5 0
4 years ago
Two dice are rolled. What is the probability
mixas84 [53]

Answer:

1/6

Step-by-step explanation:

1/6 chance

8 0
3 years ago
Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain be
Butoxors [25]

I can't edit pictures for you so as a result I can't answer it. But label those  numbers on the x line and that will be your answer. And OMG your laptop is torn up I tell you TORN.

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