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SIZIF [17.4K]
3 years ago
15

Jared wrote an equation for the perimeter of an equilateral triangle as 3x = 20. What does x represent in his equation?

Mathematics
2 answers:
ratelena [41]3 years ago
7 0
The perimeter of an object is equal to its sides added up.  Because this is a triangle, it will have 3 equal sides.  Since the triangle has 3 equal sides, its perimeter will be equal to one of its side lengths * 3.  

Because the perimeter will be equal to one of its side lengths * 3, x is equal to one of the triangle's side lengths.
kumpel [21]3 years ago
5 0
X is the variable for the length of the sides.

Because a equalilateral ∆ has 3 equal sides, they can be represented by one term (x)
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Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
What is the slope of the line that passes through the points (-3,1) and (7,-14)
Katyanochek1 [597]

Answer:

-  \frac{3}{2}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the formula above,

slope of line

=  \frac{1 - ( - 14)}{ - 3 - 7}  \\  =  \frac{1 + 14}{ - 10}  \\  =  \frac{15}{ - 10}  \\  =  -  \frac{3}{2}

5 0
3 years ago
Rewrite without absolute value for the given conditions: <br> y=|x-3|+|x+2|-|x-5|, if x&gt;5
Wittaler [7]

Answer:

  y = x + 4

Step-by-step explanation:

Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0

So Ix - 3I = x - 3,   Ix + 2I = x + 2   and x - 5 = x - 5

Therefore, y = x - 3 + x + 2 - x + 5

                  y = x + 4

5 0
3 years ago
Read 2 more answers
Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.
vodomira [7]

Answer:

\frac{1}{24} miles \\

Step-by-step explanation:

\frac{7}{8}  -  \frac{5}{6}  =  \frac{1}{24}

8 0
2 years ago
Complete the sentence the two rectangles are similar and have a scale factor of
MariettaO [177]

Answer: the answer varies since the size are not the same

Step-by-step explanation:

I hope it helps

4 0
3 years ago
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