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Harrizon [31]
3 years ago
11

The two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si

des. the perimeter of the triangle is 29 m
Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
P=a+b+c. Sub in what we know: 29=a+a+(a+5). Combine like terms: 29=3a+5. Subtract 5 from both sides: 24=3a. Divide by 3: 8=a. Short sides: A=8m, b=8m, long side: c=13m. :)
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X-y+z=-4<br><br> 3x+2y-z=5<br><br> -2x+3y-z=15<br><br> How do I solve this?
Lera25 [3.4K]
1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\\\\2)\ \ \ 3x+2y-z=5 \\.\ \ \ \  \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \\.\ \ \ \  \Rightarrow\ \ 3x+2y+4+x-y=5 \\.\ \ \ \  \Rightarrow\ \ 4x+y=1\\\\3)\ \ \ -2x+3y-z=15\\.\ \ \ \  \Rightarrow\ \ -2x+3y-(-4-x+y)=15\\.\ \ \ \  \Rightarrow\ \ -2x+3y+4+x-y=15\\.\ \ \ \  \Rightarrow\ \ -x+2y=11\\--------------------\\

z=-4-x+y\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\\ \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \\\\\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \\-------\\y+8y=1+44\\9y=45\ /:9\\y=5\\\\-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\\\\z=-4-x+y=-4-(-1)+5=-4+1+5=2\\\\Ans.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2
5 0
3 years ago
Find the reciprocal of 3​
butalik [34]
1/3 because all you have to do is flip it
4 0
3 years ago
If k space plus space 9 over 2 equals 3 over 2, what is the value of k?
ankoles [38]

k = - 3

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3 0
3 years ago
Andre received and spent money in the following ways last month. For each example, write a positive or negative number to repres
lara [203]

Answer:

+25;+18;-10

Step-by-step explanation:

Ok so let's break down the scenario step by step:

  • His uncle gave him $25 so that means it's positive so <em>+</em><em>25</em><em> </em>
  • Now he earned $18 so that means it is also positive so <em>+</em><em>18</em>
  • And now he spent $10 which means it is negative so <em>-</em><em> </em><em>10</em>

(And of you want to find out the amount left with him,

(25+18)-10

=43-10

=$33)

Hope this helps :)

3 0
3 years ago
Heres the clearer version
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Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

8 0
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