Vertex is (2,-3). H (which is 2) sign is always opposite and k stays the same
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.
1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
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Answer: HJ = 25, JK = 25, HK = 50
<u><em>Answer</em></u>
<em>1.) 50 mistakes per test</em>
<em>2.) 8 girls per group</em>
<em>3.) 27 pages per hour</em>
<em>4.) $1.30 per banana</em>
<em>5.) $0.50 per pencils</em>
<em>6.) 13 points per game</em>
<em>7.) $1.25 per cup of tea</em>
<em>8.) 65 liters per hour</em>
<em>9.) 25 calls per hour</em>
<em>10.) 35 words per minute</em>
<em>11.) 8 miles per liter of gas</em>
<em>12.) 0.4 eggs per day</em>
<em>13.) $28 per hour</em>
<em>14.) 3.5 miles per hour</em>
<u><em>Step-by-step explanation:</em></u>
<em>*Hope this helped*</em>
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Answer:
It is the distance that -5 is from 0 on the number line
Step-by-step explanation:
I learned this last month
Hope this helps
M - 30 = 10
so the number has to be 10 more than 30.
30+ 10 = m
m = 40
