Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
Answer:
Step-by-step explanation:
25 - 3x = -5(1 - x) - 2x
<u></u>
<u>We have to first get rid of the parenthesis:</u>
==> -5
==> 5x
<u>So now you should have:</u>
25 - 3x = -5 + 5x - 2x
<u>Combine like terms:</u>
25 - 3x = -5 + 5x - 2x
25 - 3x = -5 + 3x
<u>Add 3x to both sides:</u>
25 - 3x = -5 + 3x
+ 3x = + 3x
<u>And you should have:</u>
25 = -5 + 6x
<u></u>
<u>Add 5 to both sides:</u>
25 = -5 + 6x
+5 = +5
30 = 6x
<u>Divide 6 to both sides:</u>
= 
5 = x
Answer:
x > 1
Step-by-step explanation:
Subtract 3 from both sides
8x + 3 - 3 > x + 10 - 3
Simplify
8x > x + 7
Subtract x from both sides
8x - x > x + 7 - x
Simplify
7x - 7
Divide both sides by 7
7x/7 > 7/7
Simplify
x > 1
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.
