Answer:
2
Step-by-step explanation:
Answer:
17 ± sqrt(337)
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2
Step-by-step explanation:
Let a = shorter leg
b= longer leg = a+7
c = hypotenuse = 2a-5
We can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + (a+7)^2 = (2a-5)^2
(a+7)^2 = a^2 +7a +7a+49 = a^2 +14a +49
(2a-5)^2 = 2a*2a -10a -10a +25 = 4a^2 -20a +25
Substituting these into the equation
a^2 + (a^2 +14a +49) = (4a^2 -20a +25)
Combine like terms
2a^2 +14a +49 = 4a^2 -20a +25
Subtracting 2a^2 from each side
2a^2 -2a^2 +14a +49 = 4a^2-2a^2 -20a +25
+14a +49 = 2a^2 -20a +25
Subtract 14a from each side
-14a+14a +49 = 2a^2 -20a -14a+25
+49 = 2a^2 -34a +25
Subtract 49 from each side
49-49 = 2a^2 -34a +25-49
0 = 2a^2 -34a -24
Divide each side by 2
0/2 = 2/2a^2 -34/2a -24/2
0 = a^2 -17a -12
Using the quadratic formula
a=1 b= -17 c = -12
17 ±sqrt( (-17)^2 - 4(1)(-12))
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2(1)
17 ± sqrt(337)
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2
Answer:
see below
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (-5- -7.5)/ ( 2 - -3)
= (-5+7.5) / ( 2+3)
= 2.5 /5
=1/2
Then using the slope intercept equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using a point from above
-5 = 1/2(2) +b
-5 =1+b
Subtract 1 from each side
-6 = b
We have the y intercept
y = 1/2x-6
Tahlia forget to find the y intercept for the equation
Answer:
ummmmmm....post the pic at least
Answer:
exponent
Step-by-step explanation: