Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
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<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
60•.30 is 28 60-18 is 42 times .15 is 6.3 and 42-6.3 is 35.7 so she will pay $35.70 as her final price
The triangles would be congruent because of the two Triangle Congruence Theorms.
ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Because your triangle has more than two angles that are congruent, and more than one side that are congruent, it more than fits the theorms.
Hope this helps.
By the Pythagorean Theorem, the hypotenuse squared is equal to the sum of the sides squared...
h^2=x^2+y^2
We are told that y=x+20 and h=24 so
x^2+(x+20)^2=24^2
x^2+x^2+40x+400=576
2x^2+40x+400=576
2x^2+40x=176
x^2+20x=88
x^2+20x+100=188
(x+10)^2=188
x+10=±√188
x=-10±√188, x>0 so
x=-10+√188 ft
y=10+√188 ft
If you want approximations...
x≈3.71 ft
y≈23.71 ft
