<u>Answer:</u>
The correct answer option is 'not congruent'.
<u>Step-by-step explanation:</u>
We are given two right angled triangles and we to to determine if their congruence can be proved by any postulate.
Two right angled triangles are said to be congruent if the hypotenuse and one leg of a right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
While here, the hypotenuse of each of the triangles are not equal and neither their corresponding legs.
Therefore, these triangles are not congruent.
Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.
y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) =
y + 3 = 2/3(x - 5) <=== ur answer in point slope form
Answer:
a. dy/dx = -2/3
b. dy/dx = -28
Step-by-step explanation:
One way to do this is to assume that x and y are functions of something else, say "t", then differentiate with respect to that. If we write dx/dt = x' and dy/dt = y', then the required derivative is y'/x' = dy/dx.
a. x'·y^3 +x·(3y^2·y') = 0
y'/x' = -y^3/(3xy^2) = -y/(3x)
For the given point, this is ...
dy/dx = -2/3
___
b. 2x·x' +x^2·y' -2x'·y^3 -2x·(3y^2·y') + 0 = 2x' + 2y'
y'(x^2 -6xy^2 -2) = x'(2 -2x +2y^3)
y'/x' = 2(1 -x +y^3)/(x^2 +6xy^2 -2)
For the given point, this is ...
dy/dx = 2(1 -0 +27)/(0 +0 -2)
dy/dx = -28
_____
The attached graphs show these to be plausible values for the derivatives at the given points.
Answer:
a bank sends its customers an email iff a<1
Step-by-step explanation:
Let a=account
So, a<1
Therefore, a bank sends its customers an email iff a<1
