Answer:
D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent
Step-by-step explanation:
For triangles to be congruent, it is not enough that corresponding angles are congruent. In addition, there must be at least one pair of corresponding sides that are congruent. (Then all pairs will be congruent.)
The points listed in choices B and D are points that form a right triangle with leg lengths 2 and 6. However, choice B only refers to the angle measures, and not the sides. Choice D is the correct one.
Step-by-step explanation:
a)
dy/dx = 4x √(1 − y²)
Separate the variables:
dy / √(1 − y²) = 4x dx
Integrate:
sin⁻¹ y = 2x² + C
Solve for y:
y = sin(2x² + C)
b)
Plug in initial value.
4 = sin(0 + C)
Sine cannot be greater than 1, so there is no solution.
3and5 are both divisible by 15
The answer is a since u do 4/5 put the whole number one then leave change flip then simplify
To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.
-> 4x -6y -5z = 60
-> X-Intercept:
To find the X intercept, equal the Y and Z values to 0.
(Y = 0; Z = 0)
4x -6(0) -5(0) = 60
4x = 60
x = 60/4
x = 15
-> Y-Intercept:
To the Y intercept it's the same thing, equal the another variable values to 0.
(X = 0; Z = 0)
4(0) -6y -5(0) = 60
-6y = 60
-y = 60/6
-y = 10 x(-1)
y = -10
-> Z-Intercept:
(X = 0; Y = 0)
4(0) -6(0) -5z = 60
-5z =60
-z = 60/5
-z = 12 x(-1)
z = -12
Answer: The intercepts for this equation (15,-10,-12).
Or: x = 15, y = -10, z = -12.
