Let the number = x
Given: The sum of -5 and a number is -15
Then,
x - 5 = -15
or x = -15 +5 = -10.
Hence, the number is -10
Answer:
<YXZ and <TUS
Step-by-step explanation:
An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.
Therefore, the only pair of angles from the given options that flare alternate exterior angles are:
<YXZ and <TUS
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
Answer:
(-12, -10)
Step-by-step explanation:
Midpoint M is the average of endpoints A and B:
M = (A +B)/2
2M = A + B . . . . . . multiply by 2; next, subtract A
B = 2M - A . . . . . . the missing endpoint can be found this way
B = 2(-8, 0) -(-4, 10) = (2(-8)+4, 2(0)-10) = (-12, -10)
Answer:
Hello!
independent variable: variable in an experiment that is changed e.g. a plant's exposure to light
dependent variable: variable in an experiment that is measured e.g. a plant's height
The question is just asking to identify these variables.
Hope this helps! Feel free to ask further questions if need be.
