Answer:
part a= -1
part b= -4
Step-by-step explanation:
f(x) is y. plug in -4 for y and check x
Answer:
Step-by-step explanation:
The surface area of a sphere (which the earth is considered to be) = 4 pi r^2
pi = 3.14
r = 6340
Area = 4 * 3.14 * 6340 * 6340 = 504856736 square km.
You should either round this to 505,000,000 or express a value in scientific notation.
5.05 * 10^8
Answer:
Step-by-step explanation:
Yes
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Prove: ∠A ~= ∠C.
Statements Reasons
1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given
2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary
3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality
4. m∠A = m∠C Substitution (step 3)
5. ∠A ~= ∠C Definition of ~=
Answer: SU, TU, ST is the right answer
Step-by-step explanation: In a triangle
The largest side and the largest angle are opposite to each other
The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
The smallest angle is m∠T = 25° so the shortest side is SU
The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
