Answer:
110
Step-by-step explanation:
Using pythagorean theorm
c^2 = a^2 + b^22
610^2 = 600^2 + b^2
372100 = 360000 + b^2
b^2 = 12100
b = 110
Answer: Mark has 28 marbles while Don has 85 marbles.
Step-by-step explanation:
Let x represent the number of marbles that Mark has.
Let y represent the number of marbles that Don has.
If Don has 1 more than 3 times the number of marbles Mark has, it means that
y = 3x + 1
The total number of marbles is 113. It means that
x + y = 113- - - - - - - - - - - - 1
Substituting y = 3x + 1 into equation 1, it becomes
x + 3x + 1 = 113
4x + 1 = 113
4x = 113 - 1 = 112
x = 112/4
x = 28
y = 3x + 1 = 3 × 28 + 1
y = 85
The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
Answer:
Step-by-step explanation:
Use the formula for the area of a triangle,
Area of a triangle = 
7). Area of the triangle = 
= 74 km²
8). Area of the triangle = 
= 30.8 cm²
9). Area of the triangle = 
= 56 m²
10). Area of the triangle = 
= 42.35 km²
Step-by-step explanation:
This is an example of correlation because there is an obvious relationship between the two scenarios.