Answer:
The answer is B.It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
Given a coordinate grid shown with triangle of measurements with base 4 units and height also 4 units.
We have to find the area of triangle which can be calculated as
⇒
=
we have to choose the statement describes the area of the triangle evaluate above.
Option A: Not matched ∵equals to [area of rectangle of length 4 units width 2 units]=
Option B: matched : given one-half the area of a square of side length 4 units.
⇒
Option C : Not matched : It is twice the area of a rectangle of length 4 units and width 2 units
⇒
Option 4 : Not matched : It is twice the area of a square of side length 4 units.
⇒
So, the correct option is B. It is one-half the area of a square of side length 4 units.
Answer: At $21.85, the supply will equal to demand.
Step-by-step explanation:
Since we have given that
Demand function is given by
Supply function is given by
According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.
So, at $21.85, the supply will equal to demand.
Answer:
Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.
Step-by-step explanation:
The common factor of 7 and 15 is 1
The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Let's suppose the rate of the current = r
The time it takes to go downstream + 4 hours = time to go upstream
As we know the:
Now,
After solving:
After cross multiplication
44(8+r) - 44(8-r) = 3(8+r)(8-r)
88r = 3(64 - r²)
3r² + 88r - 192 = 0
After solving the above quadratic equation, we get:
r = 2.03 or
r=−31.37 (reject as it is negative)
So, the r =2.03 mph
Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
