Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that 
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of 
as follow:
Now lets plug in the value into the expression for angle ∠RNS to find the angle as:
Thus Option A. is the correct answer.
Answer:
y=30x^2+36x+48 OR f(x)=30x^2+36x+48
This is an exponential function/exponential graph. Hope I helped!
Step-by-step explanation:
Given: y=2(3x+6)(5x-4)
Use the distributive property!: y=(6x+12)(5x-4)
Use the distributive property!: y=(5x(6x+12)-4(6x+12))
Use the distributive property!: y=(30x^2+60x)-(24x+48)
Remove parenthesis: y=30x^2+60x-24x+48y=30x^2+36x+48 OR f(x)=30x^2+36x+48
This is an exponential function/exponential graph. Hope I helped!
<span>The biggest number of groups that can be formed is 6, because six is the greatest common factor of 12 and 42. There will be 2 coaches in each group because 6 x 2 = 12 and 7 players in each group because 7 x 6 = 42.</span>
<h3>
Answer: Choice D) -6 < -5</h3>
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Explanation:
Let's go through the answer choices
- A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
- B) This is also false. The value 0 is smaller than 2. A number line might help show this.
- C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
- D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.
Answer:
y = -2 ( (x^2) + (2*x*5) + (5^2)) - 30
y = -2 ( x^2 + 10x + 25) - 30
y = -2x^2 - 20x - (2*25) - 30
y = -2x^2 - 20x - 50 - 30
y = -2x^2 - 20x - 80
