Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:
which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:
which reflects a shift to the right 3 and down 5. That's what we want!
Answer:
The value of cot (∠A) = 3/4
Step-by-step explanation:
Given the angle ∠A of a right-angled triangle
We know that the trigonometric ratio
cot (∠A) = adjacent / opposite
= 3/4
Thus, the value of cot (∠A) = 3/4
Answer:
13 sides
Step-by-step explanation:
1980 = (n − 2)×180 Formula for number of sides
n − 2 = 1980/180 Divide both sides by 180
n - 2 = 11
+ 2 + 2 Add 2 to both sides
n = 13
Their houses are nine miles away from each other. Mark rides his bike at a rate of twelve miles per hour. Each hour consists of sixty minutes; therefore I would do 60/12 to get five, representing him being able to do one mile in five minutes. Hence, you shall perform 9*5 or nine times five to get the answer of fourty-five minutes.
12 MILES PER HOUR
60 divided by 12 = 5 minutes
ONE MILE PER 5 MINUTES
9 multiplied by 5 = 45 minutes
I hope this helps.
R=I+6 S=4R I
I+(I+6)+4(I+6)=126
Basic algebra (I dont know how to show it) leaves you with: 6I = 90, divide both sides by 6 and I=15