Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down
if a is positive, then it goes down then up
if a is negative, it goes up then down
we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)
so decreases from -infinity to -3 or ininterval
(-infinity,-3)
answer is first option
Answer:
about 9 pounds, 7 ounces
Step-by-step explanation:
5 ounces per week
for 4 weeks
= 5 x 4 = 20 ounces gained thought these 4 weeks
Now add
8 Pounds, 3 ounces + 20 ounces = 9 pounds, 7 ounces
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Answer:
Equation: 
or 
Solution: 
Step-by-step explanation:
The formula that is used to calculate the perimeter of a square is:
Where "s" is the side lenght the square.
Knowing that Xin used 20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:
Then, you can susbtitute values into the formula :
Finally, you must solve for "x" in order to find its value.
This is:
Answer:
The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.
