Answer:
S₃ = 37
Step-by-step explanation:
given a₁ = 16 and r = 
, then
a₂ = a₁ × = 16 × = 12
a₃ = a₂ × = 12 × = 9
then
S₃ = a₁ + a₂ + a₃ = 16 + 12 + 9 = 37
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.
Answer:The normal resting heart rate for adults over the age of 10 years, including older adults, is between 60 and 100 beats per minute (bpm). Highly trained athletes may have a resting heart rate below 60 bpm, sometimes reaching 40 bpm. The resting heart rate can vary within this normal range.
Step-by-step explanation:
The correct statements are as follows:
A point's location on the coordinate plane is indicated by an ordered pair, (x,y).
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Answer:
Step-by-step explanation:
area of top=7×6=42 yd²
area of bottom=3×6=18 yd²
area of two rectangles=2[4×6]=48 yd²
area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²
total surface area=42+18+48+35=143 yd²
