Answer:
vertex = (- 1, 1 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x + 2 ← is in standard form
with a = 1 and b = 2 , then
x = - 
= - 1
substitute x = - 1 into the equation for y- coordinate of vertex
y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1
vertex = (- 1, 1 )
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)
then the geometry is zoomed on the left side
Answer: 
Step-by-step explanation:
By the exterior angle theorem,
Answer:
Group b most likely has a lower mean age of salsa students
Step-by-step explanation:
Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.
Here we are given with two groups that are Group A and Group B
both having total number of students = 20
Here the mean age of the data is addition of the all ages of different students divided by total number of students.
For group a
total age of the group = 3 × 5 + 4 × 10 + 6 × 17 + 4 × 24 + 3 × 29
= 15 + 40 + 102 + 96 + 87
=340
The mean age of salsa students= 340 ÷ 20 = 17
For group b
total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21
= 42 + 30 + 56 + 80 + 42
=250
The mean age of salsa students= 250 ÷ 20 = 12.5
So the group b most likely has a lower mean age of salsa students
Learn more about Arithmetic Mean here - brainly.com/question/24688366
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