Length of the base = 9
Length of the hypotenuse = 16
✎ The length of the perpendicular ''".
The length of the perpendicular is.
Using Pythagoras theorem, we have
Hence verified. ✔
Easy peasy
the bit where it says
D={something}
those are the numbers you should input for x to get y values
3.
first solve for y to make life easier
-3x-5y=20
times -1
3x+5y=-20
minus 3x both sides
5y=-3x-20
divide both sides by 5
y=-3/5x-4
sub value of the domain
x=-10
y=-3/5(-10)-4
y=6-4
y=2
a point is (-10,2)
x=-5
y=-3/5(-5)-4
y=3-4
y=-1
(-5,-1) is another
x=0
y=-3/5(0)-4
y=-4
(0,-4) is another
x=5
y=-3/5(5)-4
y=-3-4
y=-7
(5,-7)
points are (-10,2), (-5,-1), (0,-4), (5,-7)
4.
input
x=-2
y=(-2)^2-3
y=4-3
y=1
(-2,1)
x=-1
y=(-1)^2-3
y=1-3
y=-2
(-1,-2)
x=0
y=(0)^2-3
y=-3
(0,-3)
x=1
y=(1)^2-3
y=1-3
y=-3
(1,-3)
x=2
y=(2)^2-3
y=4-3
y=1
(2,1)
the points are (-2,1), (-1,-2), (0,-3), (1,-2), (-2,1)
see graph below
The intersection points of the equations represents; C: The time when the height of the ball and the bird are the same.
We are given;
The height of the baseball over time:
h = -16t² + 65t
The height of the bird over time:
h = 8t + 20
The intersection point will be the value of t when; 8t + 20 = -16t² + 65
Rearranging gives;
16t² + 8t - 45 = 0
Using online quadratic equation calculator gives us;
t = -1.94 s or t = 1.44 s
Now, since both equations measure height vs time, it means that the points of intersection tell us the time when the height of the ball and the bird are the same.
Read more about height modeled by quadratic equations at; brainly.com/question/16313346
Answer: The real part is -6
The imaginary part is 2i
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
y>4 : the shaded region is above the line
y>x : the shaded region is above the line