Answer:
26
75
37
82
145
34
Step-by-step explanation:
Hypotenuse of a right angle triangle from pythagoras theorem is given by
h²=b²+a²
Making h the subject
h=√(b²+a²)
Where h is hypotenuse, b is base and a is the other side of a triangle
10²+24²=676
√676=26 units
72²+21²=5625
√5625=75 units
12²+35²=1369
√1369=37 units
18²+80²=6724
√6724=82 units
105²+100²=21025
√21025=145 units
16²+30²=1156
√1156=34 units
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
The answer is B. Each lb of cranberries is 2.52
Hope this helps!
Answer:
C) (x,y) -> (-x,-y)
Step-by-step explanation:
This is the answer because the graph was flipped. If you look a the x point, it is in the same number, but the number is negative, and this is the same for the y point. hope this helps
To find where on the hill the canonball lands
So 0.15x = 2 + 0.12x - 0.002x^2
Taking the LHS expression to the right and rearranging we have -0.002x^2 + 0.12x -
0.15x + 2 = 0.
So we have -0.002x^2 - 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x^2 + 0.03x -2 = 0.
This is a quadratic eqn with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25. The second solution y = 0.15 * 25 = 3.75