Answer:
The constant of proportionality is 7
Step-by-step explanation:
The equation for a direct relation is
y = kx where k is the constant of proportionality
y = 7x where k=7
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
An angle of elevation of 58 degrees with the ground means
that the angle started at the x-axis and terminates on the first quadrant
region through a counter clockwise direction. Imagining a triangle, the string
of the kite becomes the hypotenuse, the angle 58 degrees is the angle between
the hypotenuse and the ground, and the height of the kite is the side opposite
to the angle.
Therefore, we can calculate for the height of the kite
using the sin function:
sin θ = opposite side / hypotenuse
sin 58 = opposite side / 50 m
opposite side = 50 m * sin 58
opposite side = 42.4 m
<span>Therefore the kite is about 42.4 m above the ground.</span>
25 in exponential form: 
Factors to make 25 in exponential form: 5 * 5 = 5^2, 1 * 25 = 25^1
Answer:
1) 5 2) 6 3) 1.25 or -1.75
Step-by-step explanation:
1. x^2 - 25 = 0
x^2 - 25 = 0
First, add 25 to both sides!
x^2 = 25
Now square root both sides.
x = 5
2. (x-2)^2 = 16
First, square root both sides.
(x-2) = 4
Add 2 on both sides.
(x) = 6
x = 6
3. Quadratic Formula = -b ± 
/ 2a
Substitute in:
-6 ±
/ 2(2)
-6±
/ 4
Both forms:
-6 + 
/ 4
5 / 4 = 1.25
Negative:
-6 - 1 / 4
-7 / 4 = -1.75
