Consider number 17. You know that
17=9+8.
Then for negative numbers you have the same rule (with respect to sign -):
-17=(-9)+(-8).
Since (-9)+9=9+(-9)=9-9=0, you have that
-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.
Answer: -17=(-9)+(-8).
Answer: the length of string that been let out to fly the kite this high is 172.89 ft
Step-by-step explanation:
The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.
With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.
The height of the kite above the ground represents the opposite side of the triangle
To determine h, the length of the string that has been let out to fly the kite this high, we would apply the
Sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Sin 57 = 145/h
h = 145/Sin57 = 145/0.8387
h = 172.89
Shea bought 13.5 pounds of corn
c = pounds of corn
b = pounds of beans
Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24
Solve the second equation for c in terms of b
c = 24-b
Substitute that expression for c in our first equation to get a numerical solution for b:
0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5
Substitute that value to get a numerical value for c:
c = 24 - b
c = 24 - 10.5
c = 13.5
Check the math:
0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
Answer:
Step-by-step explanation:
(x^2 - 4)(x^2 - 4)
Simplifying
(x2 + -4)(x2 + -4)
Reorder the terms:
(-4 + x2)(x2 + -4)
Reorder the terms:
(-4 + x2)(-4 + x2)
Multiply (-4 + x2) * (-4 + x2)
(-4(-4 + x2) + x2(-4 + x2))
((-4 * -4 + x2 * -4) + x2(-4 + x2))
((16 + -4x2) + x2(-4 + x2))
(16 + -4x2 + (-4 * x2 + x2 * x2))
(16 + -4x2 + (-4x2 + x4))
Combine like terms: -4x2 + -4x2 = -8x2
(16 + -8x2 + x4)
