Step-by-step explanation:
you know that QPS adds up to 47
so the sum of RPS and QPR shoukd = 47
(3x - 38) + (7x - 95) = 47
you then solve for x then you can use that to find QPR
Answer:
37 mph
Step-by-step explanation:
Sum of forces on the car in the y direction:
∑F = ma
N − mg = 0
N = mg
Sum of forces on the car in the x direction:
∑F = ma
-Nμ = ma
-mgμ = ma
-gμ = a
Given μ = 0.75 and g = 32 ft/s²:
a = -(32 ft/s²) (0.75)
a = -24 ft/s²
Use kinematics to find the initial velocity.
v² = v₀² + 2aΔx
(0 ft/s)² = v₀² + 2 (-24 ft/s²) (60 ft)
v₀ ≈ 53.7 ft/s
v₀ ≈ 37 mph
Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).
(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)
We can now group them.
(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)
Now we simplify
12y² + 9y - 21
Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).
(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)
Simplify, subtract like terms.
4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)
4y³ + 6y² + 7y - 5 is the length of the 4th side.
Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set.
For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.
<em>Polynomials are closed under the same operations as integers. </em>
