Answer:
To find the solutions to the system of equations we need to graph the following equations:
y = 8 - 4x (Red line)
y = 2x - 4 (Blue line)
The point of interception, is the solution to the system of equations.
By looking at the graph attached, you can see that the point of itersection is at (2,0)
Answer:
B
Step-by-step explanation:
7 is the only number of those in the decimal form.
Answer:
r=2
Step-by-step explanation:
r + 11 + 8r = 29
add the like terms
r+8r+11=29
9r+11=29
then subtract 11 on both sides to eltimate 11
9r=18
lastly divide 9 on both sides
r=2
Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Y = mx + b
m = slope, b = y intercept
Plug in the values
Solution: y = -2x + 3
