Answer:
x1=(-4+5i)/2
x2=(-4-5i)/2
Step-by-step explanation:
4x^2 +16x+49=8
4x^2+16x+49-8=0
4x^2 +16x+41=0
a=4, b=16, c=41
x1=(-b+sqrt(b^2-4ac))/2a
x2=(-b-sqrt(b^2-4ac))/2a
x1=(-16+sqrt(16^2-4*4*41))/2*4
x1=(-16+sqrt(256-656))/8
x1=(-16+sqrt(-400))/8
x1=(-16+20i)/8
x1=(-4+5i)/2
x2=(-4-5i)/2
1 pizza should cost $5.65
Pizza is $5.65 then bottle of coke is $2.45
3 pizzas and coke: ($5.65*3) + $2.45 = $19.4
I solved this by setting up and solving a system of linear equations:
Variables: p = pizza, c = coke
p = c+3.2
3p+c = 19.4
Solve by substitution
3(c+3.2) + c = 19.4
4c+9.6 = 19.4
c = 2.45
Re-plug in:
p = 2.45+3.2
p = 5.65
<h3>Given</h3>
- C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time
<h3>Find</h3>
- dr/dt for radius r
- r at t=4 seconds
<h3>Solution</h3>
The circumference and radius of a circle are related by
... C = 2πr
so the radius in terms of circumference is
... r = C/(2π)
... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)
Then dr/dt is
... dr/dt = 0.2/π cm/s
And the radius at t=4 s is
... r(4) = (1/π)(20 + 0.2·4) cm
... r(4) = 20.8/π cm
Answer: option A is the correct answer.
Step-by-step explanation:
The rope, the flagpole and the ground would form a right angle triangle. The length of the rope represents the hypotenuse of the right angle triangle. The vertical height of the flagpole represents the opposite side of the right angle triangle. The distance from the point where the rope is staked to the ground to the base of the pole represents the adjacent side of the right angle triangle.
To determine the height if the flagpole h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
29² = 21² + h²
841 = 441 + h²
h² = 841 - 441 = 400
h = √400 = 20 ft
Answer:
12
Step-by-step explanation:
Apart from it being inside the graph, to solve it you will multiply 48 by 25%
but first make it a decimal by moving the . in 25. over the left two times. .25
48 x .25=12