(2+7i)(2-7i)= ==========

Answers

Answer 1
Answer: (2+7i)(2-7i)=2^2-(7i)^2=4-49\vfot(-1)=4+49=53\n\n-------------------------------\ni=√(-1)\n\ni^2=-1
Answer 2
Answer: (2+7i)(2-7i)=4-14i+14i-49i^2\n \n 4+49=53

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Which products result in a perfect square trinomial? Check all that apply.A=(–x + 9)(–x – 9) B=(xy + x)(xy + x) C=(2x – 3)(–3 + 2x) D=(16 – x2)(x2 – 16) E=(4y2 + 25)(25 + 4y2)
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Two large numbers of the Fibonacci sequence are F49 = 7,778,742,049 and F50 = 12,586,269,025. What is the approximate value of the quotient ?

Answers

 Two large numbers of the Fibonacci sequence are F497778742049 and F50=12586269025.

Help me with this!!!

Answers

Answer:

3.5 would be halfway of 3 and 4.

Answer:3.5

Step-by-step explanation:

3.5 is half of 3 and 4

Donna wants to make trail mix made up of almonds, walnuts, raisins. she wants to mix one part almonds, two part walnuts, and three parts raisins. almonds cost $12 per pound,walnuts cost $9 per pound, and raisins cost $5 per pound. Donna has $15 to spend on the trail mix. determine how many pounds of trail mix she can make.[ only an algebraic solution]

Answers

almons:walnuts:rasins=1:2:3


x=pounds of walnuts
y=pounds of almonds
z=pounds or rasins
2x=y
3x=z
subsitute


12x+9y+5z=15
12x+9(2x)+5(3x)=15
12x+18x+15x=15
45x=15
divide by 45
x=1/3
so
1/3 pound of walnuts
2x=y
2(1/3)=y=2/3
2/3 pounds of almonds
3x=z
3(1/3)=z
1=z
1 pound of rasins




1/3 pound walnuts
2/3 pound almonds
1 pound rasins

Simplify each side of the following equation before applying the addition propertyx − 9 + 6 = −5 − 4

Answers

-9+6 = -3
-5 - 4= -9
so it's 
x-3=-9 OR
x=-6
X-9+6=-5-4
x-3=-9
x=-6

its cost 50 to make a bracelet and 1$ to make a necklace to make a profit the total cost for bracelets and necklaces must be less than 10$ the jeweler can make no more than 14 pieces of jewelry each day write a system of inequalities to model the number of bracelets and necklaces to be made each day

Answers

b + n ≤ 14 and .50b + 1n < 10 This is because the total number of bracelets added to the total number of necklaces made each day must be less than or equal to 14. Also, the price of each bracelet (.50b) added to the price of each necklace (1n) must be less than $10.

Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equation obtained in Part A for the first six hours?

Answers

Assuming that the car is travelling at constant acceleration, follows the equation: v = (v_in) + at where v = velocity v_in = initial velocity, (at t = 0) a = acceleration t = time Given the conditions, v = 51 at t = 3, and v = 59 at t = 5 Eqn 1: 51 = (v_in) + a(3) Eqn 2: 59 = (v_in) + a(5) Solving for v_in and a (using a calculator) v_in = 39 a = 4 therefore the equation for the motion of the car is: v = 39 + 4t This equation can be plotted using excel or wolframalpha.