MATHEMATICS HIGH SCHOOL

Which of the following are the factors of t4 – 81?A. (t – 3)(t + 3)2
B. (t – 3)(t + 3)(t2 + 9)
C. (t2 – 9)(t2 – 9)
D. (t – 3)2(t + 3)2

Answers

Answer 1
Answer: t^4 - 81 =\n\n(t^2)^2 - (9)^2=\n\n(t^2 - 9)(t^2 + 9) =\n\n\boxed{\bf{ (t-3)(t+3)(t^2 + 9)}}

Your answer is B.
Answer 2
Answer: t^4 - 81 \n \n (t^2)^2 - 9^2 \n \n (t^2 + 9)(t^2 - 9) \n \n (t^2 + 9)(t^2 - 3^2) \n \n (t^2 + 9)(t + 3)(t - 3) \n \n

The final result is: B

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Solve the following system of equations graphically on the set of axes belowy = 3x - 6
y = -x+2

Answers

Answer:

y = 3x - 6

y = -x+2

Final answer:

To solve the system of equations graphically, graph both equations on a set of axes, then find the intersection point, which is the solution to the system.

Explanation:

To solve the system of equations graphically, we first need to graph each equation on a set of axes.

The first equation, y = 3x - 6, is a straight line with a slope of 3 and a y-intercept (where the line crosses the y-axis) at -6. To graph this, start at point (0, -6) on the y-axis, then move up 3 units and to the right 1 unit to find the next point. Repeat this process to plot several points, then draw a straight line through them.

The second equation, y = -x + 2, is also a line, but with a slope of -1 and a y-intercept at 2. Start at point (0, 2) on the y-axis, then move down 1 unit and to the right 1 unit. Draw a straight line through the points.

The solution to the system of equations is the point where the two lines intersect on the graph. By examining the graph, you can determine this point.

Learn more about Solving Systems of Equations Graphically here:

brainly.com/question/33375103

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If you traveled 226 miles during a 4 hour trip and used 10.5 gallons of gasoline, which expression tells you how many miles unto the gallon your car got on avarage

Answers

"Fuel economy" = "miles per gallon" = (distance traveled) divided by (gallons used)

mpg = (226 miles) / (10.5 gallons) = 21.52 miles per gallon (rounded)

It makes absolutely no difference whether the trip took 4 hours or 4 years.
That information is there just to try and trip you up.  You don't need it.

A wheel has a circumference of 7 5/6 feet .How many times dies it turn in 423 feet

Answers

Circumference of the wheel is the outer part of the wheel. We know that the wheel is turning "x" times over 423 feet. What we're trying to find is how many turns occur over 423 feet.

What we got to find is the length of the wheel. Wait! They give it to us; the circumference is the length.

The wheel is traveling that length "x" amount of times for 423 feet. So, we have
7 5/6 × x = 423.

Divide to get x by itself and you get 54. The wheel spun 54 times. Any questions then leave a comment. Good luck!

The hypotenuse of a right triangle is 7 inches, and one of the legs is square root 13 inches. Find the length of the other leg.A)  6 inches
B)    square root 62 inches
C)     square root 128 inches

Answers

The answer is A) 6 inches.
First I punch square root 13 in the calculator and got 3.6055... then I square the number since the formula has square root on it and got 13. Now the equation look something like this: 13 + b^2 = 49. 49 because 7^2 is 49. Then i subtract 49 by 13 and got 36. Now the equation look like this: b^2 = 36. After I square both side, I get b=6 in. 

What is 9×9 please help me

Answers

9x9 is 81. It is easy because 9x9=9+9+9+9+9+9+9+9+9. As you can see, that is 9 added 9 times.

What is the least common multiple of 3 and 8?

Answers

the lowest common multiple is 24
Just do 8 x 3 = 24
LCM = 24

Hope This Helps You!
Good Luck Studying :)
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