What is the quotient (x^3+8)/(x+2)
Answers
Answer:
Step-by-step explanation:
The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)
If the factor is x + 2 = 0, then the solution or the root is x = -2. We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":
-2| 1 0 0 8
Bring down the first number and multiply it by the -2. Put the product up under the first 0 and add:
-2| 1 0 0 8
-2
1 -2
Now multiply the -2 by the -2, put the product up under the next 0 and add:
-2| 1 0 0 8
-2 4
1 -2 4
Now multiply the 4 by the -2, put the product up under the 8 and add:
-2| 1 0 0 8
-2 4 -8
1 -2 4 0
Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:
x² - 2x + 4 = 0
Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.
There is a whole world of stuff to learn about quadratics!!
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Evaluate. 8.76 + (–3.05) a. –11.81 b. –5.71 c. 5.71 d. 11.81
What is the value of the x in this equation x/8 = 7
Answers
Answers
Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagorastheorem.the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
Answers
Answer: 3 units
Step-by-step explanation:
Using distance formula :
The diameter of the circle with endpoints R(-2, 2) and S(4, 2) will be
Since, the radius of a circle is half of the diameter.
Then the radius of the circle will be
Hence, the radius of the circle = 3 units.
Answer:
the answer is 3
Step-by-step explanation:
Answers
Answer:
good questiion
Step-by-step explanation:
-a^2 b^2 c^2 (a + b - c)
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Answers
If Maya makes 5 bracelets in 2/3 hours, then she can make approximately 11 bracelets in 1.5 hours.
How many bracelets can Maya braid in 1.5 hours?
Given the parameter:
Maya makes 5 bracelets in 2/3 hours.
How many can she make in 1.5 hours?
To determine the number of bracelets Maya can make in 1.5 hours, we can set up a proportion.
Let 'x' be the number of bracelets in 1.5 hours
(5 bracelets) / (2/3 hour) = (x bracelets) / (1.5 hours)
Solve for x:
x × 2/3 = 5 × 1.5
x × 2/3 = 5 × 3/2
x × 2/3 = 5 × 3/2
2x/3 = 15/2
2x × 2 = 3 × 15
4x = 45
x = 45/4
x = 11.25
x ≈ 11 bracelets
Therefore, she can make approximately 11 bracelets in 1.5 hours.
Learn more about proportions at :brainly.com/question/29774220
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