What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)?–2x + 5
2x – 5
–2x – 5
2x + 5
Answers
For this case we have the following expression:
Factoring the numerator we have:
Rewriting the denominator we have:
Canceling similar terms we have:
Answer:
The quotient of the division is given by:
(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5
The correct result would be - 2x + 5.
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Answers
Answer:
its 1
Step-by-step explanation:
Answer:
its number one
Step-by-step explanation:
thank you and I'm sure
Answers
Answer:
7 m
Step-by-step explanation:
As the question is given, the tree is broken from the middle and the length of the broken part is:
- 14 m /2 = 7 m
So it is 7 m
Final answer:
To find the length of the broken part of the tree, use the concept of similar triangles and set up an equation. Solve the equation to find the length of the broken part.
Explanation:
To find the length of the broken part of the tree, we can use the concept of similar triangles. The height of the tree is 14m, and when it's broken, the top touches the ground, forming a right triangle with the remaining part of the tree. Let's call the length of the broken part x. Using the properties of similar triangles, we can set up the following equation:
14m / x = (14m - x) / x
Simplifying the equation, we get:
14m^2 - x^2 = 14m * x
Now, let's solve for x:
14m * x = 14m^2 - x^2
x^2 + 14m * x - 14m^2 = 0
This is a quadratic equation that can be factored:
(x - 14m)(x + m) = 0
So, x = 14m or x = -m. Since we are dealing with length, we can ignore the negative solution. Therefore, the length of the broken part of the tree is 14m.
Learn more about Similar triangles here:
#SPJ12
7
5
25
28
9.
Find the distance between the two points. Round to the nearest tenth if necessary.
(–2, –6), (3, 9)
15.8
250
3.2
20
Answers
The distance formula is expressed as square root of the square of the difference of y's and the square of the difference of x's.
In 1) d = square root of (11-8)^2 + (12-8)^2 d = 5
In 2) d = square root of (9+6)^2 + (3+2)^2 d = 5 square root of 10 d = 15.81
Answer:
1.
option B is correct
2.
Option A is correct.
Step-by-step explanation:
Using distance formula:
1.
Given the points:
(8, 8) and (12, 11)
then;
Therefore, the distance between the two points is, 5 units.
2.
Given the points:
(-2, -6) and (3, 9)
then;
Therefore, the distance between the two points is, 15.8 units
Answers
Answer:
159
Step-by-step explanation:
-4+91=87
87+72=159
Answer:
159
Step-by-step explanation:
[9 4] x= [-9 -6]
[2 1] [-1 -8]
A. [5 -26]
[9 -60]
B. [-5 26]
[-1 -8]
C. [-5 26]
[9 -60]
D. [9 26]
[9 1]
solve the system
{ 2x +y - 4z = -30
{ 3x + 2y +2z =-8
{5x + 5y + z = -26
A. (-30,-8,-26)
B.(4,-2,4)
C. (-4,-2,4)
D.(-4,2,-4)
Answers
Find the determinant;
9*1- 2*4= 1
Inverse of the matrix;
1(
Pre-multiplying the matrix by the inverse on both the left hand side and the right hand side gives the answer above.
Answers
Step-by-step explanation:
(i)
-2/5 = -4/10 = -6/15 = -8/20
(ii)
3/7 = 6/14 = 9/21 = 12/28
we simply multiply top and bottom (numerator and denominator) by the same number.