Answer:
x=9,-1 and 
Explanation:
We are given the quadratic equation 
, which we then compare with the standard form of a quadratic. The general quadratic is identified as 
. From our given equation, it follows that a=1,b=-8,c=-9
. To calculate the discriminant, we insert these values into the formula 
. Now, to find the value of x
The formula is 
. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of
.
Answer:
3) A line has one dimension, length. (True)
5) A plane is made up of an infinite collection of lines. (True)
Explanation:
Geometry has three undefined terms:
a) point
b) line
c) plane
Examining the given statements:
1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.
2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.
3) A line has exactly one dimension, which is its length. (True)
4) A point consists of countless lines — this is false; actually, a line consists of infinite points.
5) A plane consists of an unending set of lines. (True)
Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.
Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.
Response:
6 servings.
Detailed explanation:
To determine this, divide 3/4 by 1/8, here are the steps:
3/4 divided by 1/8
3/4 times 8/1
(3 × 8 = 24); (4 × 1 = 4)
24 divided by 4 results in 6.
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