What is the solution to the following inequality X/-2 > 5
Answers
Answer:
x < -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
Step 1: Define
Identify
x/-2 > 5
Step 2: Solve for x
- [Multiplication Property of Equality] Multiply -2 on both sides: x < -10
x > - 10
Solve forx
common denominator is 2
➪ - x > 2 × 5
➪ - x > 10
multiply by - 1
➪ - x × - 1 > 10 × - 1
x > - 10
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Answers
Answer:
L1 and L2 are skew
Step-by-step explanation:
Since the equation of the line is
L1:x=9+6t,y=12-3t,z=3+9t
L2:x=4+16s, y=12-8s, z=16+20s
then if they intersect each other , they will have both in that point P=(xp , yp ,zp) then
1)9+6t = 4+16s
2) 12-3t =2-8s
3) 3+9t = 16+20s
adding 2*2) to 1)
9+6*t + 24-6t = 4+16*s + 4-16*s
33 = 8
since this is not possible , the error comes from our assumption that the lines intersect each other
then they are skew or parallel. They are parallel if their corresponding vectors are parallel , that is
L1 (x,y,z) = (9,12,3) + (6,-3,9)*t
L1 (x,y,z) = (4,2,16) + (16,-8,20)*t
then if they are parallel
(16,-8,20)= k*(6,-3,9)
16=6*k
-8 = -3*k
20= 9*k
since there is no k that satisfy for x , y and z simultaneously then L1 and L2 are not parallel
therefore L1 and L2 are skew
Final answer:
The lines L1 and L2 are neither parallel nor intersecting. Upon comparing their direction vectors and attempting to find a common solution, it is determined that they are skew.
Explanation:
In order to determine whether two lines in three dimensions are parallel, skew, or intersecting, we compare their direction vectors. The given lines L1 and L2 are in the form of parametric equations. The direction vectors for the lines are d1 = <6, -3, 9> for L1 and d2 = <16, -8, 20> for L2. To determine if they are parallel, we check if there is a constant ratio between the corresponding terms. This isn't the case here, so the lines are not parallel.
For skew lines, they neither intersect or are parallel. Since we have already confirmed the lines are not parallel, to confirm if they are skew we must try to find a common solution (point of intersection). If we cannot, then they are skew. However, solving the equations does not give a common solution, so they do not intersect either. Hence, the lines are skew.
Learn more about Analysis of Lines in 3D here:
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Answers
The product of the numbers are 36r and 32s.
What is product?
When we multiply two numbers the resultant is called their product.
Given that, what can be the products of 6 and 6r and 8s and 4
a) 6 and 6r =
We can write it as =
6 x 6 x r
now multiply the numeric parts,
36 x r
= 36r
Similarly,
b) 8s and 4 =
We can write it as,
8 x s x 4
= 8 x 4 x s
now multiply the numeric parts,
= 32 x s
= 32s
Hence, the products are 36r and 32s.
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6 x 6r = 36r
8s x 4 = 32s
We don’t have a number value to substitute in for r or s, so we just leave those variables as they are.
LMK if you have questions
Answers
The solution to the equation 15.6 + (-1.8) is 13.8.
The equation to solve is 15.6 + (-1.8).
First, add the two numbers: 15.6 + (-1.8) = 13.8.
The result is 13.8.
In this equation, you're adding a positive value (15.6) and a negative value (-1.8), which results in a smaller positive value. When you add a positive number and a negative number, you can think of it as moving to the right on the number line (positive direction) but not as far as you would if you were only considering the positive value.
So, the solution to the equation 15.6 + (-1.8) is 13.8.
To know more about equation:
Since +(-) becomes (-) we can write the given problem as
15.6-1.8
Subtraction gives us 13.8
:)
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answers
Answer:
bb
b
b
b
b
b
b
b
b
b
b
b
b
b
it is b
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answers
The area of the circle will be found as follows:
the fraction of the sector=15/360=1/24
the area of the circle will be:
area=(fraction of the circle)/(fraction of the sector)*(area of the sector)
=1/(1/24)×11.9
=285.6 m²
Answers
The angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
Volume of a cone
The formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where
r is the radius
h is the height
Given the following
volume = 60
radius = 2
h = r tanβ
Substitute
V = 1/3πr²(r tanβ)
Substitute
60 = 1/3(3.14)(2)³tanβ
180 = 25.12tanβ
tanβ = 180/25.12
β = 82.05 degrees
Hence the angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
Learn more on volume of cone here: brainly.com/question/13677400
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V volume = 60
r radius = 2
h = r tanβ