Answer:
( -3/2 , 3)
Step-by-step explanation:
midpoint of segment: (x , y) : ((x + x') / 2 , (y + y') /2)
x = (3 + (-6)) / 2 = -3/2
y = (5 + 1) / 2 = 3
Answer:
13 minutes 30 seconds.
Step-by-step explanation:
You just divide 10.8 by 0.8...
10.8÷0.8=13.5
Question:
The parallelogram shown below has an area of 40 units squared.
Find the missing base.
Answer:
See Explanation Below
Step-by-step explanation:
The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.
However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.
The area of a parallelogram is calculated as thus.
Area = Base * Height
Given that the area = 40 units²
Let's assume the height of the parallelogram is 10 unit.
All you need to do is to plug in these values in the formula above..
Area = Base * Height becomes
40 = Base * 10
Divide both sides by 10
40/10 = Base * 10/10
4 = Base
Hence, Base = 4 units
Or take for instance the height is 5 units.
You'll still follow the simple steps as it is above.
Area = Base * Height becomes
40 = Base * 5
Divide both sides by 5
40/5 = Base * 5/5
8 = Base
Hence, Base = 8 units
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
Answer: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
