The midpoint is represented as M and the value of x of the line is x = 4
Given data:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let V ( x₁ , y₁ ) be the first point
Let W ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
The points on the lines are represented by ( 4x - 1 ) and ( 3x + 3 )
So, the points are in same distance from V and W
And, 4x - 1 = 3x + 3
x = 4
Hence, the point x = 3
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What is the area of the garden in Plan A? (Type the numeric answer only
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
What is the rate of change in the table?
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
If the volume of the planter is 2,560 cubic inches,how tall is the planter
Answer:
Height of Planter = H = 20 in²
Step-by-step explanation:
As the planter is not given in the question, the question is incomplete.
First, lets complete the question by attaching the diagram related to this question.
(SEE THE ATTACHMENT)
Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.
The right angled triangle has a width of 16 inches and a heights of 16 inches as well.
We know that the Area of a triangle can be calculated by following formula:
[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]
Substitute the values to find Area:
[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]
We also know that the Volume of a triangular prism is given by:
[tex]Volume=(Area)\cdot(Height)[/tex]
Where
Area = Area of the face = 128 in²
Height = Height of the planter = H
Volume = 2560 in³
Substitute the values and solve for H:
[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]