Answer: the lines are parallel to each other
Step-by-step explanation:
First, what we can do is solve both equations for y, putting them in slope-intercept form, y = mx + b:
2y = 8x + 6 3y = 12x - 3
/ 2 / 2 / 3 / 3
y = 8x/2 + 6/2 y = 12x/3 - 3/3
y = 4x + 3 y = 4x - 1
For both equations, m = 4, or they have the same slope of 4. Lines that have the same slope are parallel to each other.
I hope this helps! :)
Answer:
Yes, letter D is correct.
Step-by-step explanation:
The shape is a trapezoid so you'll have two congruent pairs of base angles.
The length of the diagonal of the rectangle is d = 2
The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as ABCD
Now , the diagonal of the rectangle is AC and BD
The measure of AC = 2 ( 5a + 1 )
And , the measure of BD = 2 ( a + 1 )
For a diagonal of a rectangle ,
The two diagonals of the rectangle will be same
So , the measure of AC = measure of BD
Substituting the values in the equation , we get
2 ( 5a + 1 ) = 2 ( a + 1 )
On simplifying the equation , we get
Divide by 2 on both sides of the equation , we get
5a + 1 = a + 1
Subtracting a on both sides of the equation , we get
4a + 1 = 1
Subtracting 1 on both sides of the equation , we get
4a = 0
a = 0
Now , substitute the value of a in measure of AC , we get
The measure of diagonal AC = 2 ( 5 ( 0 ) + 1 )
The measure of diagonal AC = 2
Hence , the measure of diagonals of the rectangle = 2
To learn more about diagonal of rectangle click :
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Answer:
10000
Step-by-step explanation:
Given : Number :204.75
Number :103.52
To Find:The value of the 2 in 204.75 is how many times the value of the 2 in 103.52?
Solution:
Number :204.75
Value of 2 is 200
Number :103.52
Value of 2 =
So,
Thus 10000 times of 0.02 is 200.
So, the value of the 2 in 204.75 is 10000 times the value of the 2 in 103.52.
What is the volume of the cone?
A)240 cubic units
B)321 cubic units
C)48X cubic units
D)647 cubic units
Answer: cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:
Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:
Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:
Answer:
b. 32
Step-by-step explanation:
e2020 says so