Answer:
I'm not sure what your asking, but, no, all rectangles are parallelograms.
I found this over the internet, and I hope it helps you understand why a rectangle is always a parallelogram, but a parallelogram is not always a rectangle:
It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.
Answer:
Usually the angles are measured from quadrant 1, where is the angle 0°.
If the angle moves counterclokwise, it is positive, if the angles goes clokwise, it is negative.
Then "On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 4."
Will give a positive angle, and because we know that is in quadrant 4, the angle can be any angle between 270° and 360°
"On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 2."
Same as before, this will create an angle with a positive measure, and the angle will be between 90° and 180°
Answer:
h=6
Step-by-step explanation:
since
is an equation for a line which intersects with the curve
. The point of intersection, let's say
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,
![3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1](https://tex.z-dn.net/?f=3y%5E2%20%3D%203%28hx-2%29%5E2%20%3D%209x%5E2%20-%206x%20%2B1%5C%5C3%28h%5E2x%5E2%20-4hx%20%2B%204%29%20%3D%209x%5E2%20-%206x%20%2B%201%5C%5C3h%5E2%20x%5E2%20-12hx%20%2B12%20%3D%209x%5E2%20-%206x%20%2B1)
therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.
![b^2 -4ac =0](https://tex.z-dn.net/?f=b%5E2%20-4ac%20%3D0)
where
and
, as a result, the following equations can be deduced,
![(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 ) -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0](https://tex.z-dn.net/?f=%2812h-6%29%5E2%20-%204%2A%289-3h%5E2%29%2A%28-11%29%20%3D%20%28144h%5E2%20-144h%20%2B36%29%20-%20%2836%20-12h%5E2%29%2A%28-11%29%3D%5C%5C%28144-%28-12%29%2A%28-11%29h%5E2%20%29%20%20-144h%20%2B36%20-%2836%2A%28-11%29%29%20%3D%5C%5C12%20h%5E2%20-144h%20%2B432%20%3D0)
therefore, dividing both sides by 12
![h^2 -12 +36 =0\\(h-6)^2 =0\\h=6](https://tex.z-dn.net/?f=h%5E2%20-12%20%2B36%20%3D0%5C%5C%28h-6%29%5E2%20%3D0%5C%5Ch%3D6)
Answer:
Step-by-step explanation:
they need 8250
they have raised 3120
they still need 8250 - 3120 = 5130
so if each member has to raise the same amount of money, they must still raise
5130/75 = $68.4 per each member
Answer:
The number is 6
Step-by-step explanation:
Given:
A number tripled and 6 is 24
To Find:
The Number = ?
Solution:
Let the number be x
The question states that the number is tripled. so lets multiply the number by 3, We get
3x
Then
3x + 6 = 24
On solving the equation we get
3x = 24 -6
3x = 18
![x = \frac{18}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B18%7D%7B3%7D)
x = 6