So firstly, you want to set your equation to zero. You can do this by subtracting 40 on both sides of the equation.
Now, what two numbers add up to 6x and multiply to -40x^2? 10x and -4x. With this info, replace 6x with 10x and -4x:
Next, factor x^2-4x and 10x-40 separately. Make sure that what's inside the parentheses is the same:
Now you can rewrite the equation as:
Now using Zero Product Property, solve for x:
In short, x = -10 and 4.
Hey there! I'm happy to help!
This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).
Our radius is 3cm.
3
We square it.
3²=9
Multiply by 3.14.
9×3.14=28.26
Now that we have our circle base area, we multiply it by the height (7 cm).
28.26×7= 197.82
This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.
197.82/2=98.91
We can also multiply our circle base by 3.5, which will give us half of the full height.
So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.
Have a wonderful day and keep on learning! :D
Answer:
Option c is correct
226 feet is the maximum height of the projectile.
Step-by-step explanation:
A quadratic equation , ....[1]
then the axis of symmetry is given by:
As per the statement:
The path of the projectile is modeled using the equation :
....[2]
where, h(t) is the height after t time.
On comparing with [1] we have;
a = -16 and b = 48
then;
sec
Substitute this in [2] we have;
⇒
Simplify:
Therefore, the maximum height of the projectile at 1.5 sec is, 226 feet.
Answer:
90
Step-by-step explanation:
Angle 2 = 180 - 68 = 112
Angle 3 = 90 - 68 = 22
Angle 2 - Angle 3 = 112 - 22 = 90
Answer:
Red Line: y= 2x+5
Green Line: y= -2
Yellow Line: y= -3x+5
Black Line: y= 2x-6
Blue Line: x= 5
Step-by-step explanation:
Slope Formula
m=y2-y1/x2-x1
m= slope
Red:
(0,5), (-3,-1)
5 - -1/ 0 - -3
6/3
m=2
y=2x+5
Green:
y=-2
Y value is always 0 no matter what x is equal to.
Yellow:
(0,5), (2, -1)
m= -1 -5/ 2-0
m= -6/2
m= -3
y= -3x+5
Black:
(2, -2), (5, 4)
m= 4- -2/ 5-2
m= 6/3
m= 2
y=mx+b
-2=(2)(2)+b
-2=4+b
-6=b
y=2x-6
Blue:
x=5
X is always 5 no matter what the y value is.