Answer:
=3
=2
Step-by-step explanation:
12−5+6=0
using the Quadratic Formula where
a = 1, b = -5, and c = 6
=−±2−4‾‾‾‾‾‾‾‾√2
=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)
=5±25−24‾‾‾‾‾‾‾√2
=5±1‾√2
The discriminant 2−4>0
so, there are two real roots.
Simplify the Radical:
=5±12
=62=42
which becomes
=3
=2
hope this helps :)
 
        
             
        
        
        
Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

Now,
Putting,
left = 25, altitude = 60 and right = x we get,

or,  [ by cross multiplication]
 [ by cross multiplication]
or, 
or, 
Hence,
The value of x is 144.
 
        
                    
             
        
        
        
Answer:
Volume of rectangular prism = 
Step-by-step explanation:
Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.
To find volume of rectangular prism.
Solution:
Volume of rectangular prism is = 
We know that all sides of a cube are equal in measure.
So, we will count the number of cubes on each side to get the exact measure.
Length side = 4 cubes = 5 cm
Width side = 2 cubes = 2 cm
Height side = 2 cubes = 2 cm
Thus volume of rectangular prism =  
Volume of rectangular prism = 
 
        
             
        
        
        
Answer: Second Choice. (3, 3)
Step-by-step explanation:
<u>Given point</u>
(x, y) = (-3, 5)
<u>Given the rule for application</u>
(-x, y - 2)
<u>Determine the new x-value</u>
x = -3
-x = - (-3) = 3
<u>Determine the new y-value</u>
y = 5
y - 2 = (5) - 2 = 3
Therefore, the result is 
Hope this helps!! :)
Please let me know if you have any questions