Answer:
4.(a) y = -2x + 5
Step-by-step explanation:
 
        
             
        
        
        
Answer: HI = √97
Step-by-step explanation:
 
        
             
        
        
        
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem ( ) to solve for the height of the house, in which we shall name it x.
) to solve for the height of the house, in which we shall name it x.
So, the equation is  .
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!
 
        
                    
             
        
        
        
Given,
The expression is,

If x- 3 is the factor of the given polynomial function, then on substituting the value of x = 3 in the polynomial function, it become zero.
Thus subsituting the value of x in the polynomial,

Here, the obtained value of polynomial is 0.
Hence, x-3 is a factor of the given polynomial.
Thus, option A(true) is correct.
 
        
             
        
        
        
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy. 
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio. 
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy. 
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔


Cross multiply


Divide both sides by 2 to make EH the subject of formula


The length of side EH = 12 m