Answer:
Step-by-step explanation:
The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:
L = "length is"
2W is "twice the width"
5 inches shorter is " - 5". Putting it all together:
L = 2W - 5. Now we can fill in the perimeter formula:
68 = 2W + 2(2W - 5) and
68 = 2W + 4W - 10 and
68 = 6W - 10 and
78 = 6W so
W = 13. The width is 13 inches and the length is
L = 2(13) - 5 so the length is
L = 21 inches.
 
        
             
        
        
        
3/4 is equivalent to 6/8, 9/12, 12/16 and so on
3/4 * 2= 6/8
All you are doing is multiplying by 2, You can multiply any fraction with 2 or more to get the equivalent fraction to it.
        
             
        
        
        
In this right triangle, you are given the measurements for the hypotenuse, c, and one leg, b. The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.
 
        
             
        
        
        
If you let the width be x, then the length will be 2x + 3. The perimeter P is
twice the width plus twice the length, i.e.,
P = 2*x + 2*(2x + 3) = 2x + 4x + 6 = 6x + 6.
So if the perimeter is 66 cm then 66 = 6x + 6 ---> 6x = 60 ---> x = 10 cm.,
and so if the perimeter is at most 66 cm., the width can be at most 10 cm..
        
                    
             
        
        
        
Answer:
a = -6/5
Step-by-step explanation:
For the graphs to be parallel the graphs should have same slope(m)
So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this, 
 
 
This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

so if we compare it with y = mx + b the coefficient of x is m and hence 
m= -2/5 now solving for equation 2

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

we equation both the slope to each other to find the value of a like this,

so the value of a equals 
a= -6/5