X = small boxes and y = large boxes
x + y = 17.....x = 17 - y
3x + 14y = 183
3(17 - y) + 14y = 183
51 - 3y + 14y = 183
-3y + 14y = 183 - 51
11y = 132
y = 132/11
y = 12 <=== large boxes (y) cost $ 12
x + y = 17
x + 12 = 17
x = 17 - 12
x = 5 <=== small boxes (x) cost $ 5
(x+9)^2+(y+4)^2=0
Because the radius is not given.
Answer:
9*(6+7)
Step-by-step explanation:
First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.
Factors of 54
1,2,3,6,9,18,27,54
Factors of 63
1,3,7,9,21,63
The GCF is 9 because is the greatest factor that is common to both numbers.
Now we have to divide 54/9 and 63/9
54/9 = 6
63/9 = 7
So now we can write the product of the GCF and another sum:
9*(6+7)
<em>We can prove this by solving both expressions:</em>
<em>54+63 = 9*(6+7)</em>
<em>117 = 9*13</em>
<em>117 = 117 </em>
<em>The results are equal so we prove it is right.</em>
Answer:
A
Step-by-step explanation:
Given
u = <6, -1>
u = 6i-j
and
v=<7,-4>
v=7i-4j
The formula for angle is:
Let x be the angle

where ||u|| is the length and u.v is the dot product or scalar product of both vectors
So,



The calculated angle will be in radians. To find the angle in degrees:

Hence Option A is correct ..