So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:
Next, now that we have the value of y, substitute it into either equation to solve for x:
<u>And this is how you get your final answer (5,2).</u>
Answer:
12
Step-by-step explanation:
1/3 of 12 = 4
1/4 of 12 = 3
4 is 1 more than 3.
The number is 12.
_____
If this does not immediately come to mind, you can solve for the number, x:
x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1
x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)
x = 12 . . . . . . . . multiply by 12
Answer:
x = 18
m = 21.2
p = 31.8
Step-by-step explanation:
The ratio of the left-side length to the bottom-side length is the same for both triangles:
x/11.2 = (x +27)/28
28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28
16.8x = 302.4 . . . . . . . subtract 11.2x
x = 18 . . . . . . . . . . . . divide by 16.8
__
The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.
x^2 +11.2^2 = m^2
m = √(324 +125.44) = √449.44 = 21.2
__
The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...
p/27 = m/x
p = 27(21.2/18) = 31.8
The lengths of the unknown sides in the figure are ...
x = 18
m = 21.2
p = 31.8
Answer:
15.7 units
Step-by-step explanation:
AB = 6, BC = 3
Therefore by Pythagoras theorem
AC = 
The answer to the question is 12
