The answer is b. There is a proof, but it is easily got by proving the other cases wrong.
My answer-
Simplifying
5x + -14 = 8x + 4 Reorder the terms:
-14 + 5x = 8x + 4
Reorder the terms:
-14 + 5x = 4 + 8x Solving
-14 + 5x = 4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x
-14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0
-14 + -3x = 4 + 0
-14 + -3x = 4
Add '14' to each side of the equation.
-14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0
0 + -3x = 4 + 14
-3x = 4 + 14 Combine like terms: 4 + 14 = 18
-3x = 18 <span>
Divide each side by '-3'.
x = -6
Simplifying
x = -6
If you need anything else on brainly let me know :)</span>
I believe it’s that they made it a democracy :) hope this helps !
Let the two numbers be x and y.
According to your question;
x + y = 7
10y + x = 10x + y + 9
By equation 1 ; x = 7-y
Substituting the value of x ;
10y + ( 7 -y) = 10(7-y) + y + 9
9y + 7 = 70 -10y + y + 9
9y + 7 = 70 - 9y + 9
=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4
Substituting for x ;
x = 7 - y
=> x = 7 -4
=> x = 3
Thus, x = 3 and y = 4;
=> The number is 34.
Answer:
17. z=39/sin45=![78/\sqrt{2}](https://tex.z-dn.net/?f=78%2F%5Csqrt%7B2%7D)
y=39/tan60=![39/\sqrt{3}](https://tex.z-dn.net/?f=39%2F%5Csqrt%7B3%7D)
x=y/sin60=![78/\sqrt{3}](https://tex.z-dn.net/?f=78%2F%5Csqrt%7B3%7D)
19. x=
=6
y=2x=12
z=![\sqrt{2}y=12\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7Dy%3D12%5Csqrt%7B2%7D)
Step-by-step explanation:
17.
because:sin45=39/z
so: z=39/sin45=![78/\sqrt{2}](https://tex.z-dn.net/?f=78%2F%5Csqrt%7B2%7D)
then: tan60=39/y
so: y=39/tan60=![39/\sqrt{3}](https://tex.z-dn.net/?f=39%2F%5Csqrt%7B3%7D)
last: sin60=y/x
so: x=y/sin60=![78/\sqrt{3}](https://tex.z-dn.net/?f=78%2F%5Csqrt%7B3%7D)
19.
because: tan60=
/x
so: x=
=6
then: sin30=x/y
so: y=x*sin30=2x=12
last: sin45=y/z
so: z=sin45*y=![\sqrt{2}y=12\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7Dy%3D12%5Csqrt%7B2%7D)