The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
Read more about factorization at; brainly.com/question/11000698
The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.
Step-by-step explanation:
Equation of line:

where m is the slope
and c is the y-intercept (the value of y when x = 0)
In this case, given the slope = 1/4
and y-intercept is 8 (from the point (0,8))
The equation of the following line is:

When you have this type of problem, you need to combine the like-terms and isolate the variable.
3x + 122 = 22x - 11
Add 11 to both sides to get rid of it
3x + 122 + 11 = 22x - 11 + 11 (-11 + 11=0)
3x + 133 = 22x
Then you would bring the 3x to the other side, so subtract 3x from both sides
3x + 133 = 22x
-3x -3x
133 = 22x - 3x
133 = 19x
Then divide both sides by 19 to isolate x
133/19 = 19x/19
133/19 = 7, so x = 7
Hope this helps!!
Answer:
44664.59503
Step-by-step explanation:
Hello,
In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".
In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)
P = 2.78×10¹¹
Q = 3.12×10⁻³
p / q = 2.78×10¹¹ / 3.12×10⁻³
p / q = 8.91×10¹³
The 3 radical = 3√(8.91×10¹³)
3√(p/q) = 44664.59503
Answer:
69.08cm
Step-by-step explanation:
The formula for the circumference is
pi times diameter=circumference
Since we are using 3.14 and we know the diameter we can plug that in
3.14 times 22= circumference
69.08=circumference