Complete the equation so it has infinitely many solutions. 4x + 7 = 4(x + 3) –

The completed equation must be 4x + 7 = 4(x + 3) – 5

Step-by-step explanation:

For this equation to have infinitely many solutions, we must solve for x and reach a point where we have "0x = 0".

Notice that, x = ... -2, -1, 0, 1, 2 ... are all solutions of "0x = 0".

We will call the missing term "t", then the given equations is...

4x + 7 = 4(x + 3) – t

We distribute 4 over the parentheses on right side...

4x + 7 = 4x + 12 – t

We substract 7 on both sides...

4x + 7 - 7 = 4x + 12 – t - 7

4x = 4x + 5 – t

We substract 4x on both sides...

4x - 4x = 4x + 5 – t  - 4x

0x = 5 - t

As state above, this equation will have infinitely many solutions if the right side is 0...

5 - t = 0

5 = t

The answer is 5.

Step-by-step explanation: Did it on Edge, hope this helps :D

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.