The system of equations y = –2x + 1 and y = x + 5 is shown on the graph below. which statement is true about the solution to the system of equations?
a. the x-value is between –1 and –2, and the y-value is between 3 and 4.
b. the x-value is between 3 and 4 , and the y-value is between –1 and –2.
c. the x-value is between 1 and 2, and the y-value is between –3 and –4.
d. the x-value is between –3 and –4, and the y-value is between 1 and 2.

the answer is a

Step-by-step explanation:

y = -2x +1

y = x + 5

-2x+1=x+5

-3x = 4

x= -4/3

y = -1 1/3 + 5= 3 2/3

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.

3.how is solving radical equations different than solving linear equations?

step-by-step explanation: