y=x+14 line 1
y=3x+2 line 2
These are both the equation of lines written in slope intercept form
y=mx+b where m is the slope and the point (0,b) is the y intercept.
The first line has a slope of m=1. The 2nd line has a slope of m=3
Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.
We already have y solved in terms of x from either equation so we can use substitution to solve the system.
Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.
x+14=3x+2
solve for x.
Subtract x from both sides...
14= 3x-x+2
14=2x+2
subtract 2 from both sides
14-2=2x
12=2x
divide both sides by 2
6=x
We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.
y=6+14
y=20
These two lines cross at the point (6,20) which is a point the two lines have in common.
Hope I helped (SharkieOwO)
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
Well, 1/3 is equal to 0.3, and 1/4 is equal to .25, so it can't be a.
3/4 is equal to .75 and 6/9 is equal to 0.6, so it can't be b.
5/8 is equal to 0.625 and 20/32 is also equal to 0.625, so it could be c.
7/9 is equal to 0.7 and 21/28 is equal to 0.75, so it can't be D.
Your best bet is C. Because both sides of C are equal.
C 5/8=20/32
Answer:
B 2124
D 1416
Step-by-step explanation:
Take the ratio
A B C D Total
3 6 8 4 21 (3+6+8+4 = 21)
B gets 6 out of every 21 items
Take that fraction times the total items
6/21 * 7434 = 2124
D gets 4 out of every 21 items
Take that fraction times the total items
4/21 * 7434 = 1416
