It is understood without being written that the slope of this line is 1. If we rewrite the point-slope form of the line it would be y-8=1(x-4) where 1 is the slope. We move the -8 over by addition to get y = 1x-4+8, or, simplified, y=x+4, the first choice in your answers.
Problem # 1
3w-10=4w+5
(3w-10) + (10-4w) = (4w+5) + (10-4w)
(3w-10) + (-4w+10) = (4w+5) + (-4w +10)
3w-10-4w+10 = 4w +5 -4w +10
3w-4w=15
-w=15
w= -15 (w is negative 15)
problem #2.
6-2t > 18
6-2t-6 > 18-6
-2t > 12
(-1) (-2t) > 12 (-1)
2t > -12
next divide by 2
2t/2 > -12/2
t > -6 (t is greater then negative 6)
Answer:
x = 29°
y = 29°
z = 102°
Step-by-step explanation:
x and y both look even to the 29° angle across from them and z looks even to the 102° angle across from it.
Step One
Find the fraction left.
Starting amount = 7/8 pound
Used amount = 1/7 of a pound.
The common denominator of these two fractions is 8 * 7 = 56
Amount left = amount started with - amount used
Amount left = 7/8 - 1/7
Amount left =

Amount left =

Amount left = 41 / 56 pounds
Step Two
Convert the Answer to ounces.
Ounces = (41/56) * 16
Ounces = 11.71 ounces almost 11 3/4