Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
6b<42
b<7
4b+12>8
4b>-4
b>-1
b>-1 or b<7
Answer:
100³ or 1000000 or 10^6
Step-by-step explanation:
(4³)(5^6)
(20³)(5³)
(20×5)³
100³
The answer is D) 19
each full cup is worth 3 servings so 6 X 3 = 18 + 1 = 19
Answer:
1. 105°
2. 85°
3. 80°
4. 148°
5. 116°
6. 82°
7. 135°
8. x = 7
9. x = 2
10. x = 1
11. x = 10
Step-by-step explanation:
1. Arc WZ = Arc XY
Arc WZ = 105° Therefore Arc XY = 105°
2. Arc SR = Arc TU
Arc SR = 85° Therefore Arc TU = 85°
3. Arc PQ = Arc QR
Arc PQR = 40° + 40°
Arc PQR = 80°
4. Arc RT = 64°
x = (360° - 64°)/2
x = 296°/2
x = 148°
5. x = 116°
If the chords are congruent to each other, then the arcs are also congruent to each other.
6. x = 82°
If the chords are congruent to each other, then the arcs are also congruent to each other.
7. Arc BC = 90°
x = (360° - 90°)/2
x = 270°/2
x = 135°
8. 2x + 4 = 18
2x = 18 - 4

x = 7
9. 2x + 1 = 5x - 5
2x - 5x = -5 - 1

x = 2
10. 3x + 16 = 12x + 7
3x - 12x = 7 - 16

x = 1
11. 3x - 11 = x + 9
3x - x = 9 + 11

x = 10