Answer:
-2s + 4
General Formulas and Concepts:
Step-by-step explanation:
<u>Step 1: Define expression</u>
(s + 12) + (-3s - 8)
<u>Step 2: Simplify</u>
- Combine like terms (s): -2s + 12 - 8
- Combine like terms (constants): -2s + 4
Use the slope formula y2-y1/x2-x1
3-(-7)/1-(-1) = 10/2 = 5
To find the y-intercept:
y=5x+b
3=5(1)+b
3 = 5+b
-5 -5
-2=b
The equation of the line that passes through (-1,-7) and (1,3) is
y=5x-2
Answer:
D 36
Step-by-step explanation:
<em>Write the information algebraically</em>
c = 3a
c + a = 48
c = children, a = adults
<em>In the second sentence (in bold), we can replace c with 3a</em>
c + a = 48 → 3a + a = 48
<em>Simplify</em>
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
<em>We can then substitute or plug in a = 12 into the original equation:</em>
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
<h3>There are 36 children</h3>
Answer:
1. 23.0 cm
2. 21.0 ft
3. 31.0 yd
Step-by-step explanation:
1. 30/sin110 = RT/sin46
RT = sin46 × 30/sin110
RT = 22.96516279
2. Angle A = 180 - 61 - 53 = 66°
24/sin66 = AB/sin53
AB = sin53 × 24/sin66
AB = 20.98116966
3. 18/sin28 = HP/sin54
HP = sin54 × 18/sin28
HP = 31.01850475
