Answer:
a = -1
Step-by-step explanation:
Solve for a:
a + 2 = 4 a + 5
Subtract 4 a from both sides:
(a - 4 a) + 2 = (4 a - 4 a) + 5
a - 4 a = -3 a:
-3 a + 2 = (4 a - 4 a) + 5
4 a - 4 a = 0:
2 - 3 a = 5
Subtract 2 from both sides:
(2 - 2) - 3 a = 5 - 2
2 - 2 = 0:
-3 a = 5 - 2
5 - 2 = 3:
-3 a = 3
Divide both sides of -3 a = 3 by -3:
(-3 a)/(-3) = 3/(-3)
(-3)/(-3) = 1:
a = 3/(-3)
The gcd of 3 and -3 is 3, so 3/(-3) = (3×1)/(3 (-1)) = 3/3×1/(-1) = 1/(-1):
a = 1/(-1)
1/(-1) = -1:
Answer: a = -1
Answer:
y = -31/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 7
5x + 2 = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Define equation: 5x + 2 = 4
- Subtract 2 on both sides; 5x = 2
- Divide 5 on both sides: x = 2/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x - 7
- Substitute in <em>x</em>: y = 2(2/5) - 7
- Multiply: y = 4/5 - 7
- Subtract: y = -31/5
Answer:
20 ft
Step-by-step explanation:
The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.
SA = base area + lateral area
SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height
SA -b² = 2bs . . . . . subtract the base area
s = (SA -b²)/(2b) . . . . divide by the coefficient of s
Using the given values for surface area and base length, we find ...
s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet
The slant height of the pyramid is 20 feet.
-28-(-24)=-4
14-18=-4
28-32=-4
Any of these should work and there are plenty more that would work as well