Answer:
x = 5
Step-by-step explanation:
vertical angles are congruent , so
∠ A = ∠ B , that is
5x - 1 = 4x + 4 ( subtract 4x from both sides )
x - 1 = 4 ( add 1 to both sides )
x = 5
Answer:
a = -2
b = 1
c = 5
Step-by-step explanation:
Given:
2a + 4b + c = 5 ............(1)
a - 4b = - 6
or
a = 4b - 6 .............(2)
2b + c = 7
or
c = 7 - 2b ...........(3)
substituting 2 and 3 in 1, we get
2(4b - 6 ) + 4b + (7 - 2b) = 5
or
8b - 12 + 4b + 7 - 2b = 5
or
10b - 5 = 5
or
b = 1
substituting b in 2, we get
a = 4(1) - 6
or
a = -2
substituting b in 3, we get
c = 7 - 2(1)
or
c = 5
thus,
a = -2
b = 1
c = 5
Answer:
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] -5x - 4y = -12
<u>Step 2: Rewrite</u>
- Add 5x to both sides: -4y = 5x - 12
- Divide -4 on both sides: y = -5/4x + 3
<u>Step 3: Identify</u>
<em>Break apart the function.</em>
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
Division expression for fraction 5/4 for is 4 divided by 4 which is .8
Mx - y
5 times 3 - 8
15 - 8
=
7
