Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...
Answer:
1/2
Step-by-step explanation:
y=1/2x
1/2 is constant
Answer:
The equation of the line would be y = -15/24x + 6
Step-by-step explanation:
In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 7/2)/(-8 - 4)
m = (15/2)/-12
m = 15/-24
m = -15/24
Now that we have the slope, we can use that and either point to find the equation in point-slope form.
y - y1 = m(x - x1)
y - 11 = -15/24(x + 8)
y - 11 = -15/24x - 5
y = -15/24x + 6
Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
17 - (3x + 5) = 3x - 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: 17 - 3x - 5 = 3x - 6
- Add 3x on both sides: 17 - 5 = 6x - 6
- Combine like terms: 12 = 6x - 6
- Isolate <em>x</em> term: 18 = 6x
- Isolate <em>x</em>: 3 = x
- Rewrite: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 17 - (3(3) + 5) = 3(3) - 6
- Multiply: 17 - (9 + 5) = 9 - 6
- Add: 17 - 14 = 9 - 6
- Subtract: 3 = 3
Here we see that 3 does indeed equal 3.
∴ x = 3 is the solution to the equation.
Answer:
3.
Step-by-step explanation:
sin 32 / (1 + tan 45) * 6 / cos 58
= sin 32 / 2 * 6 / cos 58 ( since tan 45 = 1)
= 3 sin 32 / cos 58
Note sine 32 = cos (90 - 32) = cos 58, so we have:
= 3 sin 32 / sin 32
= 3.
