First you expand the brackets:
3x - 27 = 30
And then you can solve:
3x - 27 = 30
+ 27
3x = 57
÷ 3
x = 19
Hope this helps!
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
Answer:

Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):

m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be:

Answer:
Step-by-step explanation:
Answer:
(4, 5/3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x + 3y = 9
2x - 3y = 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: 3x = 12
- Divide 3 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: x + 3y = 9
- Substitute in <em>x</em>: 4 + 3y = 9
- Isolate <em>y</em> term: 3y = 5
- Isolate <em>y</em>: y = 5/3
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>