Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
Hi there!
Using the formula - n-2*180 -, we know that the interior angles of a pentagon add up to 540. We can use the values we're given and add them together and set them all equal to 540, then solve.
WORK:
540 = 204 + 12x
336 = 12x
x = 28
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Doesn't it become like a reflection? For example instead of (3,1) it'll be (-3,-1) ?
Answer:
(-1, -2)
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>
-2x + y = 0
5x + 3y = -11
<u>Step 2: Rewrite Systems</u>
-2x + y = 0
- Add 2x on both sides: y = 2x
<u>Step 3: Redefine Systems</u>
y = 2x
5x + 3y = -11
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate <em>x</em>: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x
- Substitute in <em>x</em>: y = 2(-1)
- Multiply: y = -2
<u>Step 6: Graph Systems</u>
<em>Check the solution set.</em>
13 miles or you could say 13.3 miles