Answer:
B. There is no solution.
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>
y = x + 9x + 5
y = -x + 11x + 29
<u>Step 2: Simplify systems</u>
y = 10x + 5
y = 10x + 29
<u>Step 3: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 10x + 5 = 10x + 29
- Subtract 10x on both sides: 5 ≠ 29
Here we see that 5 does not equal 29.
∴ The systems has no solutions.
<u>Step 4: Graph systems</u>
<em>Check the solution set (if applicable).</em>
We see that the 2 lines are parallel and will never intersect. Therefore, this proves that our systems has no solution.
Example :
x y
1 3
2 6
3 9
4 12
first thing u do is pick any 2 points (x,y) from ur table
(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3
now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b
so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct
and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
Answer:
340
Step-by-step explanation:
Answer:
1) isosceles triangle
2) 4500cm^2 or 0.45 m^2
3) 55 degrees
4) Angle SUT
5) Triangle Inequality Theorem - the sum of two side lengths of a triangle is always greater than the third side. If 8 cm is your third side, then the triangle could be constructed because 9 + 5.5 > 8.
6) SAS - Side Angle Side
Step-by-step explanation:
Answer is
<span>C) y = -2x + 3 </span>
when x = 0, y = 3
when x = 1, y = -2(1) + 3 = -2 + 3 = 1
when x = 2, y = -2(2) + 3 = -4 + 3 = -1
solutions matched the table above
