Answer:
Infinite amount of solutions.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Regular + Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
6y + 4 - 3y - 7 = 3(y - 1)
<u>Step 2: Solve for </u><em><u>y</u></em>
- Combine like terms: 3y - 3 = 3(y - 1)
- Distribute 3: 3y - 3 = 3y - 3
- Subtract 3y on both sides: -3 = -3
Here we see that there will be infinite amount of solutions. We can plug in any number <em>y</em> and it will render the equation true.
X=-2 is shown on the graph.
B because it can't be c or d and also it makes more sence
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>