Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form 
where 
affects how "fat" or "skinny" the parabola is and 
is the vertex. Therefore, the vertex is 
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as 
for a parabola with a vertical axis. Hence, the axis of symmetry is 
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is 
.
The interval where the function is decreasing is 
The interval where the function is increasing is 
Answer:
area of circle having radius 3
is πr²=π*3²=9π square units
area of circle having radius 2
=πr²=π×2²=4π square units
again
area of big circle having radius [3+2]=5 units
=πr²=π×5²=25π square units
Now
<u>area</u><u> </u><u>of</u><u> </u><u>shaded</u><u> </u><u>region</u><u>=</u><u>2</u><u>5</u><u>π</u><u>-</u><u>4</u><u>π</u><u>-</u><u>9</u><u>π</u><u>=</u><u>1</u><u>2</u><u>π</u><u> </u><u>or</u><u> </u><u>3</u><u>7</u><u>.</u><u>7</u><u>s</u><u>q</u><u>u</u><u>a</u><u>r</u><u>e</u><u> </u><u>units</u><u>.</u>
The value of the logarithm of ln(121) is <span>
4.7958 </span>Rounding <span>the answer to the nearest ten thousandth</span>
