Answer:
The answer to your question is:
Step-by-step explanation:
12.-
x² - 6x = 5
x² - 6x + (3)² = 5 + (3)²
x² - 6x + 9 = 5 + 9
(x - 3)² = 14
13.- x² - 6x = 12
x² - 6x + (3)² = 12 + (3)²
x² - 6x + 9 = 12 + 9
(x - 3)² = 21
x - 3 = ±√21
x1 = √21 + 3 x2 = -√21 + 3
x1 = 7.58 x2 = -1.58
14.- 2x² - 24x = - 20 Divide by 2
x² - 12 x = -10
x² - 12x + (6)² = - 10 + (6)²
x² - 12x + 36 = - 10 + 36
( x - 6) ² = 26
x - 6 = ±√26
x1 = √26 + 6 x2 = -√26 + 6
x1 = 11.1 x2 = 0.9
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle is equal to pi × r^2. In this case, they have asked that you substitute 3.14 or 22/7 for pi, so I will be using 22/7, instead.
Diameter is equal to 2r; to find the radius, simply divide 28 by two. This gives us a radius of 14.
Multiply 14 squared by 22/7:
(22/7)(14^2)
This gives us (22/7)(196); (4312/7); 616.
Therefore, the area of the circle is approximately 616 square centimeters.
Answer:
(0, 207)
Step-by-step explanation:
We calculate y-intercept by substituting 0 for x.
The equation becomes:
3*62-6*(0)+21=207
y intercept is (0, 207)
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x+x+3=18
(4x+x)+(3)=18(Combine Like Terms)
5x+3=18
5x+3=18
Step 2: Subtract 3 from both sides.
5x+3−3=18−3
5x=15
Step 3: Divide both sides by 5.
5x/5 = 15/5
x=3
Answer:
$9
Step-by-step explanation:
'Jonathan and 5 friends' would equal <u>6 people paying</u>
Since the total amount was 54 dollars, the equation will be:
$54 ÷ 6 friends
54 divided by 6 is $9
Check:
6 x 9 = 54
