<span>4|2x − 2| + 10 = 34
</span><span>4|2x − 2| + 10 - 10 = 34 - 10
</span><span>4|2x − 2| = 24
</span><span>|2x − 2| = 24/4 = 6
2x - 2 = 6 or 2x - 2 = -6
2x = 6 + 2 or 2x = -6 + 2
2x = 8 or 2x = -4
x = 8/2 or x = -4/2
x = 4 or x = -2
To check for extraneous solutions:
</span>For x = 4: <span>
4|2(4) − 2| + 10 = 34
4</span><span>|8 − 2| = 34 - 10 = 24
6 = 24/4 = 6 (solution is valid)
</span><span>For x = -2: <span>
4|2(-2) − 2| + 10 = 34
4</span><span>|-4 − 2| = 34 - 10 = 24
</span></span><span><span><span>|-6| = </span>6 = 24/4 = 6 (solution is valid) </span>
</span>
Therefore, solutions are x = 4 , x = -2
It’s and equation stating the fact that the answer is 21
Answer:
14 and 16
Step-by-step explanation:
nryjettutwi523iwtietiitqy25
Answer:
y = 3/2x + 7/2
Step-by-step explanation:
First, you need to find the slope.
y2 - y1 / x2 - x1
= 5 - 8 / 1 - 3
= 3/2
The slope is 3/2x.
To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b
y = 3/2x + b
8 = 3/2(3) + b
8 = 9/2 + b
7/2 = b
The equation y = 3/2x + 7/2.
Answer:
46 gallons
Explanation:
First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to
Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to
radius = diameter/2
radius = 28 yd/2
radius = 14 yd
Then, the area of the outer circle is
In the same way, the radius of the inner circle is
radius = diameter/2
radius = 18 yd/2
radius = 9 yd
Then, the area is
So, the area of the path is
Area path = 615.44 yd² - 254.34 yd²
Area path = 361.1 yd²
Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as
Therefore, the number of gallons is 46 because we need to round the result to a whole number.
