-2w + 20 = -17 - 17 + 4w
Combine like terms on the right side of the equation.
-2w + 20 = -34 + 4w
Add 2w to both sides.
20 = -34 + 6w
Add 34 to both sides.
54 = 6w
Divide both sides by 6.
w = 9 is your answer.
Figure is missing, so i have attached it.
Answer:
it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Step-by-step explanation:
The standard form of equation of an ellipse is;
x²/a² + y²/b² = 1
From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft
While the value of b = 13 ft
Thus;
x²/26² + y²/13² = 1
x²/676 + y²/169 = 1
We want to find the height of the archway of the bridge 5 feet from the center.
Thus, we will plug in 5 for x to get;
5²/676 + y²/169 = 1
(25/676) + (y²/169) = 1
Multiply through by 676 to get;
25 + 4y² = 676
4y² = 676 - 25
y² = 651/4
y² = 162.75
y = 12.76 ft
Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft
Answer:
<u><em>22 cm²</em></u>
Step-by-step explanation:
Work out the area of this triangle.
Area Formula: 1/2b * h where b = base (11cm) and h = height (4 cm)
1/2 *11 * 4 =
5.5 * 4 =
<u><em>22 cm²</em></u>
Answer: 4(x + 9) = 3x − 8 − 5
Step-by-step explanation:
Hi, to answer this question we have to analyze the equation given:
4(x + 9) + 5 = 3x − 8
The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.
So, if we subtract 5 from both sides:
4(x + 9) + 5-5 = 3x − 8 -5
4(x + 9) = 3x − 8 − 5
Feel free to ask for more if needed or if you did not understand something.
Answer:
a. A customer earns 1 free night per 10 nights stayed.
Step-by-step explanation:
The missing function is:
f(x) = x/10
The missing options are:
<em>
a. A customer earns 1 free night per 10 nights stayed. </em>
<em>
b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
</em>
<em>
c.A customer earns x – 10 free nights for every 10 nights stayed. </em>
<em>
d. A customer earns 10 free nights after x number of nights stayed.
</em>
The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:
f(10) = 10/10 = 1
which means 10 nights are equivalent to 1 free night.
