To solve this problem you must apply the proccedure shown below:
1- You have the following quadratic expression <span>n^2-25.
2. When you factor, you obtain:
(n-5)(n+5)
3. To verify this is true, you can apply the distributive property, as below:
</span><span>n^2+5n-5n-25
</span><span>n^2+25
Therefore, as you can see, the answer is the second option, which is:
(n-5)(n+5)</span>
Answer:
L= 0.83 in
Step-by-step explanation:
Width= 1.2 in when length = 1 in
Required
Determine the length when width = 1 in
First, we need to determine the ratio
Ratio = 
Ratio = 
Ratio = 1.2 ---(1)
Let the required length be represented with L
So:
Ratio = 
Ratio =
---(2)
Equate (1) and (2)
= 1.2
Multiply through by 1.2
L *
= 1.2 * L
1 = 1.2 * L
Divide through by 1.2
L = 
L = 0.83 in (Approximated)
5 cups of soda ------- 6 cups of water
x cups of soda -------- 1 cup of water
x= 5*1/6 = 5/6
Answer : <span>B.5/6</span>
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
D) . -100 is the answer, but if you do it the calculator wayy it's likee thiss,
the way i waa taught wass this beloww ↓
20 1
__ / ( -_ )
1 5
that will givee youu, -0.2 witch leadss too -100
-hope this helps .