Answer:
total area = 99m² + 39.4m²
= 138.4m²
There are 10 single-digits (0 through 9) and 26 letters (A through Z)
For the first slot there are 10 choices which represents selecting a single digit
For the second slot there are 26 choices because we choose a single letter here.
Finally there are another 10 choices for the third slot (assuming repeats are allowed)
Multiply the values out: 10*26*10 = 260*10 = 2600
Answer: 2600
6 more than means add 6. The product of 2 and N means multiply the two together.
C) 2N + 6 is the answer.
Hope this helps! :)
Answer:
Step-by-step explanation:
Hypotenuse = x
Base = 4
Perpendicular = 
<u>Using Pythagoras Theorem:</u>
![\sf H^2 = P^2 + B^2\\\\ x^2 = (\sqrt{84} )^2 + (4)^2\\\\x^2 = 84 + 16\\\\x^2 = 100\\\\Taking \ sq \ root \ on \ both \ sides\\\\x = 10\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20H%5E2%20%3D%20P%5E2%20%2B%20B%5E2%5C%5C%5C%5C%20x%5E2%20%3D%20%28%5Csqrt%7B84%7D%20%29%5E2%20%2B%20%284%29%5E2%5C%5C%5C%5Cx%5E2%20%3D%2084%20%2B%2016%5C%5C%5C%5Cx%5E2%20%3D%20100%5C%5C%5C%5CTaking%20%5C%20sq%20%5C%20root%20%5C%20on%20%5C%20both%20%5C%20sides%5C%5C%5C%5Cx%20%3D%2010%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Step-by-step explanation:
Use the standard form to write two equations using points A and B:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
r
2
(
5
−
h
)
2
+
(
1
−
k
)
2
=
r
2
Because
r
2
=
r
2
, we can set the left sides equal:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
(
5
−
h
)
2
+
(
1
−
k
)
2
Expand the squares using the pattern
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
4
+
4
h
+
h
2
+
k
2
=
25
−
10
h
+
h
2
+
1
−
2
k
+
k
2
Combine like terms (noting that the squares cancel):
4
+
4
h
=
25
−
10
h
+
1
−
2
k
Move the k term the left and all other terms to the right:
2
k
=
−
14
h
+
22
Divide by 2
k
=
−
7
h
+
11
[1]
Evaluate the given line at the center point:
2
h
+
k
−
1
=
0
Write in slope-intercept form
k
=
−
2
h
+
1
[2]
Subtract equation [2] from equation [1]:
k
−
k
=
−
7
h
+
2
h
+
11
−
1
0
=
−
5
h
+
10
h
=
2
Substitute 2 for h in equation [2]
k
=
−
2
(
2
)
+
1
k
=
−
3
Substitute the center
(
2
,
−
3
)
into the equation of a circle using point A and solve for the value of r:
(
−
2
−
2
)
2
+
(
0
−
−
3
)
2
=
r
2
(
−
4
)
2
+
3
2
=
r
2
r
2
=
25
r
=
5
Substitute the center
(
2
,
−
3
)
and #r = 5 into the general equation of a circle, to obtain the specific equation for this circle:
(
x
−
2
)
2
+
(
y
−
−
3
)
2
=
5
2
