Answer:
b = 12.6
Step-by-step explanation:
a*2 + b*2 = c*2
6*2 + b*2 = 14*2
36 + b*2 = 196
Subtract 36 from both sides
36 + b*2 = 196
-36 -36
b*2 = 160
Find the square root of both
b = 12.64911064 or 12.6
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
<span>
</span>
Answer:
P = (21.4a+36.6) cm
Step-by-step explanation:
Given that,
The width of a rectangle, b = (6.9a+8.5) cm
The length of a rectangle, l = (3.8a+9.8) cm
We need to find the perimeter of the rectangle. Perimeter is the sum of all sides. So,
P = 2(l+b)
Put all the values,
P = 2(6.9a+8.5+3.8a+9.8)
= 2(6.9a+3.8a+8.5+9.8)
= 2(10.7
a+18.3)
= (21.4a+36.6)
So, the perimeter of the rectangle is (21.4a+36.6) cm.
Answer:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
If AP and BP are tangent segments connected outside of the circle at point "P" then <span>AP = BP so,
10x - 15 = 7x + 3</span>
3x = 18
x = 6
