You can simplify the entire equation by dividing it all by 7, resulting in 7(b^2-6b+20).
Here, you can factor as you normally would. Your X values would have to be found using the quadratic formula.
Answer:
f(x) = 2x+5
Step-by-step explanation:
Given the arithmetic sequence shown
7,9, 11, 13, 15, 17,
THe nth term of the sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 7
d is the common difference = 9-7 = 11-9 = 2
Substitute
Tn = 7 + (n -1)*2
Tn = 7 + 2n - 2
Tn = 2n + 5
Hence the required function is f(x) = 2x+5
Answer:
105 degrees
Step-by-step explanation:
Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then
a + b + c = 180 ( all in degrees)
Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then
55 + 20 + T = 180
simplify
75 + T = 180
Subtract 75 from both sides
T = 180 - 75
T = 105
Answer:
Step-by-step explanation:
As the numbers are only between 1 and 30
Total number of possible combinations = 30×30×30 = 27000
If there are 100 attempts then
∴ Probability someone can guess the correct combination given 100 attempts is 
Ok so to find which sides are congruent we need to know their lengths.
To find the length we need the distance formula between two point ->
√(X2-X1)∧2 +(Y2-Y1)∧2
Ok lets find the first side PQ
P(-1,3) Q(2,-1)
X1 Y1 X2 Y2
√(2-(-1)∧2 + (-1-3)∧2 = 5
Now PR
P (-1,3) R (5,3)
X1 Y1 X2 Y2
√(5-(-1))∧2 + (3-3)∧2) = 6
Now the last side QR
Q (2, -1) R (5,3)
X1 Y1 X2 Y2
√(5-2)∧2 + (3-(-1))∧2 = 5
From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR
Also the opposite angles of these sides are congruent. Hope this helps :).
