12 it's adds ×÷2 ( 8÷2=4) and then add the two numbers (8&4)
Answer:
-4
Step-by-step explanation:
Slope formula:
m=y2-y1/x2-x1
I will use (-1,10) and (1,2)
2-10/1-(-1)
Which is
-8/2
Divide:
-4
Thus the slope is -4
Hope this helps!
Answer:
13
Step-by-step explanation:
where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
Answer:
Step-by-step explanation:
Simplified the following system of equations into a linear equation.
Graphed (plot the points) the linear equation onto the graph.
To get the solution (2,-2) (x,y)she went positive 2 to the right and -2 down.
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to
. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A =
, B =
, and C =
.
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to
.
Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the <em>Cosine rule</em> to have:
=
+
- 2ab Cos C
So that;
=
+
- 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C = 
= 0.375
C =
0.375
= 67.9757
C = 
Apply the <em>Sine rule</em> to determine the <u>value</u> of B,
= 
= 
SIn B = 
= 0.861
B =
0.861
= 59.43
B = 
Thus to determine the value of A, we have;
A + B + C = 
A +
+
= 
A =
- 127.4
= 52.6
A = 
Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A =
, B =
, and C =
.
For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814
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