Answer list the data sets
Step-by-step explanation:
Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
triangle: l×w /2
square: s^2
There are 4 triangles so
4 (1/2ab)+c^2= (a+b)(a+b)
simplify
2ab+c^2= a^2+2ab+b^2
-2ab both sides
c^2=a^2+b^2
tada!! it's proven :)
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
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Answer:</h2>
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Explanation:</h2>
Slope-intercept form:
What the variables mean:
Y=the y axis
m=the slope
x=the x-axis
b=the y intercept (the point on the line that crosses the y-axis)
To Calculate the Slope:
1. Find any 2 points on the line
2. The number of units the second point is above the first is the numerator
3. The number of units the second point is to the right of the first is a denominator
(Please see the picture attached)
To Find the Y-Intercept:
1. Find the point on the line that crosses the y-axis
(Please see the picture attached)
