Answer:
The measure of the angle ABD is:
m∠ABD = 122°
Step-by-step explanation:
Given
m∠ABC = 84°
m∠CBD = 38°
To determine
Find m∠ABD
The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.
In other words,
m∠ABD = m∠ABC + m∠CBD
substituting m∠ABC = 84° and m∠CBD = 38°
m∠ABD = 84° + 38°
m∠ABD = 122°
Therefore, the measure of the angle ABD is:
m∠ABD = 122°
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Probably the easiest way to do these is to convert them to slope intercept form by solving for y. When we have y=mx+b, we read off the slope m.
-5x + 2y = 10
Add 5x to both sides,
2y = 5x + 10
Divide both sides by 2,
y = (5/2) x + (10/2)
Obviously 10/2=5 but we don't care about that for this problem. We read off the slope as
Answer: 5/2, last choice
12 = 4x - 6y
Adding 6y and subtracting 12,
6y = 4x - 12
Dividing by 6,
y = (4/6) x - (12/6)
y = (2/3) x - 2
Answer: 2/3
I believe you would multiply 6 and 10 and get the area of 60, thats all i can think of
