Answer:
![cos^{-1} (\frac{8}{[tex]\sqrt{113}](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%20%28%5Cfrac%7B8%7D%7B%5Btex%5D%5Csqrt%7B113%7D)
} )[/tex]
Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now 
. and 
=56.
Now cosα=
so α= cosine inverse of that.
∴α=
} )[/tex]
Forms for the equation of a straight line
Suppose that we have the graph of a straight line and that we wish to find its equation. (We will assume that the graph has x and y axes and a linear scale.) The equation can be expressed in several possible forms. To find the equation of the straight line in any form we must be given either:
two points, (x1, y1) and (x2, y2), on the line; or
one point, (x1, y1), on the line and the slope, m; or
the y intercept, b, and the slope, m.
In the first case where we are given two points, we can find m by using the formula:
Once we have one form we can easily get any of the other forms from it using simple algebraic manipulations. Here are the forms:
1. The slope-intercept form:
y = m x + b.
The constant b is simply the y intercept of the line, found by inspection. The constant m is the slope, found by picking any two points (x1, y1) and (x2, y2) on the line and using the formula:
2. The point-slope form:
y − y1 = m (x − x1).
(x1, y1) is a point on the line. The slope m can be found from a second point, (x2, y2), and using the formula:
3. The general form:
a x + b y + c = 0.
a, b and c are constants. This form is usually gotten by manipulating one of the previous two forms. Note that any one of the constants can be made equal to 1 by dividing the equation through by that constant.
4. The parametric form:
Answer:
1 yard
Step-by-step explanation:
7/14 is 1/2 while 9/14 is greater than 1/2 but a lot less than a whole. So a strong estimate would assume that it is (1 1/2)-(1/2) for the approximate difference in their throws were
Answer:
Bill = 72
Step-by-step explanation:
Since Bob scored 1/3 of the number of points that Bill would have scored if Bob scored 24 points......
24 divided 1/3
= 72
Answer:
A = f^2 g(3)^2
B = g^2 f(3)^2
Step-by-step explanation:
Give brainiest please! <3
