Answer:
Slope of the line 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given points are ( 3,7) and (6,11)
Slope of the line
Slope of the line
OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
Answer:
- m = 4/3; b = -4
- m = 3; b = -6
Step-by-step explanation:
In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.
<h3>1.</h3>
-3y = -4x +12 . . . . . subtract 4x
y = 4/3x -4 . . . . . . . divide by -3
The slope is 4/3; the y-intercept is -4.
__
<h3>2.</h3>
y = 3x -6 . . . . . . divide by 2
The slope is 3; the y-intercept is -6.
_____
<em>Additional comment</em>
Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.
(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)
Answer: C.186
Step-by-step explanation:
1. You know that he read 6 books when he was 6 years old and every year he doubled the number of books he read the previous year.
2. Let's call 
the number of book he read each year and 
the number of books he read between the ages of 6 and 10, then:
- At 6 years old:
- At 7 years old:
- At 8 years old:
- At 9 years old:
- At 10 years old:
The total books he read between the ages of 6 and 10 is:
BC= 30
Reason: 64-8
56/7
8=x
3x=24
24+6
30
