First you write what the vectors are, then you subtract z from w by subtracting their corresponding values <-4-3,1-4>= <-7,-3>, then to get subtracting the next answer you subtract w from z which is <3--4,4-1> = <7,3>
Answer:
Model B has 6 shaded sections
Step-by-step explanation:
The question is not complete. The complete question should be in the form:
Victor has 2 fraction models. Each is divided into equal sized sections the models are shaded to represent the same fraction. Model A is divided into 6 sections and 3 sections are shaded. Model B is divided into 12 sections. What do you know about the number of sections shaded in Model B? Explain your answer.
Solution:
The fraction modeled by model A is given by the ratio of shaded sections to the total number of sections.
That is Fraction of model A = number of shaded sections / total number of sections.
Hence:
Fraction of model A = 3 / 6
Since model B and Model A are equivalent, the number of shaded sections in Model A is given by:
number of shaded sections in model B/ total number of sections in model B = Fraction of model A
number of shaded sections in model B / 12 = 3 / 6
number of shaded sections in model B = 12 * 3/6
number of shaded sections in model B = 6
Hold up. Hee haw. Whoa!
Your first instinct was to multiply it out and get rid of the parentheses.
That's often a good instinct, but this time, it made things harder for you.
This is a good example of a rule you should consider:
Before you do anything to anything, sit back, relax,
LOOK at the problem, THINK about it, and plan your
strategy. Decide what the solution might look like,
and what you're going to do to the given information
in order to move towards the solution.
You might look at this particular equation and ponder:
-- If I multiplied this thing out and got rid of the parentheses, it would
have x³ in it. So there are going to be 3 solutions.
-- If either factor is zero, then the equation is true.
-- One of the factors is 6x. Setting that to zero gives one solution: x=0.
-- The other two solutions come from setting (4x² - 4) = 0 .
-- That's the difference of 2 squares, so it's (2x + 2) (2x - 2) = 0
-- The other 2 solutions come from setting each of those factors to zero.
There you are. You got this far just by thinking, without even picking up
your pencil yet.
Answer:
m= 2
b=9
Step-by-step explanation:
-4, 1 -3,3
put it into y2-x2 divided by y1-x1
y2= 3
x2= 1
y1= -3
x1=-4
3-1 divided by -4--3= 2/1 =2x
get one of the points either -4,1 or -3,3
If you use -4,1 -4=x 1=y
put it into y=mx+b and you get 1= -4(2)+b simplify
1=-8+b add 8 to other side b=9
If we observe the square numbers series, we can understand a pattern:
1,4,9,16,25.
In other words, we have the following
1+3=4
4+5=9
9+7=16
16+9=25
In this pattern, we added 3,5,7 and 9 respectively to the previous number. In this way, to get the next numbers, we need to add 11,13,15,17 and 19 respectively to get the answer to previous number.
25+11=36
36+13=49
49+15=64
64+17=81
81+19=100
So, the five square numbers that follow 25 are 36, 49, 64, 81, 100.
answer
36, 49, 64, 81, 100.
