Answer:
the fixed amount multiplied by a term to get to the next term in a geometric sequence
2. defines the next term in a sequence by using the proceeding term
3. defines the term with direct computation for any term in the sequence
4 a sequence in which there is a common ratio between the terms
5. the term that is immediately before
Step-by-step explanation:
So i just finished this lesson. I am taking Algebra 1.
All you need to do is determine which number is X, and which number is Y. The formula is Y2-Y1 over X2-X1. Here is an example. And then make sure you simplify it to simplest form.
Answer:
y=4x + 7
Step-by-step explanation:
Line=y=ax+b
b = where the line crosses the y-axis (where x=0). Here, it's 7.
a= vertical distance ÷ horizontal distance.
You can take any pair of distances to a point on the line, for example (4,1) is easy to read in the graph.
x=0 to 1 (horizontal distance=1-0=1)
and
y= 0 to 4 (vertical distance= 4-0=4)
a=4÷1=4.
So, the answer is y=4x + 7 as a= 4 and b=7.
Answers:
A. True
B. True
C. True
D. False
E. True
In short, only answer choice D is false. Everything else is true.
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Explanations:
A. The ordering of FGH and LMN is important. This is because F and L pair up as the first letters of the triple letter sequences, so do G and M as the second letters. Segment FG pairs up with LM because we're talking about the first two letters of both sequences. At the same time, FH and LN pair up because they are composed of the first and third letters of FGH and LMN respectively. Due to the triangles being similar, we can say FG/LM = FH/LN, ie we have a proportion.
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B. Segment LN is proportional to FH, as explained back in part A. For example, FH could be 10 times longer than LN, making FH = 10*LN. Once the scale factor is set, you must use it for the other pairs of sides as well.
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C. Similar triangles have corresponding angles that are congruent. This means F = L, G = M and H = N. Dividing the measure of F over the measure of L leads to 1 (regardless of what the angles happen to be) due to the rule x/x = 1, where x is nonzero. The same thing happens with dividing the measures of angle G over angle M. We get 1 on both sides after simplifying this given equation, so it is a true equation.
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D. Similar triangles are not congruent, so their corresponding side lengths are not congruent either.
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E. As explained back in part C, the corresponding angles are congruent because we know the triangles to be similar. The ordering of the letters matter. Angles H and N are the third letters of FGH and LMN respectively, which is why they pair up and are congruent.
The slope of a perpendicular line is the opposite of the given line.
x -> -x
Find a y-intercept that crosses through the point (0, -2).
y = -x - 2 works!
Now change the equation from slope-intercept form to standard form [ Ax + By = C ].
y = -x - 2
y + x = -2
x + y = -2
Best of Luck!