Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;
- 1. Arcs are drawn to cross the given line twice on either side relative to the point
- 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line
Description:
1. One of the first steps is to place the compass on the point and from
point, draw arcs to intersect or cross the given line at two points.
2. The compass is placed at each of the intersection point in step 1 and
(opened a little wider when constructing from a point on the line) arcs are
drawn on one (the other side of the point off the line) side of the line with
the same opening (radius) of the compass to intersect each other.
3. From the point of intersection of the arcs in step 2, a line is drawn with a
straight edge passing through the given point.
Learn more about perpendicular lines here:
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Answer:
False?
Step-by-step explanation:
We can't tell what the question is here, but it looks like you want to know about the definition of domain and range.
The set of x-values is the <em>domain</em>.
The set of y-values is the <em>range</em>.
__
"range" is <u>not</u> another name for the set of x-values.
Answer:
Step-by-step explanation:
Given: In parallelogram DEFG,
DH = x + 1
HF = 3y
GH = 3x - 4
and HE = 5y + 1
Solution: Since, DH,HF, GH and HE represents the diagonals of the parallelogram and we know that the diagonals of the parallelogram bisect each other, therefore
x+1=3y (1)
3x-4=5y+1 (2)
Multiply equation (1) with 3 and then subtract equation (2) from it, we get
3x+3-3x+4=9y-5y-1
7=4y-1
y=2
Substituting the value of y=2 in equation (1), we get
x+1=3(2)
x=5
Therefore, the value of x and y are 5 and 2 respectively.
Answer:
b. g(x)
Step-by-step explanation:
f(x) = (x-13)^4 -2
(x-13)^4 is always positive or zero so the smallest f(x) can be is -2
g(x) = 3x^3 +2
x^3 can get as negative as it wants as x goes to negative infinity this goes to negative infinity
g(x) goes to negative infinity
f(x) min is -2
g(x) min is - infinity
g(x) has the smallest minimum value
Recall the Central Limit Theorem.
The Central Limit Theorem says that no matter what the distribution of the population is, as long as the sample is “large,” meaning of size 30 or more, the sample mean is approximately normally distributed.
If the population is already normal, then any sample size will produce a normal sampling distribution.
