Two planes intersect at a line. Not a point.
Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
_____
<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
The rate at which the college student earns credit is 13 credits per semester.
<h3>What is an equation?</h3>
An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the credit earned each semester be x.
This will be illustrated as:
5 + 2x = 31
Collect like terms
2x = 31 - 5
2x = 26
Divide
x = 26/2
x = 13
The rate is 13 credits per semester.
Learn more about equations on:
brainly.com/question/2972832
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Answer:
, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Answer:
This means jorge must work for at least 36 hours to earn $1,000. The inequality that represent this expression is h
36
Step-by-step explanation:
Given the amount of money jorge earns for (h) hours of work expressed as 100 + 25 (h). If jorge must work to earn at least $1,000, this means that the lowest amount jorge can earn is $1,000. Jorge cannot earn below but above $1000 i.e he will always earn amount greater than or equal to $1,000.
The statement can be represented using the inequality;
100+25h 1000
To know the number of hours jorge must work to earn at least $1000, we can solve the inequality function for 'h'
Subtarcting 100 from both sides;
100+25h-1001000-100
25h900
dividing both sides by 25
This means jorge must work for at least 36 hours to earn $1,000
