Answer:
Many solutions are possible. One example is (10,5) and (5,7).
Step-by-step explanation:
The slope is the distance between points represented as a ratio of vertical to horizontal distances. It is a difference or subtraction. To find two points work backwards. What two points have y values with a distance of -2?
5-7=-2
So the points are (x,5) and (x,7).
Now what x values have a distance of 5?
10-5 = 5
So the points are (10,5) and (5,7).
Answer: 118
Explanation:
Since ∠A=∠ADB: ∠ADB=61°. The sum of the interior angles of any triangle is 180°, thus:
61°+61°= 122
180-122=58°
∠DBA=58°
Since triangle BCD is an equilateral triangle, all the interior angles are the same:
180/3=60
∠DBC=60°
∠BCD=60°
∠CDB=60°
Since angles DBC and DBA make up angle ABC, just simply add the two angles together:
58+60=118°
Therefore, ∠ABC is 118°.
Answer:
y+1 = -1(x+10)
Step-by-step explanation:
The point slope equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line
y - -1 = -1 (x --10)
y+1 = -1(x+10)
Answer:
5q I would say
Step-by-step explanation:
As
3
x
−
q
=
5
q
, adding
=
q
on both sides, we get
3
x
−
q
+
q
=
5
q
+
q
or
3
x
=
6
q
, now multiplying both sides by
1
3
, we get
3
x
×
1
3
=
2
6
q
×
1
3
or
x
=
2
q
Answer:
A. between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The idea here is that if a function is continuous and you have points on opposite sides of the x-axis, then there must be a zero-crossing between those points. As the table and graph show, ...
... (3.0, 4.0) and (3.5, -0.2)
are points on opposite sides of the x-axis. So, there must be a zero crossing between x=3.0 and x=3.5.
Likewise, ...
... (4.0, -0.8) and (4.5, 0.1)
are points on opposite sides of the x-axis. So, there must be a zero-crossing between x=4.0 and x=4.5
The appropriate answer choice lists both of these possible zero crossings.
