Add
4
x
4
x
to both sides of the equation.
y
=
−
28
+
4
x
y
=
-
28
+
4
x
Rewrite in slope-intercept form.
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y
=
4
x
−
28
y
=
4
x
-
28
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
4
4
y-intercept:
−
28
-
28
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
2
−
20
3
−
16
x y 2 -20 3 -16
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
4
y-intercept:
−
28
-
28
x
y
2
−
20
3
−
16
x y 2 -20 3 -16
image of graph
y
−
4
x
=
−
2
8
y
-
4
x
=
-
2
8
28
x
28
x
28
x
2
28
x
2
28
x
3
28
x
3
Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
Rewrite so
x
is on the left side of the inequality.
12
+
8
x
−
3
x
≥
5
+
2
x
−
2
Subtract
3
x
from
8
x
.
12
+
5
x
≥
5
+
2
x
−
2
Subtract
2
from
5
.
12
+
5
x
≥
2
x
+
3
Move all terms containing
x
to the left side of the inequality.
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12
+
3
x
≥
3
Move all terms not containing
x
to the right side of the inequality.
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3
x
≥
−
9
Divide each term by
3
and simplify.
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x
≥
−
3
The result can be shown in multiple forms.
Inequality Form:
x
≥
−
3
Interval Notation:
[
−
3
,
∞
)
A triangle always adds up to 180 degrees:
Therefore, 48 + 6x + 9x-3 = 180
Solve for x:
180 - 45 = 15x
135 = 15x
x = 9 degrees
Myra is 51 inches tall.
We'll use Susan as our base for this. She is 50 inches tall, and ignoring Myra or now, we move on to Elanie, who is said to be 2 inches shorter than Susan - therefore, Elanie is 48 inches tall. Now that we know this, we can return to Myra's information which says she is 3 inches taller than Elanie, which would mean she is in fact 51 inches tall.
