Answer:
Step-by-step explanation:
Solve for
y
y
.
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y
=
−
9
+
3
x
y
=
-
9
+
3
x
Rewrite in slope-intercept form.
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y
=
3
x
−
9
y
=
3
x
-
9
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
3
3
y-intercept:
−
9
-
9
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
−
3
3
0
x y 2 -3 3 0
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
3
y-intercept:
−
9
-
9
x
y
2
−
3
3
0
x y 2 -3 3 0
image of graph
Answer: 
==========================================================
Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.
So that's why the diagonal BD is exactly 
units long
Side note: 
Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
Answer:
The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.
