Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
Answer:
The equation at the end should be written like this
18 + 30 = 3(6 + 10)
Step-by-step explanation:
the 3 and 6 should be swapped
Answer:
D) Count the number of beats for one minute
Step-by-step explanation:
When measuring a person's pulse, we are measuring their heart beat. A person's pulse is measured using beats per minute (BPM).
Though not as accurate, most medical personnel simply counts the beats per 10 seconds, and then multiply by 6
For instance:
10 seconds = 13 beats
13 x 6 = 78 bpm
In conclusion, a person's pulse is based on how many beats per minute!
Hope this helps! :)
Answer:
About 2:18
- The minute hand points toward the marker, meaning that is 15 minutes.
- Count the other ticks, and that's 18.
- Since the hand is not exactly on the 3, that means it is 2:00
With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18
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Step-by-step explanation: