Hey there!
Let's create a systems of equations using x and y.
4x+3y=15
3x-2y=7
We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.
2 2/3x+2y=10
3x-2y=7
Now we combine the equations...
5 2/3x=17
x=3
Now we can plug our x into the first equation to find y.
12+3y=15
y=1
Our numbers are 3 and 1.
I hope this helps!
Answer:
No table given, see below
Step-by-step explanation:
I don't see a table, but the first 5 terms are 11, 8, 5, 2, and -1
Answer:
C. Get it by itself
Step-by-step explanation:
When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.
Answer:
0,0
2,-1
-2,4
Step-by-step explanation:
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>
We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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