Answer:
(x, y) = (-3, 2)
Step-by-step explanation:
Put the given value of y into the equation and solve for x.
... 7·2 +3x = 5
... 3x = -9 . . . . . . subtract 14
... x = -3 . . . . . . . divide by the x-coefficient
The solution (x, y) is (-3, 2).
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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Answer:
w=10
Step-by-step explanation:
1. Divide 4 on both sides to cancel out the 4 on the right side since it is an equation so it has to remain “equal”/ balanced.
2. You get 7=w-3.
3. Add 3 on both sides.
4.You get w=10.
19.
A) 84 : 120 --) 7 : 10, I came up with it by knowing x, # of times ordered,
7(x) : 3(x) sum will be 120 and guessed from there.
B) Well I came up with it trying to get the ratio for A, 84 smoothies.
C) 84 ( smoothies) - 36 ( juice drinks)
20.
A) Ok you first have the birds from the first hour which sum up to 24. Then to calculate what of how many birds you saw for the second hour you use the ratio 2 (cardinals) : 3 ( chickadees) : 3 ( pigeons). Now before you use the ratio you need to know how many birds out of the 36 have not been seen in the first hour so just subtract 36 - 24 = 12. Next you figure out what number you can multiply every bird against to get a sum of 12 birds in total. I figured out it's 1.5 as a multiplier. I know physically it's not possible, but I did all the steps correct and apparently they don't care it's not realistic. I hope this helps you on the homework sheet.
