Answer:
The value of y is -7.5
Step-by-step explanation:
Given:
equation = 5x+4y
x = 6
To Find:
The value of y
Solution:
We can find the value of y by substitution method.The substitution method is a way of solving a system of equations by expressing the equations in terms of only one variable.
The substitution method for solving systems of equations is a way to simplify the system of equations by expressing one variable in terms of another, thus removing one variable from an equation.
Now
5x + 4y
5x = -4y
-----------------------(1)
on substituting the y value in the equation (1),
y = -7.5
Answer:
1) (D)
2) (B)
3) (C)
Step-by-step explanation:
1) Amount borrowed = $1380 (P)
APR =13% or 0.13 (R)
Time = 15 months (T) = 15/12
Interest amount =
=
= $224.25
Total amount = 1380+224.25
= $1604.25
Monthly payment = 1604.25/15 = $106.95 (D)
2) Amount borrowed = $2240
APR = 15% or 0.15
Time = 18 months
Interest =
=
= $504 (B)
3) Amount borrowed = $5500
APR = 11.5% or 0.115
Time = 5 years
n= 12 (compounded monthly)
M =
=
= $120.95 (C)
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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