The value of x is 7 and the value of y is 9.
<h3>What is an equation?</h3>
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Use one equation to fully express one variable by the other, and then you use that identity in the second equation solving then for the second variable.
x = y - 2
7y = 4x + 35
The first equation is already an identity existing x by y. Then, we use this now in the second equation :
7y = 4(y - 2) + 35 = 4y - 8 + 35 = 4y +27
3y = 27
y = 9
The value of x will be calculated as below:-
x = y - 2 = 9 - 2 = 7
Therefore, the value of x is 7 and the value of y is 9.
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Y=-7x -3
since the lines are parallel, the slope would be the same, -7. Now you can just plug in the coordinates to solve for the y-intercept, or b. 32=-5*-7 + b, b = -3. So your equation would be y=-7x -3.
Answer:
The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings, and the wavelength, determine the frequency of the sound produced. The strings on a guitar have different thickness but may be made of similar material. They have different linear densities, where the linear density is defined as the mass per length,
μ
=
mass of string
length of string
=
m
l
.
In this chapter, we consider only string with a constant linear density. If the linear density is constant, then the mass
(
Δ
m
)
of a small length of string
(
Δ
x
)
is
Δ
m
=
μ
Δ
x
.
For example, if the string has a length of 2.00 m and a mass of 0.06 kg, then the linear density is
μ
=
0.06
kg
2.00
m
=
0.03
kg
m
.
If a 1.00-mm section is cut from the string, the mass of the 1.00-mm length is
Δ
m
=
μ
Δ
x
=
(
0.03
kg
m
)
0.001
m
=
3.00
×
10
−
5
kg
.
The guitar also has a method to change the tension of the strings. The tension of the strings is adjusted by turning spindles, called the tuning pegs, around which the strings are wrapped. For the guitar, the linear density of the string and the tension in the string determine the speed of the waves in the string and the frequency of the sound produced is proportional to the wave speed.
-10.1 = w + 5.3
w= -10.1 - 5.3
w= -16.4
Answer:
Step-by-step explanation:
The vertex of an inscribed angle can be anywhere on the circle as long as its sides intersect the circle to form an intercepted arc. The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent.
In a circle, two inscribed angles with the same intercepted arc are congruent. Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.