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Serga [27]
3 years ago
7

What is the key difference between the graph of a linear relationship and the graph of a nonlinear relationship?

Mathematics
2 answers:
Effectus [21]3 years ago
6 0
<h2>Answer:</h2>

Linear functions are in the form of y=mx+b where 'm' is the slope and b is the y intercept. Linear functions are graphed as straight lines, whereas the graph for a non-linear relationship is curved. A non-linear relationship tells that if 'x' intercept changes this does not always make same change in the y variable.

The quadratic relationships are in the form y=ax^{2} +bx+c.  In quadratic functions the x is squared. The graph of quadratic equation is a parabola.

In exponential relationship, as the value of x increases, the value of f(x) also increases proving that the function is an increasing function. The inverse of an exponential function is a logarithmic function. The exponential is shown as :f(x)=b^{x} where b > 0 and that b ≠ 1.

kakasveta [241]3 years ago
4 0
<span>The main key difference between the graph of a linear relationship and the graph of a nonlinear relationship are linear relationship is the relation between variables which creates a straight line when spotted on a cartesian plane and linear relations have constant slope always.The key difference between the graph of an exponential relationship and the graph of a quadratic relationship is exponential relation is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function but quadratic relationship of the graph is the the standardized form of a quadratic equation is ax^2 + bx + c = 0,.</span>
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The equations of four lines are given. Identify which lines are perpendicular.
erma4kov [3.2K]

Answer:

Line 2 and Line 4 are perpendicular

Step-by-step explanation:

Line 2: y=1/5x−3

Line 4: y+1=−5(x+2)

3 0
3 years ago
PLEASE PLEASE HELP ​
nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

8 0
3 years ago
13x + 7x - 4x = (-40)
dlinn [17]
13x + 7x - 4x = -40
combine like terms o0n the left
16x = -40
divide both sides by 16
x = -5/2 or -2.5
5 0
3 years ago
Read 2 more answers
What is the equation of a parabola with a focus (-2,4) and directrix y = 0?
Ronch [10]
The general form of a parabola  when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus.  We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus.  Remember that the parabola will hug the focus and run away from the directrix.  The formula would be slightly different if the parabola was opening either left or right.

Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix.  The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2.  We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2)  Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
5 0
3 years ago
What is −√72 expressed in simplified form
Alekssandra [29.7K]

Answer:

− 6 √ 2

Step-by-step explanation:

6 0
3 years ago
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