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3 years ago

How do u know if a equation is linear or nonlinear

Mathematics

2 answers:

Mrrafil [7]3 years ago

8 0

A function is linear if the greatest exponent on the variable is 1 (i.e. if the degree is 1).

dem82 [27]3 years ago

3 0

Answer:

Linear equations have a reduced form of

m*x + b = 0

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Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?

alisha [4.7K]

Answer:

y = -6, perpendicular

Step-by-step explanation:

You can use the points to find the slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0$

Then, using point-slope form, choose one set of coordinates to use for y1 and x1:

$y-y_{1}=m(x-x_{1})$

$y-(-6)=0(x-4)$

$y+6=0$

$y=-6$

Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.

7 0

3 years ago

A right circular cone of height h and base radius r has total surface area S consisting of its base area plus its side area, lea

Yuki888 [10]

Answer:

gfgj

Step-by-step explanation:

5 0

3 years ago

Write the following inequality in slope-intercept form. −6x + 2y ≤ 42

zubka84 [21]

Add the 6x to both sides. Then divide both sides by 2 to get y by itself.

y <= 6x + 42

Note: if it were a -2y, you’d have to flip the inequality sign when dividing by that negative 2.

:)

7 0

3 years ago

Read 2 more answers

1. tan a = cot(a + 10°)

Temka [501]

Answer:

$a=40+90n$

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So $\tan(a)=\cot(90-a)$ .

We have the equation:

$\tan(a)=\cot(a+10)$

Make the above replacement:

$\cot(90-a)=\cot(a+10)$

Since cotangent has period 180 degrees, we can also write this as:

$\cot(90-a+180n)=\cot(a+10)$

So solving the following will give us a set of solutions for $a$ :

$90-a+180n=a+10$

Add $a$ on both sides:

$90+180n=2a+10$

Subtract 10 on both sides:

$80+180n=2a$

Divide both sides by 2:

$40+90n=a$

Symmetric property:

$a=40+90n$

7 0

3 years ago

X = 2y-2<br> 4x-9 = 11<br><br> Step by step please

Alex787 [66]

Answer x=5, y= 3.5

Find y by plugging the x value into the 2nd equation
4(2y-2) -9=11
8y - 8 - 9 =11 combine like terms
8y = 28 divide both sides by 8
y = 3.5

Now find x
Plug your y value into first equation
X = 2(3.5) -2
X= 7-2
X=5

You can check your work by putting your x or y values into the equations

For the first equation
5=2(3.5) -2
5=5

For the second equation
4(5) -9 = 11
20 - 9 = 11
11 =11

4 0

2 years ago