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3 years ago

Are the functions linear or nonlinear?

Mathematics

2 answers:

inna [77]3 years ago

5 0

Linear. They all follow the format y=mx+c wether or not they have been rearranged.

Alecsey [184]3 years ago

4 0

They are all linear bcz x and y have powers 1 if there had been y^2 or x^2 or 3 it would have been no more linear

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Can anyone help me with trig identities?

nevsk [136]

Answer:

cosA = √(21/25)

Step-by-step explanation:

We know

sin²(A) + cos²(A) = 1

Next, we know that sin(A) = 2/5. Plugging that into our equation, we get

(2/5)² + cos²A = 1

4/25 + cos²A = 1

subtract 4/25 from both sides to isolate cos²A

cos²A = 1 - 4/25 = 25/25-4/25 = 21/25

square root both sides to get

cosA = √(21/25)

We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.

6 0

3 years ago

Which of the following angles is coterminal with -4pi/3? -2pi/3 -pi/3 pi/3 2pi/3

PolarNik [594]

Coterminal angles are angles that end in the same position on a unit circle.

We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.

-4pi/3 + 2pi = 2pi/3

The answer is 2pi/3

4 0

3 years ago

Solve with completing the square method: 6x²-7x+2=0 and ax²+bx+c=0

Norma-Jean [14]

$6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}$

7 0

3 years ago

The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se

kakasveta [241]

Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14

x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea

6 0

3 years ago

Solve x show your work

Bezzdna [24]

Answer:

55+x+74+54= 180 degree ( being the sum of all angle of the triangle )

or, 183 +x = 180degree

or, x=(180-183)degree

or, x= -3degree ans

4 0

3 years ago