MATHEMATICS HIGH SCHOOL

Y = 3x + 10
y = -7x - 20

Answers

Answer 1
Answer:

Answer:

x = -3

Step-by-step explanation:

3x + 10 = -7x -20

3x + 7x = -20 -10

10x = -30 /: (10)

x = -3

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Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 π ).a.π and π/3
b.π, π/3, and 5π/3
c.1 and 2π/3
d.1, 2π/3, and 4π/3
e.1, π/3, and 5π/3

Answers

the answer is (b) all this value of x satisfy the equation

Answer:

Option  B

Step-by-step explanation:

\pi ,(\pi )/(3), and (5\pi )/(3)

-5r + 2r = -3 aLGREBRA

Answers

Answer:

r = 1

Step-by-step explanation:

We can combine like terms, getting -3r = -3.

Then we can divide both sides by -3, and get r = 1.

Answer:

r = 1

Step-by-step explanation:

First, we'll simplify

-5r + 2r = -3

-3r = -3

Then, we divide

-3 divided by - 3 is equal to 1

Therefore, r = 1

Hope this helps!

Josh has 36 postcards from national parks he visited. He wants to put them in abinder. Each page in the binder holds 4 postcards. How many pages does he need for
the binder? Explain.

Answers

Answer:

he needs nine pages

Step-by-step explanation:

36 divided by 4 makes 9

Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

Answers

sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \n\nsin \alpha = (8)/(9)\n\n \Rightarrow\ \ \ ((8)/(9))^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- (64)/(81) \ \ \ \Rightarrow\ \ \ cos^2 \alpha = (17)/(81) \n\n \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = ( √(17) )/(9) \n\n

tan \alpha = (8)/(9): ( √(17) )/(9) =(8)/(9)\cdot (9)/(√(17))= (8)/(√(17))= (8\cdot √(17))/(√(17)\cdot √(17))=(8\cdot √(17))/(17)

Solve the equation 3x+6y=18 for x

Answers

3x+6y=18
subtract 6y from both sides
3x=18-6y
divide by 3
x=6-2y

Hi there!


When you answer a math problem with 2 variables, you have to make sure the other is in your answer. :)


Solve for x -


Step 1) Add -6y to both sides.


3x + 6y + -6y = 18 + -6y

3x = -6y + 18


Step 2) Divide both sides by 3.


3x/3 = -6y + 18/3

x = -2y + 6


Final Answer -


x = -2y + 6


Hope this helps!

If you need anything else, send me a message! I'd be happy to help! :D

3(2x + 1 ) = 2(x + 1) + 1

Answers

3(2x+1)=2(x+1)+1

Step 1:Simplify both sides of the equation

(3)(2x)+(3)(1)=(2)(x)+(2)(1)+ -(distribute)

6x+3=2x+2+1

6x+3=(2x)+(2+1) -(Combine Like Terms)

6x+3=2x+3

Step 2: Subtract 2x from both sides

6x+3-2x=2x+3-2x

4x+3-3=3-3

4x÷4=0÷4

x=0
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