help pls and tysmm!!

Answer:

x=3/2

y=4

Step-by-step explanation:

3y=6x+3

3y=4x+6

we see that 3y=3y so even the right side of the equations are equal.

6x+3=4x+6

6x-4x=6-3

2x=3

x=3/2

so easily we find y

we found that x=3/2 so

3y=6*(3/2)+3=9+3=12

y=12/3=4

so the solution of simultaneous equation is

x=3/2

y=4

The solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

We can solve this equation using the following steps:

Subtract pi/2 from both sides to get sin(x) = 1/2.

Recall that the sine function is positive in the first and second quadrants.

Therefore, we need to find the angles in these quadrants where sin(x) = 1/2.

The two angles in the first quadrant where sin(x) = 1/2 are pi/6 and 5pi/6. The two angles in the second quadrant where sin(x) = 1/2 are 7pi/6 and 11pi/6.

Adding pi/2 to each of these angles gives the solutions to the original equation. These solutions are:

x = pi/6 + pi/2 = 2pi/3

x = 5pi/6 + pi/2 = 7pi/6

x = 7pi/6 + pi/2 = 5pi/3

x = 11pi/6 + pi/2 = 4pi/3

We now need to check which of these solutions lie in the interval [3pi/2, 2pi]. We find that the solutions in this interval are:

x = 5pi/3

x = 4pi/3

Therefore, the solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

To learn more about trigonometry from the given link:

https://brainly.com/question/29002217

#SPJ1

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to solve them to make it easier to compare them.

So...

[tex]-3(-2)+3=9\\3(-4)+9=-3[/tex]

Now we now that the first one is 9 and the second one is -3. So obviously the positive number has to be greater than the negative number, so....

[tex]9>-3[/tex]

Answer:

-3(-2)+3 is greater than 3(-4)+9.

Step-by-step explanation:

First, we have to solve.

1) -3(-2)+3  Solve left to right. -3(-2)=6

6+3           Add. 6+3=9

9

2) 3(-4)+9  Solve left to right. 3(-4)=-12

-12+9          Add. -12+9=-3

-3

9 is greater than 3. So, -3(-2)+3 is greater than 3(-4)+9.

Hope this helped!! Have a great day :D

Answer:

They will need eight buses.

Step-by-step explanation:

320/40 = 8

Answer:

y = 3/8x - 1.5

Step-by-step explanation:

Answer: 8 gallons of water are being used per day.

Step-by-step explanation: If the question is how many gallons of water are used a day, then you can find this out using the following steps:

3 divided by 9 = 1/3.

1/3 times 24 = 8

8 gallons of water are being used per day.

Answer:

Step-by-step explanation:

It is assumed as simple interest.

The amount of interest is:

The amount paid back is the sum of the loan and interest:

Answer:

Step-by-step explanation:  Vertex:

(

3

,

−

1

)

Focus:

(

3

,

−

7

8

)

Axis of Symmetry:

x

=

3

Directrix:

y

=

−

9

8

x

y

1

7

2

1

3

−

1

4

1

5

7

Answer:

positive 4 is the correct answer

Answer:

a) H' (-6, -2)

Step-by-step explanation:

For 90° rotation, coordinates of a point change like this

(x, y) ---> (y, -x)

So, for our point

H(2, –6)  ---> H' (-6, -2),

Answer:

its A

Step-by-step explanation:

took the test

Answer:

56 m^2 is your answer

first solve the triangles

1/2 * base * height= 1/2*4*5= 10

there are 4 triangles so multiply 10 by 4 you get 40

then solve the square = s multiply by s= 4*4= 16

add 40 and 16 you get 56

please mark brainliest

I think original price is $350

the discount will be 25% of 350 so it will be 25/100 x 350 to get 87.5 dollars

the new price's percentage is 100% -25% so to get the new price it'll be 75% of 350 to get 262.5 dollars

Answer:

p = 170

Setting up the formula:

The mean is the sum of the digits divided by the total digits in the set.

[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = \text{Mean}[/tex]

[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = 39[/tex]                                                                     [Mean = 39]

[tex]\rightarrow \dfrac{25 + p}{\text{Total digits}} = 39[/tex]                                                     [Sum of digits = 25 + p]

[tex]\rightarrow \dfrac{25 + p}{5} = 39[/tex]                                                                         [Total digits = 5]

Step-by step calculations:

Use cross multiplication:

[tex]\rightarrow 25 + p= 39 \times 5[/tex]    

Simplify the RHS:

[tex]\rightarrow 25 + p= 39 \times 5[/tex] 

[tex]\rightarrow 25 + p= 195[/tex] 

Subtract 25 both sides:

[tex]\rightarrow p = 195 - 25[/tex]

[tex]\rightarrow p = 170[/tex]

Answer:

1/2(AC) = A'C'

Step-by-step explanation:

IF Triangle ABC is 100% then, A'B'C' be 50% which is 1/2(AC) = A'C'

Answer:

1/2(AC) = A'C' Is gonna be the answer

Step-by-step explanation:

hope it helped

Answer:

36 / 4 = 9 half-lives

2^9 = 512

Therefore after 36 hrs 512 / 512 = 1 mg remains

Answer:

1 mg

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

5 more a number equals 23.

Subtract 23 and 5, the number is 18.

Check; 18 + 5 = 23.

Hope this helps!

-Jerc

Answer:

A

Step-by-step explanation:

They are corresponding angles because they are on the same side of the transversal, but one is an interior and one is an exterior angle.

The area of the drafting section on the screen after Jenny left a right margin for editing marks is 1,077,120 pixels.

The first step is to determine the dimensions of the drafting section:

Length = 11 inches

Width = (1 - 1/5) x 8.5 = 6.8 inches

The second step is to convert the dimensions to pixels:

Length = 11 inches x 120 = 1320

Width = 6,8 inches x 120 = 816

Area = 1320 x 816 = 1,077,120 pixels

Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

1,077,120 pixels

Step-by-step explanation:

I got a 100% on the test

Answer:

B because it’s just pluss what makes it easier

Answer:

-4(x+2)=24

distribute

-4x-8=24

+8

-4x=32

divide by -4

x=-8

so c
Hope This Helps!!!

Hello.

First, let's use the Distributive Property and distribute -4:

[tex]\mathrm{-4(x+2)=24}[/tex]

[tex]\mathrm{-4x-8=24}[/tex]

Now, add 8 to both sides:

[tex]\mathrm{-4x-8+8=24+8}[/tex]

[tex]\mathrm{-4x=24+8}[/tex]

[tex]\mathrm{-4x=32}[/tex]

Now, divide both sides by -4:

[tex]\Large\boxed{\sf{x=-8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

B is the midpoint. AB+BC=AC

Since B is the midpoint, lets take AB and BC to be x.

x+x = 206

2x = 206

x = 103

Therefore the value AB and BC is 103.

Answer:

-8/7p=c

Step-by-step explanation:

add 9p to both sides of the equation

then divide both sides by 7

tah dah

Answer:i need more

Step-by-step explanation:

Answer:

answer is 4785.3 explained in picture

[tex][Hello,BrainlyUser][/tex]

Answer:

47853

Step-by-step explanation:

[tex]\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer}[/tex]

[tex]Line\;up\;the\;numbers[/tex]

[tex]\begin{matrix}\:\:&5&3&1&7\\ \times \:&\:\:&\:\:&\:\:&9\end{matrix}[/tex]

[tex]multiply\;the\;top\;number\;by\;the\;bottom\;number\;one\;digit\;at\;a\\\;time\;starting\;with\;the\;ones\;digit[/tex]

[tex]multiply\;the\;bold\;number:7*9=63[/tex]

[tex]\mathrm{Carry\:}6\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}3\mathrm{\:in\:the\:result\:line}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&6&\:\:\\ \:\:&5&3&1&\textbf{7}\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&3\end{matrix}}[/tex]

[tex]Add\; the \;carried \;number\;to\;the\;multiplication:6+1*9=15[/tex]

[tex]\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}5\mathrm{\:in\:the\:result\:line}[/tex]

[tex]\frac{\begin{matrix}\:\:&\:\:&1&\textbf{6}&\:\:\\ \:\:&5&3&\textbf{1}&7\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&5&3\end{matrix}}[/tex]

[tex]Add\; the \;carried \;number\;to\;the\;multiplication:1+3*9=28[/tex]

[tex]\mathrm{Carry\:}2\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}8\mathrm{\:in\:the\:result\:line}[/tex]

[tex]\frac{\begin{matrix}\:\:&2&\textbf{1}&6&\:\:\\ \:\:&5&\textbf{3}&1&7\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&8&5&3\end{matrix}}[/tex]

[tex]Add\; the \;carried \;number\;to\;the\;multiplication:2+5*9=47[/tex]

[tex]\mathrm{Carry\:}4\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}7\mathrm{\:in\:the\:result\:line}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\textbf{2}&1&6&\:\:\\ \:\:&\:\:&\textbf{5}&3&1&7\\ \times \:&\:\:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&7&8&5&3\end{matrix}}[/tex]

[tex]Add\;the\;carried\;digit,4,to\;the\;result[/tex]

[tex]\frac{\begin{matrix}\:\:&4&2&1&6&\:\:\\ \:\:&\:\:&5&3&1&7\\ \times \:&\:\:&\:\:&\:\:&\:\:&9\end{matrix}}{\begin{matrix}\:\:&4&7&8&5&3\end{matrix}}[/tex]

[CloudBreeze]

The equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,

[tex]I=\dfrac{k}{w}[/tex]

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of rectangle and (b) is the width of the rectangle.

A rectangle with constant area has possible lengths and widths as shown in the table below.

Width vs. Length of a rectangle

In the above table, the length of a rectangle is decreasing with increasing the width of a rectangle.

For such relation, the value of w should be inversely proportional to the length of it. The first option given as,

[tex]I=\dfrac{k}{w}[/tex]

Here l is the length, w is the width, and k is a constant (w not-equals 0).

In this expression, the length of the rectangle is inversely proportional to the width of the rectangle.

Thus, the equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,

[tex]I=\dfrac{k}{w}[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

Answer:

a

Step-by-step explanation: