-4x + y = -9
-
5x + 2y = 3
:
Solve the Linear equation

A) = 23.0 miles

B) 14.4 Miles

   [tex]sin60\textdegree\ =\frac{opp}{hyp}=\frac{z}{10}[/tex]

           [tex]z=10\times sin60\textdegree =10\times 0.8660=8.66\ miles[/tex]

                  [tex]use\ pythagores\ theorem\ to\ get\ the\ value\ of\ y.\ l,e[/tex]

                    [tex]y=\sqrt{{20}^2-z^2}=\sqrt{{20}^2-{8.66}^2}=\sqrt{325.0044}[/tex]

                                                                       [tex]=18.03\ miles[/tex]

    [tex]\therefore\ distance\ AD=5+18.03[/tex]

                               [tex]=23.03\\ 23.0\ miles[/tex]

[tex]< ABN=\varphi=30\textdegree\ \{Beary\ 4A\ from\ B=360\textdegree\ -60\textdegree\ =300\textdegree\}[/tex]

                                           [tex]AB=y.[/tex]

             [tex]\cos{\theta=\frac{ads}{h}p}\\ cos\ G\begin{matrix}0\\0\\\end{matrix}=\frac{x}{25}[/tex]

                     [tex]x=25\times cos\ 60\textdegree[/tex]

                        [tex]=12.5\ mle[/tex]

             [tex]cos\ 30\textdegree=\frac{xe}{y}=\frac{12.5}{y}[/tex]

                    [tex]\because\ y=\frac{12.5}{cos\ 30\textdegree}[/tex]

                            [tex]=14.Fmm'_\mathcal{i}(es[/tex]

I hope this helps you

:)

Problem 1

The error happens on the third step. The result should be 47 degrees (approximately). Refer to the steps below to see how I got that value.

[tex]\frac{\sin x}{7} = \frac{\sin 110^{\circ}}{9}\\\\\sin x = \frac{7*\sin 110^{\circ}}{9}\\\\\sin x \approx 0.73087203838903\\\\x \approx \sin^{-1}(0.73087203838903)\\\\x \approx 46.9595500055922^{\circ}\\\\x \approx 47^{\circ}\\\\[/tex]

Make sure your calculator is in degree mode.

If I had to guess where the [tex]m\angle \text{x} = 73^{\circ}[/tex] mistakenly came from, it's probably from the 0.73 shown on step 3, but the student somehow lost the decimal point out front.

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Problem 2

The error happens on step 1. The sin(120) should be over top the 35 because the 120 degree angle is opposite the side length of 35.

Similarly, the sin(50) should be over the x

Each fraction involves the angle with its paired opposite side, and vice versa.

Here's one way to write the correct steps to find x.

[tex]\frac{\sin(120)}{35} = \frac{\sin(50)}{x}\\\\x\sin(120) = 35\sin(50)\\\\x = \frac{35\sin(50)}{\sin(120)}\\\\x \approx 30.9593175812171\\\\x \approx 30.96\\\\[/tex]

Answer:

y = 4

Step-by-step explanation:

I think you meant

2(4y - 9 ) = 14

Multiply:

2 ×4y = 8y

2× 9 = 18

Thus, we have

8y-18 = 14

Now add 18 to both sides

8y-18+18=14+18

Simplify

8y  = 32

Solution:

y = 4

Hence y = 4.

Kavinsky

Answer:

y= -0.5x² + 1x + 7.5

Step-by-step explanation:

I graphed the points in Desmos and saw they looked liked a parabola the point (1,8) is in between -3 and 5 for the x-coordinate.

I put the values in a table. and had desmos do a regression

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

Hope this helps

Answer:

D. 16

Step-by-step explanation:

16 because 4 * 2 * 2= 16 there are 4 shirts and 2 pants so that is 8 combos and then two pairs of shoes so 16 combos. hope that helps.

Answer:

16 or 48

Step-by-step explanation:

i dont think this is the correct answer

Answer:

D

Step-by-step explanation:

The rate of chnage is the same as the slope.

Slope is x/y. How many y increases/decreases per increase of 1 x

slope for A is

2/500 every 2 x increase, y goes up by 500.

slope for B is

2/500 every 2 x increase, y goes up by 600-100 = 500

slope for C is

1/250

slope for D is

756/3

The greatest one out of these options is D, 756/3

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

https://brainly.com/question/14965845

Answer:

Hope that the payment picture will help you.Please mark me brilliant

Answer:

Its B

Step-by-step explanation: on edg 2022

Answer:

P, R

Step-by-step explanation:

If you dilate P, you can find out that P can be the same as R.

Answer:

1/8 ÷ 4/1 = 1/32

Step-by-step explanation:

how is water used in this place write a brief explanation of the answer sheet

Answer:

1: x = 93, verticle, congruent

2: x=135 or 85, same side exterior

3: x=103, alternate interior

4: x=108

5: m<1=m<5, m<3=m<7, m<4=m<12, m<11=m<15, m<7, m<16=m<12

What will happen to you and your sister's motion if you push against each other Is; ( A ) You move forward and your sister moves backward at a faster rate.

Force is the product of a mass and an acceleration due to gravity while Motion is a change in position with respect to time.Because you are bigger you will alter her movement by making her go in your direction. you impose more force on here which will make her go faster. But because of that collision, your force will reduce, thereby reucing your speed.

In conclusion the one with the higher mass have the greater force. Therefore What will happen to you and your sister's motion Is that You move forward and your sister moves backward at a faster rate.

Learn more about motion: https://brainly.com/question/453639

#SPJ1

Using the concepts of domain and range, it is found that for the function given in the graph:

The graph in this problem gives the height of a projectile after t seconds, hence:

More can be learned about the domain and range of a function at https://brainly.com/question/10891721

Answer: A

Step-by-step explanation:

A centroid is the intersection point of the medians (which are the lines that connect a vertex of a triangle to the midpoint of the opposite side)

Answer:

45 degrees

Step-by-step explanation:

Since this angle is a right angle (1/4 of a full circle, or 360 degrees) its angle is 90. Since one part of it is 45 degrees. A=90-45=45

Answer:0.20 pounds remain .0.21 minus 0.01 = 0.20

Answer:

0.20

Step-by-step explanation:

Answer:

To find the inverse of:

[tex]f (x)=\dfrac{4}{x-2}-1[/tex]

Set the function to y:

[tex]\implies y=\dfrac{4}{x-2}-1[/tex]

Rearrange to make x the subject:

[tex]\implies y+1=\dfrac{4}{x-2}[/tex]

[tex]\implies (y+1)(x-2)=4[/tex]

[tex]\implies xy-2y+x-2=4[/tex]

[tex]\implies xy+x=2y+6[/tex]

[tex]\implies x(y+1)=2y+6[/tex]

[tex]\implies x=\dfrac{2y+6}{y+1}[/tex]

Swap x and y:

[tex]\implies y=\dfrac{2x+6}{x+1}[/tex]

Change y to the inverse of the function sign:

[tex]\implies f[/tex][tex]\:^{-1}(x)=\dfrac{2x+6}{x+1}[/tex]

Rewrite g(x) as a fraction:

[tex]g(x)=\dfrac{3}{x+2}-2[/tex]

[tex]\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2x-4}{x+2}[/tex]

[tex]\implies g(x)=-\dfrac{2x+1}{x+2}[/tex]

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

Answer:

D

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BCD is an exterior angle of the triangle , then

∠ BCD = 35° + 67° = 102°

Answer:

The answer is A. I have comfirmed it by having to maximize my screen and look at each dot carefully.

Answer:

0.5

Step-by-step explanation:

Answer: 1/2 or 0.5

Step-by-step explanation:

attached the solution below for better understanding...

Hope that helps...

Answer:

2x+y²

Step-by-step explanation:

add the similar terms. since x and x is similar so it'd be

2x + y * y

notice that y and y is also similar so y times y would become

2x+y^2 will be the final answer

We can write equations by rewriting the important phrases of information using variables. These variables make the equation look neater and it is faster to write a letter instead of constantly repeating 'cost of student tickets', for example.

The important pieces of information lies in the second last sentence of this question.

Now, let's rewrite them into equations.

Given

x= cost of adult tickets

y= cost of student tickets

Assuming that your friend and her little sister are students, the two equations are:

To convert these equations into slope-intercept form, move all the terms that are not y to the right-hand side of the equation before dividing both sides by the coefficient of y. This is to ensure that the coefficient of y is 1 and that your equation is in y= mx +c, where m is the slope and c is the y-intercept.

From equation (1):

x +2y= 23

2y= -x +23

Divide both sides by 2:

[tex]\bf{y = - \frac{1}{2} x + \frac{23}{2} }[/tex]

From equation (2):

2x +3y= 39

3y= -2x +39

Divide both sides by 3:

[tex]\bf{y= - \frac{2}{3} x + 13}[/tex]

The solution to the system of equations is the point at which the two lines intercept on the graph. I have attached the graph as an image.

The solution is (9, 7).

The x coordinate is the cost of an adult ticket, while the y coordinate is the cost of a student ticket. This means that adult tickets cost $9 and student/ child tickets cost $7.

Answer:

125 kg

Step-by-step explanation:

500 kg * 25 %  =

500 * .25 = 125 kg

Answer:

125 kg

Step-by-step explanation:

500/100 × 25 = 125

..........

The summation notation for the geometric series will be expressed as [tex]\sum5(-2)^{n-1}\\[/tex]

Series are sum of sequences

Given the following alternating series as shown:
5 - 10 + 20 - 40 + 80

The series is geometrc series with the following parameters

First term "a" =5

ratio= -10/5 = 20/-10 = -2

Since the nth term of geometric sequence is expressed as:

Tn = ar^n-1
Tn =5(-2)^n-1

Hence the  summation notation for the geometric series will be expressed as [tex]\sum5(-2)^{n-1}\\[/tex]

Learn more on geometric series here: https://brainly.com/question/24643676

Answer:

A

Step-by-step explanation:

The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.

Find the slope (m):

Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)

Slope (m) = -3/1 = -3

Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:

-1 = -3(1) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

Substitute m = -3 and b = 2 into y = mx + b

y = -3(x) + 2

y = -3x + 2

Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Learn more about equation of linear function on:

https://brainly.com/question/15602982

Answer:

Step-by-step explanation:

A

Answer:

Vendor 1 had a higher unit rate.

Step-by-step explanation:

Answer:

a b

Step-by-step explanation:

Answer:

All of these transformations are equivalent to reflection across the line y=x:

A. a reflection across the y-axis followed by a clockwise rotation 90° about the origin

C. a clockwise rotation 90° about the origin followed by a reflection across the x-axis

D. a counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis

E. a reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin

Step-by-step explanation:

EDGE