8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)

Answers

Answer 1

Answer:

x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.

Step-by-step explanation:

Solve the following system:

{8 x + 9 y = 9 | (equation 1)

3 x - 5 y = 20 | (equation 2)

Subtract 3/8 × (equation 1) from equation 2:

{8 x + 9 y = 9 | (equation 1)

0 x - (67 y)/8 = 133/8 | (equation 2)

Multiply equation 2 by 8:

{8 x + 9 y = 9 | (equation 1)

0 x - 67 y = 133 | (equation 2)

Divide equation 2 by -67:

{8 x + 9 y = 9 | (equation 1)

0 x+y = -133/67 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{8 x+0 y = 1800/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Divide equation 1 by 8:

{x+0 y = 225/67 | (equation 1)

0 x+y = -133/67 | (equation 2)

Collect results:

Answer: {x = 225/67 , y = -133/67


Related Questions

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)

Find x.
A)7
B)7"2
C)"(14)

Answers

Answer:

x = 7

Step-by-step explanation:

Since this is a right triangle, we can use a trig function

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7

Find the slope of a line that crosses through (-5,-2) and (9,3)

Answers

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

The answer is 5/14..

If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?

Answers

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?​

Answers

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

What is the surface area of this shape? thank you :)

Answers

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

What is rectangular prism?

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

Height h = 4cmLength l = 1cmWidth w = 3cm

For the second rectangular prism

Height h = 2cmLength l = 5cmWidth w = 3cm

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

Learn  more about area of prisms here: https://brainly.com/question/17351910

#SPJ2

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.

Answers

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

I don't know how to find the value of x in the isosceles triangle.

Answers

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me

Answers

Answer: 8:11

Step-by-step explanation:

5 and 3 is Hari's ages.

5+3=8 (Now Hari is 8 ages)

7 and 4 is Harry's ages.

7+4=11 (Now Harry is 11 ages)

Ratio is 8:11

Answer:

Harry is 11 and Hari is 8

Step-by-step explanation:

5:7+3:4=8 and 11

For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5

Answers

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

help me VERY FAST !!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ) , thus

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Answer:

A

Step-by-step explanation:

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

A point is one-dimensional
O A. True
O B. False
SUBMIT​

Answers

Answer:

This is true.

Step-by-step explanation:

A point can only be on one dimension.

Answer:

FALSE

Step-by-step explanation:

i just took it

HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!

Answers

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.

Answers

36x2=72 which is the width so 72x2=144 so I’m pretty sure the length is 144

The width of the room is equal to 6 m

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

Learn more about the perimeter here:

https://brainly.com/question/20693059

#SPJ2

.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?

Answers

Find out how much David chargers for one hour.
That is 70÷2 which gives you 35.
Then multiply 4.5 hours by 35
your answer will be $157.5

The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above

Answers

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Good question and the answer is A

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621

Answers

Answer:

a=7

Step-by-step explanation:

7(a – 10) = 13 – 2(2a + 3)

Open the bracket

7a-70=13-4a-6

Collect like terms

7a+4a=13-6+70

11a=77

divide both sides by 11

11a/11=77/11

a=77/11

a=7

Half the sum of a number and 5

Answers

1 half x plus 5 please mark

Help please!! Anyone??

Answers

Answer:

38

Step-by-step explanation:

180-142=38

Answer:

180-142 (supplementary angles)

38

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Answers

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.

Answers

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

help help help helphelp h;i

Answers

Answer:

2

Step-by-step explanation:

It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.

Answer:

I got 2

Step-by-step explanation:

Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.

Answers

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]

This is urgent can someone please help.......

Quentin typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?
A)73 yards
B)20 yards
C)53 yards
D)126 yards

A cone shaped tepee has a radius of 4 feet and a slant of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.
A)Joe is shorter than the tepee.
B)Joe is taller than the tepee.
C)Joe is the same height as the tepee.
D)There is not enough information to determine if Joe is shorter or taller than the tepee.

Which of the following could NOT be the side lengths of a right triangle?
A)3 - 4- 5
B)5 - 12 - 13
C)8 - 9 - 10
D)9 - 40 - 41

Answers

Answers are c, a, and c

Answer:

1. A

2.C

3.C

Step-by-step explanation:


what’s the best answer ?????

Answers

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

Other Questions
Please select the word from the list that best fits the definitionAterriza,el agente de la lnea areael comandanteel avinel agente de aduanael pasajeroel asistente de vuelola pantalla Hot coffee in a mug cools over time and the mug warms up. Which describes the energy in this system? The average kinetic energy of the particles in the mug decreases. The average kinetic energy of the particles in the coffee increases. Thermal energy from the mug is transferred to the coffee. Thermal energy from the coffee is transferred to the mug. Question 91) Which number is a rational number?13449913216 Please answer this correctly Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks! What is an important way that social media has had an impact on the culture of the design industry? (Intro to Graphic + Web Design)A. Pricier design projectsB. More accurate mailing listsC. Faster print timesD. Immediate feedback on designs For an exam given to a class, the students' scores ranged from 34 to 99 , with a mean of 78 . Which of the following is the most realistic value for the standard deviation: -14,3,0,56,15? Clearly explain what's unrealistic about each of the other values. Holly would like to plan for her daughters college education. She would like for her daughter, who was born today, to attend college for 4 years, beginning at age 18. Tuition is currently $10,000 per year and tuition inflation is 7%. Holly can earn an after-tax rate of return of 10%. How much must Holly save at the end of each year, if she wants to make the last payment at the beginning of her daughter's first year of college? A ranchers herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agricultures aerial photography division. Here are three samples of the images. Sample 1=4 Sample 2=1 Sample 3=9 How do the sample statistics compare to the population mean and standard deviation? At a party, you see someone on the floor with grayish skin, havingtrouble breathing. This could be a sign of:AN ALCOHOL OVERDOSEAN OPIOID OR DEPRESSANT OVERDOSEA STIMULANT OVERDOSEALL OF THE ABOVE Hello everyone y'all probably tried but can anyone answer this ? for me Why are acid and base indicators important? How could they be used in everyday life? On March 1, 2017, Carla Vista Co. Acquired real estate, on which it planned to construct a small office building, by paying $79,000 in cash. An old warehouse on the property was demolished at a cost of $8,000; the salvaged materials were sold for $1,660. Additional expenditures before construction began included $1,160 attorney's fee for work concerning the land purchase, $4,400 real estate broker's fee, $8,660 architect's fee, and $13,800 to put in driveways and a parking lot. (a) Determine the amount to be reported as the cost of the land. Question 10 Multiple Choice Worth 1 points)(01.03 LC)Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kidwill recele. From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *Its not 17 or 1.8 I have tried and those are wrong What forms when volcanic rocks get eroded Please answer this correctly For this graph, Mark the statements that are true. If the temperature outside increases, but the amount of water vapor stays the same, what happens to the relative humidity? (50 points, please explain) Witch stammer provides the best analysis of the passages symbolism Income Statement The revenues and expenses of Paradise Travel Service for the year ended May 31, 2018, follow: Fees earned $900,000 Office expense 300,000 Miscellaneous expense 15,000 Wages expense 450,000 Prepare an income statement for the year ended May 31, 2018. Paradise Travel Service Income Statement For the Year Ended May 31, 2018