A system of linear equations is given by these equations 3y-2x=-9 y=-2x+5 The solution to this system is

Answers

Answer 1

Answer:

(3, -1) or x=3, y=-1

Step-by-step explanation:

using substitution for y, the first equation becomes 3(-2x + 5) - 2x = -9

distribution of the 3 gets your equation to be -6x + 15 - 2x = -9

from here you combine like terms to get -8x + 15 = -9

from here it's just a two step equation

subtract 15 from both side to get -8x = -24

divide and get x = 3

substitute x in the equation for y to get y = -2(3) + 5

distribution gets you y = -6 + 5, which makes y = -1

to check your work you can just plug in the variables equivalents in the first equation, which upon doing you can see that the answer is indeed 3, -1

Answer 2

Answer:

(3,-1)

Step-by-step explanation:

Plato


Related Questions

Find the slope of the line through the points (-3, 1) and (-1,5).

Answers

Answer:

See below.

Step-by-step explanation:

(-3,1) and (-1,5)

The formula for finding slope is (y²- y¹)/(x²- x¹).

(5-1)/(-1-(-3))

(4)/(2)

2

The slope would be 2.

-hope it helps

Hi! I hope you're enjoying your day!

Use the Slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{5-1}{-1-(-3)}}[/tex]

[tex]\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}[/tex]

Hence, the slope is

[tex]\boxed{\boxed{\bold{2}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

In the triangle below, suppose that mZc-(4-9). ZD=(31-3), and mLE=x° Find the degree measure of each angle in the triangle.​

Answers

Answer:

Step-by-step explanation:

Describe the term to term rule in this sequence:
10.8.6.4.2...

Answers

Answer:
The sequence from 10 to 8 is 2 from 8 to 6 is 2 so the term to term in this sequence is addition or multiply of 2

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear equation with the correct description.

Answers

This is the Answer to this question  

Please help I will give brainliest.

Answers

(2,0) and (-1/2,0) is the correct answer

Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)

Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.

Find the Area of the trapezoids

Answers

Hey there!

A = ½ (a + b) h,

a =8b = 16h =14

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]

Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
The width of the actual castle is ___feet.

Pleeeeassseee someone help me with this. I'm really struggling, and I'm in the middle of a test. Not to mention I'm being homeschooled, so that doesn't help at all. Any please if you can help, do it.

Answers

i need points, thanks, goodluck!

Estimate the answer to:​

Answers

Answer:

a.  3.76b.  13,102.974

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

Fathi has $1.10 in his printing account. Each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
After Fathi prints, what will be the balance in his printing account?

Answers

Answer: Faith's printing account balance will become $-1.90, or $1.90 below 0.

Step-by-step explanation:

Each sheet of paper can print 4 pages. Since it is 47 pages long, she will need 12 pages. That will cost 3 dollars, since 0.25x12=3. 1.10-3=-1.90 dollars, which means that she is $1.90 in debt.

Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now? ​

Answers

Answer :-

24 years

Solution :-

Let the age of victor be X . and, the age of Mr.Smith be = 81 + x

So, after 3 years = x+81 +3

81 + 3 + x = 4 ( x + 3 ) 84 + x = 4x + 12

now grouping the variables and constants together we get,

4x-x=84-12 3x = 72x = 72/3x = 24

Thus, Victor's present age is 24 yrs.

Hope it helps ya ~

Answer:

Victor's age = 24 years old

Step-by-step explanation:

Let age of Mr. Smith = x and age of Victor = y.

According to the question, we can find two equations.

=> 1) x = y + 81

=> 2) x + 3 = 4(y + 3)

Substituting value of x in (1) to (2)

y + 81 + 3 = 4y + 12

3y = 72

y = 24

Victor's age = 24 years old

Evaluate the following logarithms. log12144 = log151 = log3 ( 1 81 ) = log 0.00001 =

Answers

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

What is Logarithm?

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

Learn more about Logarithm here:

brainly.com/question/30085872

#SPJ7

What tool could you use to measure the angle of a hexagon? Explain how to use the tool you chose. What is the measure?
Pls help me

Answers

Answer: A protractor The measure is 120

Explanation: Line up the vertex of the angle with the dot at the center of the protractor. Line up one side of the angle with 0 degrees on the protractor. Read the protractor to see where the other side of the angle crosses the number scale. (Hopes this helps!)

Explain how to solve the equation. 49= x/7

Part 1
Select the correct choice below and fill in the answer box within your choice.
​(Type a whole​ number.)

A . Subtract _from both sides.

B . Multiply both sides by _

C . Add_ to both sides.

D . Divide both sides by _

Answers

[tex]49 = \frac{x}{7} [/tex]

Multiply both sides of the equation by 7

[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]

[tex]343 = x[/tex]

[tex]x = 343[/tex]

[tex]\green{ \rule{300pt}{3pt}}[/tex]

Option B is the correct choice and the number that comes in the blank is 7...~

13. Is the following the graph of a function? Why or why not? ​

Answers

no. To test whether a graph is a function or not you do the vertical line test where if a vertical line touches more than one point it is not a function

A tennis racket and a tennis ball cost $2.10. The tennis racket costs two dollars more than the tennis ball.

How much does the tennis ball cost?

Sn: I think it’s .10 but I wanna double check.

Answers

Answer:

4 dollars

Step-by-step explanation:

Answer:

4.10$

Step-by-step explanation:

Given: a and b are first-quadrant angles, sin a = 5/13 , and cos b = 3/5 , evaluate cos(a + b).

16/65
33/65
56/65

Answers

Step-by-step explanation:

please mark me as brainlest

please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You take a samosa and cold drink every day for 6 days. The total money spent in 6 days is Rs
6x5+10
6x10+5
10x5+6
6x(5+10)

Answers

The first answer is 40 second 65 third 56 and then fourth 90

help me rn pleasee i dont understand

Answers

Answer:

Step-by-step explanation:

if 1l = 100cl

1l×1/100cl×4=1l /400cl

Belvedere has a swimming pool that needs to be drained. His pool holds 10,567.2 gallons of water and will need to drain completely in 11.8 hours. What is the change in the water level per hour for Belvedere's swimming pool? Round your answer to the nearest hundredth TIE

Answers

Answer:

895.53 gallons per hour

Step-by-step explanation:

rate of change in water level (r) = totals gallons divided by number of hours to drain

r = 10567.2/11.8

r = 895.53 gallons per hour


10. If mACD = (7x - 12) and
mBDC = (10x + 5), find x

Answers

Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.

7x-12 +(10x+5) = 90°

==> 17x -7= 90°

==> 17x = 97°

==> x = 97°/17

==> x = 5.70° (approx)

c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter

Answers

The focus (4,6) and the vertex (3,-6)

Write each number in scientific notation. Show your work/explain.

A. 14,700
B. 0.00083
C. 760,000,000
D. 0.038
E. 0.38
F. 3.8
G. 3,800,000,000,000
H. 0.0000000009

Answers

Answer: [tex]1.47*10^4[/tex]

[tex]8.3*10^{-4}[/tex]

[tex]7.6*10^8[/tex]

[tex]3.8*10^{-2}[/tex]

[tex]3.8*10^{-1}[/tex]

[tex]3.8*10^0[/tex]

[tex]3.8*10^{12}[/tex]

[tex]9.0*10^{-10}[/tex]

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small.

To figure out the power of 10, think "how many places do I move the decimal point?"

1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.

2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.

Solve the quadratic equation in standard form: f(x)=3x^2-6x-4

Answers

Answer: Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

1

)

Step-by-step explanation:

If 14x + 5 = 12, what is the value of x?

Answers

x = 1/2

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2

Hope it helps you!!

David bought a poster for an art project. The poster is 2. 7 feet wide and 3. 9 feet tall. What is the area of the poster? Enter your answer as a decimal in the box. Ft2.

Answers

Answer:

10.53 ft.²

Step-by-step explanation:

Area of a rectangle: length x width

length: 3.9

width: 2.7

3.9 x 2.7 = 10.53

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

The answer should be (6,-1)

Explanation:

Focus on point A since it's asking for that. Then, shift it down vertically -8.

This means you are shifting A down 8 units.

Then they ask for a reflection across the y-axis. The y-axis is the vertical line in the middle, so to do this transformation, just change the x-value of where A is to the opposite.

Midpoint problem. Given two endpoints P1 (8, -4) and P2 (-3, 9), find the midpoint. Enter just the x-coordinate in this problem.

Answers

Given parameters:

 The coordinates are:

                 P1 (8, -4) and P2 (-3, 9)

Unknown:

The midpoint of the endpoints = ?

Solution:

     x₁  =  8

     y₁  = -4

     x₂  = -3

     y₂  = 9

  midpoints;     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]

                                       = [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]

   The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]

(4 7/8) (8 1/10) ( 3) HELP ASAP!!!!!!

Answers

Answer:

8.4

Step-by-step explanation:

(7/8) (4) = 3.5

(1/10) (8) = 0.8

3.5 × 0.8 × 3 = 8.4

Hope this helps.

Lena runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes?

Answers

Answer:

6.4

Step-by-step explanation:

divide 4 by 30 in order to find out how many miles she can run in a minute. I got 0.13333333 and multiplied that by 48, which got me 6.4 as the answer but I'd double check.

Answer:

6.4 millas.

Step-by-step explanation:

es una simple regla de tres:

4 es a 30

x es a 48

x es igual a 48*4/30

x es igual a 6.4

Mary has been hired as a receptionist. She is paid a flat rate of $150 each week and earns an additional
$12.50 for every hour that she works. If her goal is to make $575 in one week, how many hours must Mary
work?

Answers

Answer:

34

Step-by-step explanation:

$575-$150= $425

So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do

$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$

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