lines y = -x+2 and y=x+1
point of intersection of the linear equations is

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Lines Y = -x+2 And Y=x+1 Point Of Intersection Of The Linear Equations Is(0,2)(0.5, 1.5)(-1,0)(2,0)

Answers

Answer 1

[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]


Related Questions

10-4/4x89-1/2+43992/69x174

Answers

10.127781530000000000

In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.

Answers

Answer:

32 degrees

Step-by-step explanation:

The law of cosines can be used for this:

 h^2 = f^2 +g^2 -2fg·cos(H)

 cos(H) = (f^2 +g^2 -h^2)/(2fg)

 cos(H) = (650,500/763,600)

 H = arccos(6505/7636) ≈ 31.5826°

What is the equation to find the slope
m=

Answers

Answer:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

Answer:

[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]

Step-by-step explanation:

The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,

[tex](x_1,y_1), and (x_2,y_2)[/tex].

Hope it helps :) and let me know if you want me to elaborate.

What factoring pattern can you use to solve x^2+14x+49=0

A (ax+√c)^2=0

B (√a*x+√c)^2=0

C (√a*x+c)(√a*x-c)=0

D (ax+√c)(ax-√c)=c

Answers

Answer:

  B  (√a*x+√c)^2=0

Step-by-step explanation:

It can be helpful to look a the expanded form of each of these factoring patterns.

  A (ax+√c)^2=0   ⇒   a^2x^2 +2a√c*x +c = 0

  B (√a*x+√c)^2=0   ⇒   ax^2 +2√(ac)*x +c = 0

  C (√a*x+c)(√a*x-c)=0   ⇒   ax^2 -c^2 = 0

  D (ax+√c)(ax-√c)=c   ⇒   a^2x^2 -c = c

If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.

Choice B is the only sensible one, and fits the given equation.

  a = 1, c = 49   ⇒   √a = 1, √c = 7

  x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B

Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?

Answers

2% of 350 is 7, so Bentley sold 7 cards on Mother's Day

Help help help math nath

Answers

Answer:

12

Step-by-step explanation:

plug in -7 where x is

5 - (-7) = 12

Answer:

12

Step-by-step explanation:

plug in -7 where x is

5 - (-7) = 12

It's pretty simple!

I hope this helps you

Calculate 1.25 X (3)

Answers

Answer: 3.75 is your answer!

Step-by-step explanation: hope i helped my answer is 100% correct

3.75 this the answer man 3.75

Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

Answers

Answer:

8 kiwis

Step-by-step explanation:

32/16= 2

2 kiwi for $1

4*2= 8

Answer:

8

Step-by-step explanation:

Method 1:

32 kiwi = $16

(÷4)

8 kiwi = $4

(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)

Ans: 8

Method 2:

$16 ÷ 32 = $0.50 (cost of 1 kiwi)

$4÷$0.50=8

geometry - please help

solve for x & y

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?

Answers

Answer:

7 quarters

Step-by-step explanation:

i need help again lol last one tho​

Answers

Answer:

B.

Step-by-step explanation:

x^4

please mark brainliest

[tex](x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4[/tex]

5. Name a pair of supplementary angles.

6.Name a pair of vertical angles

7.Name a pair of adjacent angles

(Please answer if u can!)

Answers

Answer:

5. Angles FGE and CGE are supplementary

6. Angles FGE and BGC are vertical

7. Angles FGE and GED are adjacent

Step-by-step explanation:

Problem 5

Answer: Angle EGF and angle FGB

Explanation:

The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)

========================================================

Problem 6

Answer: Angle AGB and angle EGD

Explanation:

Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)

========================================================

Problem 7

Answer: Angle BGC and Angle CGD

Explanation:

The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)

A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?

Answers

Answer:

The answer would be 5 Girls and 4 Boys.

Step-by-step explanation:

15 Girls divided by 3 groups= 5 girl groups

12 boys divided by 3= 4 boy groups

Answer:

3+3=6

the answer is 6 many groups created

60 Point Question Answer ASAP! Brainliest to best/first answer

Answers

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please

Answers

12 cupcakes = $3.48
1 cupcake = $3.48/12 = $0.29

Each cupcake must equal $0.29. To prove this, if we multiply 0.29 by 12, we should get her original cost of $3.48.

If 3 cans of beans cost 90¢, how many can you buy for $2.70?



If you can buy 10 juice packs for $3.00, how much will you spend to buy 4 juice packs?

please answer asap

Answers

9 cans of beans and spend around 13.25 dollars

Answer:

Step-by-step explanation:

1. 3 cans cost 90 cents

3=0.90 & x=2.7

by ratio:

3/0.9 = x/2.7

0.9x=8.1

x= 9

So you can buy 9 cans for 2.7 dollars

2. 10 Juice cost 3 dollars

by ratio:

10/3 = 4/x

10x=12

x=1.2

so you will spend 1.2 dollars to buy 4 juice packs

The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?

thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

8. Beth doesn’t begin to receive commission until she reaches $50,000 in sales. Once she does, her commission rate is 12%. If she sells cars totaling $115,000, how much money does she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400
PLEASE HELP ME

Answers

Answer:

The Answer Is A. $13,800

Step-by-step explanation:

Which of the following is the ratio of 5 cm to 10 km​

Answers

Answer:

1/200000

Step-by-step explanation:

first 10 km equals to 1000000cm

so 5/1000000cm

equals to 1/200000

What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0​

Answers

Answer:

x = (−2 ± √−12)/2

Step-by-step explanation:

Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):

At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.

Answers

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

What does: 8w+22=34 equal?

Answers

Answer:

3/2

HOPE I HELPEDD

Answer:

w= 1 1/2

I dont know if thats the question youre asking, if its not tell me.

Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?

Answers

Answer:

26%

Step-by-step explanation:

Well, we need to find what percent 3.25 is of 12.50.

12.50*x=3.25

3.25/12.50=.26

26% is saved.

Fill with possible values to make the statement true in 2 diffrent ways:
35 is _% of _​

Answers

Answer:

35 is 35% of 100 and 35 is 17.5% out of 200

Step-by-step explanation:

5. Randall wants to buy a pizza. He can
select from 4 different sizes (s,m,Ixl), three
types of crust (pan, thin, hand toss), and
two toppines (cheese or pepperoni). How
many different outcomes of pizza can
Randall order?

Answers

Answer: 18 outcomes

Step-by-step explanation:

For the small:

pan+cheese

or

pan+pepperoni

or

thin + cheese

or

thin + pepporoni

or

hand + cheese

or

hand + pepperoni

which is 6 outcomes

then 6x3(because of the sizes) is 18.

Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.

Answers

Answer:

  3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.

PLEASE HELP. I'LL GIVE BRAINLIEST.

Find the missing value to complete the square. So what is the value of the question mark that would make the equation true.

x² + 8x + ?

Answers

Answer:

16

Step-by-step explanation:

(x+4)(x+4)

Answer:

The answer is 16.

Step-by-step explanation:

Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

[tex]\frac{8x}{2} \\\\4^2=16[/tex]

The last number must be 16. Let's check it.

[tex](x+4)^2=x^2+8x+16[/tex]

Drag and drop the answers to the boxes to correctly complete the proof.
Given: Rhombus JKMH with diagonals intersecting at point P
Rhombus J K M H with diagonals J M and H K intersecting at P

Prove: JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯

By the definition of Response area, JK⎯⎯⎯⎯⎯≅KM⎯⎯⎯⎯⎯⎯ and by the reflexive property of congruence, KP⎯⎯⎯⎯⎯≅KP⎯⎯⎯⎯⎯ . Because the diagonals of a rhombus bisect a pair of opposite angles, ∠JKP≅∠MKP , making △JKP≅△MKP by the Response area. Because Response area, ∠JPK≅∠MPK, and these angles are right angles because two angles that form a linear pair are congruent, thereby making JM⎯⎯⎯⎯⎯⊥HK⎯⎯⎯⎯⎯⎯ by the definition of perpendicular segments.
Response area means blank
The answers are Congruent segments, a rhombus, a parallelogram, SSS congruence postulate, ASA congruence postulate, SAS congruence postulate, CPCTC, they are adjacent, and vertical angles are congruent

Answers

The completed proof is presented as follows;

By definition of a rhombus [tex]\overline{JK} \cong \overline{KM}[/tex] and by the reflexive property of

congruence [tex]\overline{KP} \cong \overline{KP}[/tex], because the diagonals of a rhombus bisect a pair

of opposite angles, ∠JKP ≅ ∠MKP, making ΔJKP ≅ ΔMKP by the SAS

congruency postulate, because CPCTC, ∠JPK ≅ ∠MPK, and these angles

are right angles because two angles that form a linear pair are congruent,

thereby making, [tex]\overline{JK} \perp \overline{KM}[/tex] by definition of perpendicular segments.

Reasons:

Please find attached the drawing of the given rhombus JKMH, that show

the point of intersection of the diagonals JM and HK at point P.

A rhombus is an equilateral quadrilateral, therefore, the adjacent sides [tex]\overline{JK} \ and \ \overline{KM}[/tex] are congruent.

The SAS congruency postulate states that if a triangle has two sides and an included angle that are congruent to two sides and an included angle of another triangle, then the two triangles are congruent.

CPCTC is an acronym for Congruent Parts of Congruent Triangles are Congruent.

Learn more about the properties of a rhombus here:

https://brainly.com/question/10618409

All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer​

Answers

A two-way relative frequency table  consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift                                     Response                              

                          Yes                        No                        Total

Day            

                          67%                  33%                     100%

Night              

                           23%                      77%                    100%

Total            

                         45%                              55%              200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift                                     Response                              

                          Yes                        No                        Total

Day                  67/100*100           33/100  *100           100

                             = 67%                  =33%                     100%

Night                23/100*100           77/100*100               100

                          = 23%                     =77%                        100%

Total              90/200 *100               110/200*100           200

                         = 45%                       =   55%                   200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

For more understanding of  two-way frequency table click

https://brainly.com/question/6985885

https://brainly.com/question/16410093

https://brainly.com/question/2815014

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

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