3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2

Answers

Answer 1

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!


Related Questions

Which equation represents a line which is parallel to the line y = -5x – 7?

Answers

Answer:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.

Step-by-step explanation:

Answer:

any equation that has -5x +/- any number

Step-by-step explanation:

All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same

Evaluate the following: 18 + 3 |6 - 25| - 11

Answers

Answer:

29

Step-by-step explanation:

18+3|6-25|-11

21+19-11

29

I need help with this problem

Answers

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

"The following is a kite. Find m
Q=79
R=(11x-6)
S=79
T=(4x+13)

Answers

not information please? i don’t know what you want ;))

simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)

Answers

Answer:

2187

Step-by-step explanation:

[tex]3^{6}[/tex] × 3

729 × 3

2187

Answer:

l maooooooo but ill help

its 2187

Step-by-step explanation:

use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first

3x3x3x3x3x3=9x9x9=81x9=729

729x3=2187

what is the answer pls help 5' 2" − 2' 3" =

Answers

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?

a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]

Answers

Answer:

b

Step-by-step explanation:

Help me out with this math please

Answers

Answer:

I believe it is C.

Answer:

B

Step-by-step explanation:

because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.  

Dilation of 2 about the origin

Answers

Answer:

I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.

Step-by-step explanation:

Meaning...

shift ∠U 2 blocks to the left on the x-axis

shift ∠V 2 blocks vertically (up) on the y-axis

shift ∠W 2 blocks diagonally to the right

I really hope this helps! I pray this is correct for your sake!

CAN SUMONE HEEEELP ME PLEASE I DONT UNDERSTAND LIKE THIS TEACHER REALLY THINK IK EVERYTHING SMH BUT ILL GIVE BRAINLY! thank youuu

Answers

Answer:

16,872

Step-by-step explanation:

HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.

examples below:

Answers

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle


Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.

Answers

Answer:

the quotient of a number y and negative three point six is less than six point five.

2496 of what number is 6?
24% of is 6.

Answers

6% of 41600= 2496

Please correct me
If I am wrong :)

Brainiest please

we bought that house last year it is ___​

Answers

Answer:

this year is 2021

Step-by-step explanation:

Answer:

What are the answer choices?

Step-by-step explanation: ??

f(x)= 3x - 5x + 2x – 3

Answers

There is no x-intercept/zero

Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds

Answers

Answer:

StartFraction 1 Over 16 EndFraction of a pound

Step-by-step explanation:

Total pounds of sunflower seeds Jordan bought = 9/16 of a pound

Number of snack bags for his lunch = 9

What is the weight of sunflower seeds in each snack bag?

Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch

= 9/16 ÷ 9

= 9/16 × 1/9

= (9*1) / (16*9)

= 9 / 144

= 1/16

Weight of sunflower seeds in each snack bag = 1/16 of a pound

Answer:

1/16 of a pound aka A is the correct answer.

Step-by-step explanation:

In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units

Answers

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

use the graph to answer these questions. what is the slope and y-intercept?

Answers

slope: -1/4

y-int: -1

y=(-1/4)x-1

HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!

Answers

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.

Answers

HERE I FOUND IT

Find the LENGTH of Arc AB.

Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes

Answers

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659

Answers

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335

At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3

Answers

120 is the answer u neee to multy 7and 99

HELP! WILL MARK AS BRAINLIEST (MATHEMATICS FORM 1 // BASIC ALGEBRA) pls help me answer these 4 question TYSM!!!​

Answers

Answer:

hope this help you a lot but it's too late

can you mark me as brainlist

somebody help me please

Answers

Answer:

B. 3^(2/3)

Step-by-step explanation:

Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?

Answers

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2

16 cars are parked if 1/4 of them are blue how many cars are blue

Answers

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

Helppppppp I’ll give you 10 pointssss plzzz

Answers

Answer:
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.
The answer is 113.14
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