Mathematics High School

Which statements are true about the ordered pair (−1, 5) and the system of equations?

Which Statements Are True About The Ordered Pair (1, 5) And The System Of Equations?

Answers

Answer 1

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

[tex]x+y=4\\x-y=-6[/tex]

Solving the system of equations to find values of x and y

Let:

[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]

Adding both equations to find value of x

[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]

Put x=-1 and y=5 in equation 2

[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]

So, both equations are true.

Therefore, Option D is correct answer.

Related Questions

I'm confused about this question

Answers

Answer:

the answer is 3

Step-by-step explanation:

6x+5 = ru what is ru?

Answers

Answer: 65

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Find a ratio equivalent to
2/2
X
3/6
whose second quantity is 1.

Answers

Answer:

2/2 has a ratio equivalent to 1

3/6 has a ratio equivalent to 0.5

Step-by-step explanation:

The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide. Stephanie would like to buy and store a ladder in the shed diagonally. What is the maximum height, in feet, of a ladder she can buy to fit through the door?

Answers

Answer:

the answer is 6 ft hope it helps

The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide.

Now, By using Pythagoras theorem;

The length of a ladder she can buy to fit through the door is, x

⇒ x² = 6² + 3²

⇒ x² = 36 + 9

⇒ x² = 45

⇒ x = √ 45

⇒ x = 6.7 feet

Thus, The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ2

Find the GCF of 22ab 2c 2 and 40a 3c 2.

Answers

Answer:

2ac^2

Step-by-step explanation:

Factors:

22ab^2c^2 = 2 * 11 * a * b * b * c * c

40a^3c^2= 2 * 20 * a * a * a * c * c

GCF:

= 2 * a * c * c

= 2ac^2

Answer:

40a

Step-by-step explanation:

Factor completely x3 + 7x2 + 3x + 21.help meeeee

Answers

Answer:

(x+7) (x^2+3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping. Hope this helps!

Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $6.75. How much
would Marco spend on 2 bags of cat food?

Answers

Answer:

6.75/3=2.25

2.25 per bag

2.25x2=4.5

Step-by-step explanation:

$4.50 for 2 bags

what type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?

Answers

we can form an Isosceles triangle using the given measures. Step-by-step explanation: We are given the measure of three sides of a triangle.

Find the measure of the missing angles.

Answers

Answer:

The measure of C is 123°

The measure of B is 57

PLEAZE CORRECT IT OUT IM SORRY

JKLM is a rhombus. Find JK. PLZ HELP!

Answers

Answer:

JK=8

Step-by-step explanation:

the sides are equal so set KL equal to LM

b+5=3b-1

b=6=3b

6=2b

b=3

b+5

3+5

8

Using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.

What is a Rhombus?A rhombus is a quadrilateral.The four sides of a rhombus are congruent, that is, they have equal measure.

Thus:

KL = ML

Substitute

b + 5 = 3b - 1

Solve for b

b - 3b = -5 - 1

-2b = -6

b = 3

Find JK

JK = KL = b + 5

JK = b + 5

Plug in the value of b

JK = 3 + 5

JK = 8

Therefore, using the property of the sides of a rhombus, the missing length is determined as: B. JK = 8.

Learn more about rhombus on:

https://brainly.com/question/3050890

A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h

Answers

Answer:

The height of cylinder is 9 cm

Step-by-step explanation:

Volume of cylinder = 198 cm³

Base Area = 22 cm²

We need to find height of the cylinder

The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]

Where [tex]Base\: Area = \pi r^2[/tex]

First we need to find radius r

[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]

So, we get radius r = 2.656

Putting values of volume and radius are to find height

[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]

So, the height of cylinder is 9 cm

help me please please.

Answers

9514 1404 393

Answer:

 $6.56

Step-by-step explanation:

The value is found by multiplying:

  32% of $20.51 = 0.32 × $20.51 = $6.5632 ≈ $6.56

4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN

Answers

4(10s)-20-50s-12+4s
40s-20-50s-12+4s
-6s+-32

Taylor walks 7 miles in 2 hours. At what unite rate dose Taylor walk

Answers

Answer:

C

Step-by-step explanation:

Unit rate means that the denominator of the units has to be 1: units have to be miles/1 hour

Thus divide miles by hours to get the unit rate. The answer would then be 7/2 miles/1 hour

using the function f(x) = -3 x -5, calculate f(-7)

Answers

Answer: X=16

Explanation: when you plug in -7 for x in the equation you have and just multiply it by -3 you will get 21 then subtract 5 and that will give yo 16

What is the slope of the line?

Answers

Answer:

I believe m=-5/3

Tell which number is greater.

17%, 4/25

Answers

17%, 4/25 would equal 16 percent hence 17% is greater.

g(-3) if g(x)=2x-4 show your work

Answers

Answer:

g(-3) = -10

Step-by-step explanation:

All you have to do is plug -3 in for x!

g(-3) = 2(-3) - 4

g(-3) = -6 - 4

g(-3) = -10

Solve the equation.

4b+3=−9

Answers

Answer:

b=-3

Step-by-step explanation:

4b+3=−9

-3 -3

4b=-12

4b/4 =-12/4

b=-3

The depth of a lake is 15.8 m.
Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get?

Answers

Answer:

16 m

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

I need help. For khan academy. Explain if you can

Answers

Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number

If , 9/24=3/X then x is

Answers

Answer:

this is your answer

I hope it helps you

:-))

Answer:

X=8

Step-by-step explanation:

9/24=3/x

reduce fraction with 3

3/8=3/x

Simplify the equation using cross-multiplication

3x=24

Divide both sides of the equation by 3

x=8

Raul calculated that he would spend $125 on school supplies this year. He actually spent $87.50 on school supplies. What is Raul’s percent of error?

A 42.9%
B 37.5%
C 30%
D 3%

Answers

Answer:

C 30%

Step-by-step explanation:

87.50/125= 0.70

1-0.7-0.3

Answer:

42.9%

Step-by-step explanation:

So you would use [ ((V2 - V1) / |V1|) * 100 ]

V1 = 87.5 to V2 = 125

= ((125 - 87.5) / |87.5|) * 100

= (37.5 / 87.5) * 100

= 0.428571 * 100

= 42.8571% change

= 42.8571% increase

Then you round to 42.9!

Hope it helps! :)

Please help me 10 points pls

Answers

Answer:

8/12 and 6/12

Step-by-step explanation:

Hope this helps!

Can somebody help me with this. Will mark brainliest.

Answers

A
Choice 1

Perimeter changes by factor of 2/3


(-4a^2 -5a + 7) + (a^2 + 8a)

Answers

Answer:

-3a^2 + 3a +7

Step-by-step explanation:

Hopefully, this is what you're looking for

I just simplified it :)

Answer:

i simplified it

Step-by-step explanation:

-3a^2 + 3a +7

f(x) = -6x-1
f(-1/2) = ?

Answers

Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

Show all work to factor x^4 − 17x^2 + 16 completely.

Please explain how you got your answer and show the steps. I completely forgot how to do it over winter break.

Answers

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Help please help desperate due today..

Answers

Answer:

54 Students on each bus

Step-by-step explanation:

I got that answer by subtracting 16 to 232 which got me 216 then i divide 4 and got 54!

Hope this Helps! :)

Answer:

54

Step-by-step explanation:

First you do 232-16 which is 216 then all you do is divided 216 by 4 which is 54!

I hope this helps and have a great day!

Given m || n, find the value of x.
(Check link)

Answers

Answer:

160

Step-by-step explanation:

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