Mathematics High School

Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3

Answers

Answer 1

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x. Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

Related Questions

Can i have some help please!!

Answers

Answer: $93649

Step-by-step explanation:

Since this is an exponential growth problem, then we can use the equation 50,000(1.04)^16. Solve it and you get 93649.06228. Round to the nearest dollar, which is probably whole number, so it is 93649.

When h is 1/2 and j is 1/3,g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

Answers

Answer:

The value of g is 144 when h is 2 and j is 3 .

Step-by-step explanation:

If g varies jointly with h and j.

g = khj

Where k is the constant of proportionality.

Put value in the above

k = 4 × 6

k = 24

As when h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .

Question 5 Multiple Choice Worth 5 por 03 01 LC) The social studies teacher wants to know whether the students in the entire school prefera model United Nations random sample from the following groups Al teachers in the school . Al boys in each grado • A students in each grado All students in the social studies club Which group best represents the population he should take a random sample from to get the best for ham O Al teachers in the school O All boys in each grade O All students in each grade O AB students in the social studios club

Answers

Answer:

Step-by-step explanation:

Solve the following equation when x =
2 and y = 4.
3x + 2y + 4 =

Answers

3(2)+2(4)+4=18 so the answer is 18

Step-by-step explanation:

the answer is x=-4 ,y=-5

what’s 3-4?
this definitely wasn’t to give points :) how was your day? did you drink and get enough to eat?

Answers

Answer:

yuh, did you bestie

Step-by-step explanation:

≤))≥

_| \_

Answer:

-1 and I hope everyone reading this has a great day!

ayudaaaaaaaaaaa por favor

Answers

Answer:

ayuda te solo no eres tonto o si?

Step-by-step explanation:

What is the Surface Area of the Triangular Prism below?

Answers

Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

which of the following expressions are equivalent to -2/3? select all that apply

A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4

Answers

Answer:

Step-by-step explanation:

-1/9×6=

-1/9×6/1= -6/9 = -2/3

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

-8/9 × 3/4 = -24/36 = -2/3

Four times a first number decreased by a second number is 19. The first number increased by four times the second number is −8. Find the numbers.

Answers

Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

HELPPP!!
Find the value of x in the parallelogram!

Answers

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.

Answers

Answer:

x intercept = -3.15

y intercept = 6.3

Step-by-step explanation:

Given the expression

-6x+3y=18.9

x intercept occurs at y = 0

-6x+3(0)=18.9

-6x = 18.9

x = -18.9/6

x = -3.15

Hence the x intercept is -3.15

y intercept occurs at x= 0

-6(0)+3y=18.9

3y = 18.9

y = 18.9/3

y = 6.3

Hence the y intercept is 6.3

No image, Find the volume of a garden
seat in the shape of a
triangular prism with a height
of 30 inches and a base area
of 72 in^2 *Hint* Base
area means
they have
already
calculated
the area of
the base for
you! 

Answers

Answer:

volume = 720 in³

Step-by-step explanation:

volume = 1/3Bh = 1/3 x 72 x 30 = 720 in³

4. Write neatly and legibly.
QUESTION 1
1.1
Find the sum:
1.1.1 2+6+(-7) + 10 = 11

Answers

Find the sum:

1.1.1 2+6+(-7) + 10 = 11

11=11

Hey
So first you need to remove the brackets

When there is a in front of an expression in brackets, the expression remains the same

2+6-7+10=11

Then combine the numbers and it comes out as 11 so it’s true

What is angle BXC and why?? Please help

Answers

Answer:

BXC=70 degrees

Step-by-step explanation:

XBC = 55

corresponding angles are equal

XCB=55

isosceles base angles are equal

BXC=70

angles in a triangle add up to 180 degrees

Most quadratic equations have______roots?

Answers

Answer:

equal

Step-by-step explanation:

Most quadratic equations have equal roots.

Each letter in the word THEORETICAL is placed on a separate piece of paper and placed in a
hat. A letter is chosen at random from the hat. What are the odds against pulling a T?

Answers

Answer:

sorry men this is not the answer

Step-by-step explanation

Which of the following are characteristics of a tortoise in a desert environment that distinguish the tortoise as a living thing?
Choose the THREE that apply.
A. It needs food.
B. It reproduces.
C. It uses energy.
D. It takes up space.
E. It is made up of atoms.

Answers

Answer:

Step-by-step explanation:

hope this helps ❤️

Answer
B.
A.
E.
It’s not c because there are many things that can contain energy

Can someone plz help me with the answer

Answers

Step-by-step explanation:

[tex] \frac{12 \times 8}{2} + {( \frac{8}{2}) }^{2} \pi = \\ = 48 + 16\pi[/tex]

98.24

What is the volume of the figure?
6 cm
3 cm
8 cm
2 cm
A
3 X 2 X 6
B.
6 X 8 2
C.
8 * 2 * 3
D.
3 * 2 * 8 * 6

Answers

8 x 2 x 3 is the volume

Answer:

The given figure is a cuboid

it's volume = length × breadth × height

so the answer should be option (c) 8 × 2 ×3

Find the next two terms in
the sequence 11, 7, 3,-1,

Answers

Answer:

The next term will be -5.

Step-by-step explanation:

This is actually an AP with a = 11 and common difference d = -4.

Therefore next term will be -1 - 4 = -5

Answer:

Step-by-step explanation:

The numbers in this sequence come by subtracting 4 so

11, 7, 3, - 1, - 5, - 9, - 13

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT

~no links pls~

Answers

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

please help

If 2500 square feet of grass supplies enough oxygen for a
family of four, how much grass is needed to supply oxygen for a family
of five?

Answers

Answer:

3125

Step-by-step explanation:

first, find the unit rate.

2500/4=625

625= amount of oxygen needed to supply a family of one(or just one single person)

625*5=3125

***with these problems, always try to find the unit rate first which is the amount of something per one unit. it'll be helpful to solve the questions following it.

Thank you in advance.

Answers

I think it’s C, my friend took the test, and he said C. Tell me if incorrect

Please help me in it! It's very difficult, i'm in 6th and I still don't understand this. Please, help me in this!!!

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the lines on the very end are your subtrct the the lowest one from the highest one

OOOF MATH HELP EASY thank you

Answers

Answer: B.)

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Please help due in 5 minutes

Answers

i wish i could help, sorry

A triangle has three angles that measure 50 degrees, 28 degrees and 3x. What is the value of x?

Answers

Answer:

57.33

Step-by-step explanation:

50+28+3x=180

78+3x=180-78

3x=172/3

x = 57.33

Pls help this is sooOOOOOOO annoying!!
(07.06)Number line with closed circle on 9 and shading to the left.

Which of the following inequalities best represents the graph above?

a > 9
a < 9
a ≤ 9
a ≥ 9

Answers

Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right

(- x * y) ^ 2 - 8x ^ - 7 * y ^ - 2

I need help fast!!!
What is the answer??

Answers

Answer:

answer is \/

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I can't figure it out

Answers

Answer:

V = 17,371.8

Step-by-step explanation:

V = π r^2 h

V = π (12)^2 (38.4)

V = 17,371.75073729

V = 17,371.8

You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h

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