What is the solution to the system of equations below?
y=-1/3x+6
and x = -6
(-6,8)
(-6,4)
(8,-6)
(4, -6)

Answers

Answer 1

Answer:

(-6,8) is the answer using substitution method.

Step-by-step explanation:

y= (-1/3)(-6)+6

y= 2+6

y=8, x=-6

=(-6,8)

Answer 2

Answer:

The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].

Step-by-step explanation:

Since the number of equations and number of variables is the same, there is only one solution. Let [tex]y = -\frac{1}{3}\cdot x + 6[/tex] and [tex]x = -6[/tex], the solution of this system is found by evaluating the first function, that is:

[tex]y = -\frac{1}{3}\cdot (-6)+6[/tex]

[tex]y = 2+6[/tex]

[tex]y = 8[/tex]

The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].


Related Questions

Whats the y-intercept of the line x + 6y = -18

Answers

Answer:

18

Step-by-step explanation:

Answer:

it's −3

Step-by-step explanation:

a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram

Answers

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

The height of the parallelogram is 12 meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.

The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².

The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.

Since the area of the parallelogram is twice the area of the rectangle, we have:

2A1 = A2

2(36 m²) = 72 m²

So the area of the parallelogram is A2 = 72 m².

We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:

A2 = bh

72 m² = (6 m)h

h = 12 m

Therefore,

The height of the parallelogram is 12 meters.

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Write a whole number that round to 2000 if we are rounding to the nearest thousaand

Answers

Answer:2200

Step-by-step explanation:

Easy peesy lemon squezzy

1999 easy peasy lemon Squeezy

whose
The boy ..... dog was hit by a car has not been to school for 3 days,​

Answers

Step-by-step explanation:

huh what you are trying to say

Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?

Answers

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

At a used bookstore, Cindy bought 2 paperback books for $1.75 and some children's books for $0.75 each,
including tax. She spent a total of $5.75. How many children's books did Cindy buy?
A. 3
B. 4
C. 5
D. 7
Ο Α
B
ос
D

Answers

C. 5 bc u jus gotta add it on the calculator

Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?

Answers

Step-by-step explanation:

Amount of additive in each can

= Total amount of additive / Number of cans

= (1/2 of a pint) / (3)

= 1/6 of a pint.

Noah put 1/6 of a pint of additive in each can.

A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?

Answers

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

Answer:

$56.16

Step-by-step explanation:

To find the sale price, multiply the original price by 0.75:

74.88(0.75)

= 56.16

So, the sale price is $56.16

1) An item has a regular price of x dollars. It is being sold at a 40% discount. Write two
expressions that could be used to determine the sale price.

Answers

Answer:

Step-by-step explanation:

Your answer

Price = x dollar. Discount = 40%

Discount price is 0.4x

Net price = x-0.4x= 0.6x

Mark it as Brainlist answer. Follow me.

Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) Question 10 options: 1) Part A 2) Part B 3) Part C 4) Part D

Answers

Answer:

It's Part B

Step-by-step explanation:

Got it right!

21 divided by 4,857 with remainder

Answers

The answer is 231 R6

Find the surface area of the rectangular prism with a length of 3 cm, a width of 2 cm, and a height of 6 cm

Answers

The surface area is 72cm

Given the linear equation & its graph, what is the slope?​

Answers

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00

Answers

the answer is B. $140

Answer:

B.$149.00

Step-by-step explanation:

=$42.00÷3=$14.00

=$14.00×10=$140.00

Im sorry if this not helpfull

Have a nice day

Find the perimeter and area of the semi circle

Answers

Answer:

Step-by-step explanation:

Perimeter of a semicircle with diameter d = πd/2 + d

Solve the equation. n/10+8=15

Answers

Answer:

n = 70

Step-by-step explanation:

n/10 + 8 = 15

n + 80 = 150

n = 150 - 80

n = 70

Answer:

n = 70

Step-by-step explanation:

1) Subtract  8 from both sides of the equation

n/10 + 8 - 8 = 15 - 8

2) Simplify

n/10 = 7

3) Multiply all terms by the same value to eliminate fraction denominators

10 · n/10 = 10 · 7

4) Simplify

n = 70

so your answer is n = 70. Hope that helps!

A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.

1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?

2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?

Answers

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.

Solve the answer for n
4/5 = n/3

Answers

Answer:

2.4

Step-by-step explanation:

4/5 = n/3

Cross multiple

4*3 = n *5

12= 5n

12/5 = 5n/5

n= 2.4

Lisa was hiking Death Valley and began at the elevation of 300 feet. She hiked down 450 feet. At what elevation did she end her hike

Answers

750 feet plz give brainlest answer

2
Find the quotient when x + 11x + 18 is divided by
x +9

Answers

Answer:

(12x + 18)/(x+9)

Step-by-step explanation:

We have: (x + 11x + 18)/(x+9). First simplify this equation by adding like terms.

(12x + 18)/(x+9), which is your answer. This is the final answer because we can't simplify this expression anymore.

Your grandfather has enjoyed good vision for most of his 80 years. You observe him having trouble reading websites on his new iPad, squinting while he moves it towards and away from his face. You realize he might benefit from reading glasses. Since you were going out anyway, you offer to pick up a pair of glasses for him at the drug store. Consider that your grandfather is at his most comfortable reading posture when he is holding the iPad at a distance of 18 inches.

a. What dioptric power of reading glasses should you get for your grandfather? Note that reading glasses are normally available in increments of 0.25 Diopter.

b. It occurs to you that you could have just shown grandpa how to make the displayed content appear larger on the iPad by adjusting the display "zoom". What percentage zoom (100% is the default view, 200% would make text and images twice as large) would give your grandfather a similar viewing experience to wearing the reading glasses you were planning to purchase?

Answers

Answer:

Step-by-step explanation:

Given that:

The focal point = 18 inches

= (18 × 0.0254)m

= 0.4572 m

= 45.7 cm

For such a comfortable distance of 45.7 cm, the perfect lens power for grandfather can be determined.

Let's recall that, the accommodation amplitude usually decreases with age and eventually becomes 1 D after the age of 50.

Thus, +2.5D  or a convex lens appears to be a perfect one.

b. We will agree that Diopter illustrates the optical power or most at times the capability of the lens.

So, 3D is equally 1.75X magnification which is likely to be double the zoom as it will be helpful to the grandfather.

Now, for a 2.5D, approximately 1.5X zooming once(200%) will be perfect and equal to viewing with the reading glasses.

Can you prove these similar triangle step by step?

Answers

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.

hopes this helps

Step-by-step explanation:

bro please help me ill give brainliest to the first one to answer correctly. its for some iready assessment

Answers

Answer : B


Explanation : trust me bro

Answer:

The answer should be B

Step-by-step explanation:

Car A traveled farther at the same rate as Car B but A travelved more so  the answer is B

açıl hızlı cevap verin lütven​

Answers

Answer:12

Step-by-step explanation:

which of the following expressions can be used to show 5^3/2 is equivalent to radical 5^3

Answers

Answer:

Option (4) is correct.

Step-by-step explanation:

We need to show that [tex]5^{3/2}[/tex] is equivalent to radical [tex]\sqrt{5^3}[/tex].

We can do it as follows :

[tex]\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}[/tex]

Hence, the correct option is (4).

Answer:

last two options

Step-by-step explanation:

Which sign makes the statement true? 1 ​

Answers

The sign that makes the statement true is < (less than): 1/3 < 2/3.

What is inequality?

In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.

Here,

The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.

To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.

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Is borrowing money a

Delegated power
Reserved power
Concurrent power

Answers

I believe that it is a concurrent power

Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.

Answers

Answer:

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Step-by-step explanation:

The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.

Current value of asset price = Sn  after evolvement of asset price in reference to binomial model

Hence at every  step value changes to SnU and Snd

where ; d < e^rΔT < u  and Δ T = length of each step

u = ups

d = downs

Determine the time zero price of the above option

First we will find the price after each period

After one period :

when the price goes up, Sn + ΔT = Su

when the price goes down, Sn + ΔT = Sd

After  period two

For Su

when price goes up, Sn +2ΔT = Su2

when price goes down, Sn +2ΔT = Sud

For Sd

when  price goes down, Sn +2ΔT = Sd2

when price goes up, Sn +2ΔT = Sdu

To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is

sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]

[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]  

Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1

Answers

Given:

The ratio is [tex]\dfrac{3}{1}[/tex].

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]\tan^{-1}\dfrac{3}{1}[/tex]

                                                 = [tex]\tan^{-1}3[/tex]

Using scientific or graphing calculator, we get

Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]71.565^\circ[/tex]

Round to the nearest degree

Inverse tangent of the ratio [tex]\dfrac{3}{1}\approx 72^\circ[/tex]

Therefore, the correct option is C.

find domain (y-10)/y^2-3

Answers

Answer:

[tex] y 3 - 10 {y 2} - 3[/tex]

Other Questions
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