Given the points (6, -6) and (1,7) find the slope.

The given linear system is:

[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]

Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.

When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.

[tex]5x+3y=1\\-5x-7y=31[/tex]

[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]

Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.

Divide both sides by -4:

[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]

[tex]\displaystyle y=-8[/tex]

Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.

[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]

Open the parentheses and multiply:

[tex]5x-24=1[/tex]

Move 24 to the other side to leave the variable alone:

[tex]5x-24+24=1+24[/tex]

You will be adding since you're "removing" it by doing the opposite of it.

[tex]5x=25[/tex]

Lastly, divide both sides by 5 to leave x alone.

[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]

[tex]x=5[/tex]

[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]

The answer is (5, -8).

Given:

The team typically has 25% of the players in the tryouts process come back for a second evaluation.

The team asked 17 players back for a second evaluation.

To find:

The players showed up for the first tryout.

Solution:

Let x be the number of players showed up for the first tryout.

According to the question,

[tex]25\%\text{ of } x=17[/tex]

[tex]\dfrac{25}{100}x=17[/tex]

[tex]\dfrac{1}{4}x=17[/tex]

Multiply both sides by 4.

[tex]x=17\times 4[/tex]

[tex]x=68[/tex]

Therefore, 68 layers showed up for the first tryout.

Answer:

68

Step-by-step explanation:

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

Answer:

107.76

Step-by-step explanation:

We are told in the above question that:

He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?

We solve the above question by:

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore, he flew 107.76 miles each hour

Answer:

237 is how much it changed

Step-by-step explanation:

all you do is 287 - 50 thats ur answer

Answer:

ms baker

Step-by-step explanation:

9/10 = 90%

10/12= 83

Answer:

Ms.Baker

Step-by-step explanation:

9/10 > 10/12 or 0.9 > 0.833333. Next time try to make equivalent fractions with the same denominator or convert to decimal then compare.

Answer:

7

Step-by-step explanation:

Answer:

y=-3

y=3/4x +0

Step-by-step explanation:

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details

Step-by-step explanation:

Answer:

Step-by-step explanation:

P=2x+2y+4

y=p/2-x-2

The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Solve for y P=2x+2y+4

From the data given in the question:

The linear equation is:

P=2x+2y+4

To solve for make the subject as y:

2y = P - 2x - 4

y = (1/2)[P - 2x - 4]

Or

y = P/2 - x - 2

Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer: y=4x+9

Step-by-step explanation:

M= 1+11/-2+5= 12/3= 4

y=mx+b

1=4(-2)+b

1=-8+b

b=9

y=4x+9

Answer:

Distrubutative property

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

Answer:

The slope is -3

Step-by-step explanation:

y=-3x-9

Answer:

[tex](.2246 \\ 5513[/tex]

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

https://brainly.com/question/9353378

Answer:

110⁰!!

Step-by-step explanation:

so this is an isosceles triangle! the base angles are always equal to each other. since 35 is a vertical angle, the base angle vertical to that would be 35. and since base angles ALWAYS equal each other, they would both be 35.

35+35=70, 70 is the base angles added up

180-70=110

c=110

Answer:

D) 117

Step-by-step explanation:

All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.

Answer:

The correct answer is C(11,7)

Step-by-step explanation:

I had this question and got it right lol

The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).

The coordinates of the preimage would be :

x  = x cos θ + y sin θ

y = x sin θ + y cos θ

Here x = -11 ,y = 7 and θ = 270°

Substitute the values in the above equations,

x  = (-11) cos 270° + 7 sin 270° = -7

y = (-11) sin 270° + 7 cos 270° = 11

Therefore, the required coordinates of the preimage are (-7, 11).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

Answer:

Answer: B

Step-by-step explanation: y=-1/5x+1/10

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62

Answer:

A) 16/40

B) P(H)= 0.4

Step-by-step explanation:

A) 16+24=40 is your denominator.

16 times it landed heads up, so  16/40

B) 16/40 as decimal (16 divided by 40) = 0.4

P= probability

(h)= (Heads up)

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

The parent cosine function is cos(x)

Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

The negative sign in the function gives a reflection across the x-axis

The 0.1 factor of the cosine function gives a compression of 0.1

The constant -4, gives a vertical translation 4 units down

Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.

Answer:

✔ vertical compression by a factor of 0.5

reflection across the y-axis

✔ vertical translation 3 units down

vertical stretch by a factor of 0.5

✔ reflection across the x-axis

vertical translation 3 units up

vertical translation 0.5 units down

or A.), B.), and D.)

The function rule y = –0.5cos(x) – 3 describes graph

✔ c shown.