Find the equation of the line (in slope intercept form) passing through the point (6,−2)(6,−2) and parallel to the line passing through (−3,4)(−3,4) and (3,−1)(3,−1).

Answers

Answer 1

the slope of the equation is y1 - y2 divided by x1 x2

Related Questions

if f(x)=-6x+12, then f^-1(x)=

Answers

Hi!

Okay, so let's start with swapping all of the variables.

x = -6y + 12.

We'll start with subtracting both sides by 12. Our goal is to isolate y, and we do so by doing the inverse of the operation on each value.

Since 12 is positive, the inverse of being positive is negative. So, we shall subtract!

x - 12 = -6y + 12 - 12.

Which leaves us with x - 12 = -6y.

Since the -6 is multiplying our variable, the inverse of multiplication is division, so we shall divide both sides by -6.

[tex] \frac{x - 12}{-6} [/tex] = -6y / -6.

Which leaves us with [tex] \frac{x - 12}{-6} [/tex] = y.

Our final answer is:

[tex] f^{-1}(x) [/tex] = [tex] \frac{x - 12}{-6} [/tex].

Hopefully, this helps! =)

f(x) = -6x + 12

y = -6x + 12

Switching y and x, and then solving for y:

x = -6y + 12

6y = 12 - x

y = [tex] \frac{12- x}{6} [/tex]

Hence,

[tex] f^{-1} (x) = \frac{12- x}{6}[/tex]

The measurement 5.22 cm has three significant figures which means that

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Significant figures measures the degree of accuracy of an answer. The more significant figures, the more accurate the answer For example, 5.2200 is much more accurate than 5.22 (Since 5.2200 5 sig figs) 5.22 having 3 significant figures means that it is accurate to the 2nd decimal place.

What is the length of y on this circle

8 units
12 units
10 units
18 units

Answers

Answer: Choice A) 8 units

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

Explanation:

Use the intersecting chords theorem to get

y*6 = 4*12
6y = 48
6y/6 = 48/6
y = 8

Therefore y is 8 units long.

Check:
y*6 = 4*12
8*6 = 4*12
48 = 48
our answer checks out

An ant is roughly 10 superscript negative 3 meters in length and the average human roughly one meter. how many times longer is a human than an ant?

Answers

Ant = 10^(-3) m = 0.001 m
Human = 1 mx = 1 m : 0.001 m = 1 : 1/1,000 = 1 * 1,000 = 1,000Answer: A human is 1,000 times or 10³ times longer than an ant.

PLEASE HELP Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x

f(x) = (x+3)/4

g(x) = 4x - 3

Answers

compose them with eachother

f(g(x))=(4x-3+3)/4=(4x+0)/4=4x/4=x
g(f(x))=4((x+3)/4)-3=(x+3)-3=x+3-3=x+0=x

How would I do this?

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I'm not sure about part B, but part A will have the answer "if Ron eats lunch today, then he will drink a glass of milk" (without quotes of course)

The idea is that we have these arguments in symbolic form
P = Ron eats lunch today
Q = Ron eats a sandwich
R = Ron will drink a glass of milk

The format is
"If P then Q" ----> "if Q then R" so therefore "If P then R"

We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.

How to you find the cotangent of 5(pi)/6?

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To find the cotangent you need to know the points of [tex] \frac{5}{6}\pi [/tex], which is [tex] (-\frac{\sqrt{3}}{2}, \frac{1}{2} )[/tex] One sec more is coming. Now that you know the (x, y) point, you can use the function cot, which cot = [tex] \frac{x}{y}[/tex]. So
cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} [/tex]

cot = [tex]\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} = -\sqrt{3} [/tex]

t - yc = b solve for c (literal equations)

Answers

T - yc = b solve for c
yc = T - b
c = (T - b) / y

hope it helps

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Like equations with the same variable on both sides...

We want to get c by itself...

T - yc = b [Subtract T from both sides]

-yc = b - T [divide -y from both sides]

c = -(b - T)/y

So...

The answer is: c = -(b - T)/y

what is the solution to the inequality 2n+5 > 1

Answers

Final answer:

The solution to the inequality 2n + 5 > 1 is n > -2 after isolating the variable n and simplifying the equation.

Explanation:

The solution to the inequality 2n + 5 > 1 involves some basic algebra. First, we should isolate the variable, n, on one side of the inequality. This is accomplished by subtracting 5 from both sides of the inequality which gives us: 2n > 1 - 5.

Simplifying the right side gives us 2n > -4. Then, we need to divide every term by 2 which gives us n > -4/2. Simplifying further, we find that the solution to the inequality 2n + 5 > 1 is n > -2.

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Solve for c.

a(c + b)=d

A. c = d + ab / a

B. c = d − ab/b

C. c = d − ab/a

D. c = ab − d/a

Solve for b.

d = 3a + 3b

A. b = 3a−d/3

B. b = d−3a/3

C. b = d − 3a

D. b = d − 3a/ a

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.

A = h(a+b)/2

Solve for b.

b=2A−a/h

b=Ah/2 − a

b=2A/h − a

b=2A/h + a

The formula for the perimeter of a rectangle is P = 2(l+w).

Solve for l.

l = 2P − w

l = p−w/2

l = P/2 + w

l = p/2 − w

Answers

a(c + b) = d
ac + ab = d
ac = d - ab
c = (d - ab) / a
==============
d = 3a + 3b
d - 3a = 3b
(d - 3a) / 3 = b
==============
A = h(a + b) / 2
2A = h(a + b)
2A/h = a + b
(2A/h) - a = b
===============
P = 2(L + W)
2P = L + W
2P - W = L

Answer:

Here is your answer for K12 AZVA:

c = d − a b / a

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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?

Which girl bikes faster?

Answers

3400/60 = 56.6666 minutes/60 = 0.94 hours

63360/5280 = 12 miles

12/0.94 = 12.76 miles per hour for Nina

Nina is faster

Find a number whose product with 9 is the same as its sum with 56

Answers

Let x be that number.
9x must be the same as x+56:
[tex] 9x = x+56[/tex].
We substruct x from both sides:
[tex] 8x = 56[/tex]
and we divide by 8 in both sides of the equality:
[tex] x = 7[/tex]

Final answer:

The requested number is 7, which when multiplied by 9 or added to 56, gives the same result of 63.

Explanation:

To find a number whose product with 9 is the same as its sum with 56, we set up the equation x * 9 = x + 56. Solving for x, we first distribute the 9 to the x, resulting in 9x = x + 56. Next, we subtract x from both sides to get 8x = 56. Finally, we divide both sides by 8 to find that x = 7. Hence, 7 is the number we are looking for, as 7 * 9 = 63 and 7 + 56 = 63, confirming that the product and the sum yield the same result.

PLEASE HELP ASAP!!! Will give brainliest!

What is the relationship between 8.76×106 and 8.76×102 ?

Select from the drop-down menus to correctly complete the statement.

8.76×10^6 is ___ times ___ than 8.76×10^2 .

1) 1000, 10,000, 100,000, or 1,000,000.

2) Greater or Less.

Answers

10^6 = 1,000,000

10^2 = 100

1,000,000 / 100 = 10,000

so 8.76x10^6 is 10,000 times greater than

Gabrielle is 14 years older than Mikhail. The sum of their ages is 96 . What is Mikhail's age?

Answers

to answeryou need to subtract 14 from 56

Please help. Determine the domain of the inverse function and find the inverse function.

Answers

[tex]\bf A=\cfrac{1}{2}20h\implies A=\cfrac{20h}{2}\implies A=10h[/tex]

now, the range for that equation is all real numbers, is a linear equation and therefore will pass the "vertical line test" and thus be a one-to-one function, and therefore will have an inverse function.

for a function that has an inverse function, the range of the original function is exactly the same as the domain for its inverse. Therefore, if the range of that function is all real numbers, then the domain of its inverse is just that.

what's the inverse, well, let's do the switcharoo.

[tex]\bf A=10h\qquad inverse\implies \boxed{h}=10\boxed{A}\impliedby A^{-1}(h)[/tex]

we are not solving for "h", because, well, is already solved for "h".

Stan wants to make a rectangular garden. he has 34 ft of fencing to put around the perimeter. if the length is to be 5 ft more than the width, find the dimensions of the planned garden.

Answers

P = 2(L + W)
P = 34
L = W + 5

34 = 2(W + 5 + W)
34 = 2(2W + 5)
34 = 4W + 10
34 - 10 = 4W
24 = 4W
24/4 = W
6 = W <==== the width is 6 ft

L = W + 5
L = 6 + 5
L = 11 <==== the length is 11 ft

Final answer:

Using the concept of perimeter and given conditions, the planned garden's dimensions should be 6 feet by 11 feet with a total perimeter coverage of 34 feet.

Explanation:

The problem can be solved by using the concept of perimeter in mathematics. The perimeter of a rectangle is the sum of all its sides, and given that Stan has 34 ft of fencing, this can be translated to a formula: 2*(length + width) = 34ft.

From the question, we also know that the length of the fence is 5 ft more than the width. This can also be translated into an equation: length = width + 5.

By substituting this into the earlier equation, we can find the width: 2*(width + width + 5) = 34, which simplifies to 4*width + 10 = 34. Solving this gives us width = 6 ft.

Substitute width = 6 ft into the length equation to get length = width + 5 = 6 + 5 = 11 ft. Therefore, the dimensions of the planned garden are 6 ft by 11 ft.

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Which is true? A 11.949 > 12.000 B 14.887 < 14.097 C 17.0010 > 17.0100 D 19.0929 < 19.7893

Answers

A is not true 11,949 is less than 12000
B also not true

D is the only one that is true

D is the only correct choice

Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a speed of 307 kilometers per hour, how long will it take Lola to travel from Paris to Nice

Answers

Distance =rate/time so your answer is 3 hours first you have to convert meters to kilometers 921000 meters = 921 Km so you have like terms to calculate so your distance becomes 921 Km then divide by the speed 907÷3 = 3 so your answer is 3 hrs

Answer: It will take 1.75 minutes to travel from Paris to Nice.

Step-by-step explanation:

Since we have given that

Distance between the two cities = 921,000 meters

Since we know that

1 km = 1000 meters

[tex]1\ m=\dfrac{1}{1000}\ km\\\\921000\ m=\dfrac{921000}{1000}\ km=921\ km[/tex]

Speed at which the train travels = 307 km/hr

As we know the formula for time taken:

[tex]Time=\dfrac{Distance}{Speed}=\dfrac{921}{307}=0.029\ hours\\\\Time=0.029\times 60=1.75\ minutes[/tex]

Hence, it will take 1.75 minutes to travel from Paris to Nice.

The area of a triangle is 27 square feet its height is three times the length of its base find the height and base of the triangle

Answers

A = 1/2 * h * b
A = 27
h = 3b

27 = 1/2 * 3b * b
27 = 1/2 * 3b^2
27 * 2 = 3b^2
54 = 3b^2
54/3 = b^2
18 = b^2
sqrt 18 = b
4.24 = b <=== base

h = 3b
h = 3(4.24)
h = 12.72 <== height

choose the correct word to complete the following sentance: a natural number is (always, sometimes, never) a whole number

Answers

A natural number is always a whole number

The set of natural numbers is this {1, 2, 3, 4, 5, ...} basically the set of counting numbers. Zero is not part of this set.

The set of whole numbers is {0, 1, 2, 3, 4, 5, ...} almost the same set but now zero is part of the group.

Any number in the first set is automatically part of the second. We consider the first set to be a subset of the second set. Any natural number you can think of is also a whole number. The same cannot be said the other way around. As you can see, zero is NOT a natural number. So the set of whole numbers is not a subset of the natural numbers.

Solve the Quetion and times 50 equals 5000 explain your solution

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50x = 5000

50x/50 = 5000/50 (isolate the x to get the x, do this by dividing each side)

x= 100 (answer)

hope this helps

How is place value used to read decimals

Answers

Place Vlaue For Decimals..... These terms are used from left to right, starting with the first numeral after the decimal point. For example, the number 0.1234 has a "1" in the tenths place, a "2" in the hundredths place, a "3" in the thousandths place, and a "4" in the ten thousandths place so on.

Write a real world description to fit the expression -59/5

Answers

A debt of $59 dollars owed by five (5) ladies and will also be divided among them. They borrow $59 dollars to buy the materials for their science project because 3 out of 5 ladies do not have money to spend to their science project.

Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding

A:$0.10
B:$15.00
C:$1015.00
D:$1015.10

Answers

Assuming that 1.5% annual interest is converted to monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.

If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be: $1015.10-$1015= $0.10

In a certain grocery store, strawberries cost $4.48 per pound ( 4.48 dollars/lb ). What is the cost per ounce?

Answers

To solve this problem, all we have to do is to convert the pounds to ounce. We know that the conversion factor is:

1 pound = 16 ounce

Therefore:

cost per ounce = ($ 4.48 / pound) * (1 pound / 16 ounce) = $0.28 / ounce

Answer: There is cost $0.28 per ounce.

Step-by-step explanation:

Since we have given that

Cost per pound = $4.48

We need to find the cost per ounce.

As we know that

1 pound = 16 ounces

So, Cost per ounce would be

[tex]\dfrac{4.48}{16}\\\\=\$0.28[/tex]

Hence, there is cost $0.28 per ounce.

Cynthia besch wants to buy a rug for a room that is 1313 ft wide and 2222 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 112112 square feet of carpeting. what dimensions should the rug have?

Answers

Alright, so if the uniform strip is x feet long, (1313-x) represents the width of the rug and 2222-x represents the length of the rug (given that the uniform strip is uniform all around the room) due to that the difference between the length of the room and the uniform strip is the rug because there is nothing else on the floor.

Since the area is 112112 square feet, we get that (1313-x) *(2222-x) is the area of the rug which equals 112112. Multiplying it out, we get
x^2-2222x-1313x+(1313*2222)=112112. Next, we get
x^2-3535x+2917486=112112, and we subtract 112112 from both sides to get x^2-3535x+2805374=0. Using the quadratic formula, we get
(3535+-sqrt(3535^2-4*2805374))/2=either around 2332 or 1203. Since it can't be 2332 due to that 1313 is less than that and the rug cannot be negative in width, we get 1203 as the uniform width.

The dimensions of the rug are 1313-1203=around 110 as the width and 2222-1203=around 119 feet

During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
35%
30%
23%
18%

Answers

30''''''''''''''''''''

Hello! First off, we subtract the old value from the new value, and we have a change of 9 pairs of shoes. Then, we do 9/30 to get 0.3 and then multiply by 100 to get 30. The percent increase of sales is 30%. The answer is B: 30%.

Order feet,inches,miles,yards from most precise to least precise

Answers

Inches, feet, yard, miles. Hope this helps. :)

2 angles, angle A and angle B, form a linear pair. Angle B is an obtuse angle. What type of angle is angle A

Answers

Linear pair is angles that make up a straight line, or in other words, 180 degrees. If one angle is obtuse (bigger than a right angle/90 degrees), then the other angel will be acute (smaller than a right angle/90 degrees).

So, the answer: acute angle.

God bless!

(01.04) jorge was tracking the decreasing temperature in the morning. at 7
a.m., it was 65 degrees fahrenheit. at 9
a.m., it was 55 degrees fahrenheit. if jorge made the function f(x) = −5x + 100, what would the −5 represent? (1 point) the temperature at midnight the length of time he recorded for the total change in degrees the rate at which the temperature was decreasing

Answers

The answer is D because the temperature between 7:00 am and 9:00 am is decreasing by 5

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