Find the equation of the line through (-5,4) which is parallel to the line y=-x+6.
Give your answer in the form y=mx+b

Answers

Answer 1

Answer:

[tex]y = -x -1[/tex]

Step-by-step explanation:

Given

Passed through (-5,4)

Parallel to: y=-x + 6

Required

Determine the line equation

If it is parallel to: y=-x + 6, then it means that they have the same slope.

A linear equation y = mx + b has the slope m.

So, by comparison of y = mx + b  to y = -x + 6

[tex]m = -1[/tex]

The line equation is then calculated as:

[tex]y=m(x - x_1) + y_1[/tex]

Where

[tex]m = -1[/tex]

[tex](x_1,y_1) = (-5,4)[/tex]

So:

[tex]y = -1(x - (-5)) + 4[/tex]

[tex]y = -1(x +5) + 4[/tex]

[tex]y = -x -5 + 4[/tex]

[tex]y = -x -1[/tex]


Related Questions

pls pls pls pls helpppp it's 12:10am

Answers

Answer:

I guess it will be (D) 4/3=$4.41/x

WILL MARK BR ONLY HAVE 5 MINUTES XTRA POINTS

Answers

Answer:

B 8 out of 43

Step-by-step explanation:

Answer:

8 out of 43

Step-by-step explanation:

There are 86 total chocolates

There are 16 taffy chocolates

So the current ratio is 16:86

You can divide it by 2 which gives you "8 out of 43"

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$81.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$77.17. How much does an average movie ticket cost in each of these​ countries?

Answers

Answer:

Let the cost in Japan be m and that of Switzerland be n

n=13.35

Step-by-step explanation:

Please I need help it’s an emergency

Answers

Answer:

C. 1.35 M

I hope it helps...

Which problem is even below
4,323
944
291
31

Answers

944 let me know if that’s right

What percent is 31 green fish out the f 49

Answers

Answer:

divide 31 by 49 and multiply the result by 100

(31÷49 ) × 100

The answer is 61.22%

5,890,000=a×10b a==?

Answers

Answer:

=146628

Step-by-step explanation:

gracias por los puntos

Please help test due in 1 hour and it’s a grade! Will give brainliest and good review!

Answers

Answer

The measurement of the missing sides are 4 cm on each side

Step-by-step explanation:

multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.

The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.

Answers

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is [tex]A_o=\$550[/tex]

the value increases exponentially with the rate of [tex]r\%[/tex]

Time period [tex]t=5\ years[/tex]

Final amount [tex]A=\$736[/tex]

Exponential growth is given by

[tex]\Rightarrow A=A_o(1+r)^t[/tex]

Putting values

[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]

[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]

Option (c) is correct

Which fraction is equivalent to 9 12

Answers

the equivalent is 3/4. It’s reduced.

Answer:

3/4

Step-by-step explanation:

So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction

2. Bryan wants to rent a boat. The rental shop charges an initial fee of $12 plus $8 per hour to
rent the boat. If he paid a total of $120 when he rented a boat, for how many hours was the
boat rented?

Answers

Answer:

13.5 hr.

Step-by-step explanation:

Let h = no. of hours

Total cost = 12 + 8h = 120

8h = 108

h = 13.5 hr.

What is the area of the triangle?
8
4

Answers

area of triangle is base x height divide by 2
8x4=32
32 divide by 2 is
16


Reasoning There are 27 more green ca
in the parking lot. What percentage of
lot are green? What percent are black

Answers

hi  13% are black and 13% are green

help if a plane go down on by newyork and newjersey where do you bury the survivors

Answers

each one will be buried wherever the family wants, it is not the company that decides this or the place where the plane crashes

Answer:

You don't bury survivors because they survived

Step-by-step explanation:

The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800 C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?

Answers

Answer:

[tex]P(x<810)=0.5[/tex]

[tex]P(x<800) = 0[/tex]

[tex]P(x>808.40) = 0.58[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

Step-by-step explanation:

Given:

[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x&lt;800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x&lt;820^{\circ} \mathrm{C}} \\ {1} &; {x&gt;820^{\circ} \mathrm{C}}\end{array}[/tex]

Solving (a): P(x < 810)

To solve this, we make use of:

[tex]P(x<810) = F(x) = 0.05x - 40[/tex]

Because

[tex]800^\circ C \le 810 \le 820^\circ C[/tex]

So:

[tex]F(x) = 0.05 * 810 -40[/tex]

[tex]F(x) = 40.5 -40[/tex]

[tex]F(x) = 0.5[/tex]

Hence:

[tex]P(x<810)=0.5[/tex]

Solving (b): P(x < 800)

To solve this, we make use of:

[tex]P(x<800) = F(x) = x[/tex]

Because:

[tex]x < 800^\circ C[/tex]

So:

[tex]P(x<800) = 0[/tex]

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]

Where:

[tex]P(x\le808.40) = 0.05x - 40[/tex]

[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]

[tex]P(x\le808.40) = 0.42[/tex]

So:

[tex]P(x>808.40) = 1 - 0.42[/tex]

[tex]P(x>808.40) = 0.58[/tex]

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

[tex]P(805.40 < x < 808.40)[/tex]

This is calculated using:

[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]

[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]

[tex]P(805.40 < x < 808.40) = 0.15[/tex]

Using complement rule, the required probability is:

[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]

[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]

An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.

The relationship between
n
and
S
(
n
)
is shown in the table below.

Answers

The question is incomplete. Here is the complete question.

An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.

The relationship between n and S(n) is shown in the table below.

Which of the following equations represents an explicit formula for S(n)?

A. S(n) = 40,000(1.05)ⁿ

B. S(n) = 40,000 + 1.05n

C. S(n) = 40,000(1.05)ⁿ⁻¹

D. S(n) = 40,000 + 1.05(n-1)

Answer: A. S(n) = 40,000(1.05)ⁿ

Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:

[tex]S(n)=S_{0}r^{n}[/tex]

where

S₀ is the initial value

r is the rate the salary grows

n is the years the employee worked

From the table, in the first year, an employee receives $40,000, so, that is the initial value.

The salary increases at a constant rate of 1.05 per year, as shown below:

[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]

r = 1.05

So, the rate the salary grows is r = 1.05 or 5%.

Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].

Geometry proof help please

Answers

Answer:

the picture is blurt can't see any thing sorry can't help

On a scale drawing of a building, 1 inch represents 14 feet. If the height of the actual building is 49 feet, what is the height of the drawing?

enter the answer in the text box below

____ in.

Answers

The answer is 3.5 inches for K12 test

All i did was see what coud make 49 feet.

since 1 inch = 14 feet then i did 3 x 14 which got 42.

I then just shuffled around numbers and got 3.5.

THE ANSWER IS 3.5

Very sorry if its wrong

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

20 Sq cm

Step-by-step explanation:

Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.

Area of trapezium

[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]

So each square is 1cm, count up all of the full squares then, the leftover ones that aren’t quite full squares try to piece those together like a puzzle and you should end up with an answer. Don’t forget it’s cm^2!

Hope this helps!!

Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and​ Sunday?

Answers

Answer:

14

Step-by-step explanation:

9*6=63

9*8=72

6+8=14

What part of a hummingbird is adapted to help it obtain food from inside flowers?
1.Beak
2.Wings
3.Eyes
4.Head

Answers

1 Beak. I hope this helps

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answers

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form

Answers

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

What is the relative minimum of the function?
if anyone could help it would be appreciated!! :)

Answers

Answer:

-2

Step-by-step explanation:

since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever

you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.

Hope that helps :)

Which equation has a greater rate of change than the rate shown in the
table below?
х
0
2
4
6
8
у
5
5.5
6
6.5
7

Answers

pretty sure it’s option 1

Answer this correctly with an explanation I’ll give u brainalist + 10 points

Answers

Answer:

option D

Step-by-step explanation:

Angle ADF and Angle FDE

ADF+ FDE

Answer:

D

Step-by-step explanation:

Convert 65 millimeters to centimeters
Pls use step by step pls

Answers

Answer:

65 mili= 6.5cm

Step-by-step explanation:

divide the length value by 10

We know that 1cm=10mm

Divide 65 by 10 to get the number of centimetres:

65mm/10mm=6.5cm

Hope this helps!!

I don't know how to do this, please help

Answers

Answer:

m7=80º

m8=100º

Step-by-step explanation:

i needa big mac frfr brrrrrrrr

Answers

Answer:

ok

Step-by-step explanation:

Answer:

suppersize my fries...

P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.

Answers

Interest = (principal)(rate as a decimal)(time in years)

I = (16,000)(0.1)(0.5)
I = $800
$800 I believe, don’t take my absolute word I could be wrong
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