Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).

Answers

Answer 1

Answer:

Equation: y = x - 1

a slope of 1, and a y-intercept of -1

Step-by-step explanation:

Given: y = x - 6

Slope-Intercept Form: y = mx + b -

where:

m is the slopeb is the y-intercept (when x = 0)

Note: parallel lines have the same slope

1. Determine the slope and y-intercept of the given equation:

⇒ y = x - 6 has a slope of 1, and a y-intercept of -6

2. Find the equation of the line parallel line that passes through the point (-5,-6):

⇒ y = x + b [substitute -5 for x and -6 for y]

⇒ -6 = -5 + b [add 5 to both sides]

⇒ -6 + 5 = -5 + 5 + b

⇒ -1 = b

Equation: y = x - 1

3. Check your answer using point (-5, -6):

⇒ y = x - 1

⇒ -6 = -5 - 1

⇒ -6 = -6 ✔

This statement is correct

Therefore, the equation of the line is y = x - 1


Related Questions

Just need the answer fast pls help

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

Answer is D. [tex]\frac{121}{49}a^8b^2[/tex]

Step-by-step explanation:

We expand the powers.

[tex]\frac{11}{7}^2*(a^4)^2*(b)^2\\\frac{11}{7}*\frac{11}{7}*(a^4)(a^4)*(b*b)\\\frac{121}{49}*(a^8)*(b^2)[/tex]

when doing variable power you add them together.

a^4*a^4=a^(4+4) , b^1*b^1=b^(1+1)

PLEASE HELP!!

BRAINLIEST

Answers

Answer: 26 + 13 + 26 + 13 + x =180

Step-by-step explanation:

Please please help, I will mark brainliest if correct!!!!!!!

Find the measure of the arc or angle indicated.

A. 108°
B. 36°
C. 72°

Answers

Answer: l08

Step-by-step explanation: It's becuase 36 x 3 is 108

Two Dimensional Shapes: Area
I really need help with this!!!

Answers

Answer:

area of the rectangle will be 175 square feet

9,15,21 find the 38th term

Answers

Answer:

231

Step-by-step explanation:

The pattern is add 6. But it is more easier to use the linear function: 6x+9. Since this starts with 0, we plug in 37 for x instead of 38.

30 books = 45kg
45 books = ?

Answers

Answer:

67.5 kg

Step-by-step explanation:

To determine the weight of 45 books, we need to determine the weight of one book, using the equation (30 books = 45 kg). This can be done by dividing 30 to both sides of the equation. Therefore,

⇒ 30 books/30 = 45/30 kg⇒ 1 book = 45/30 kg = 3/2 kg = 1.5 kg

We obtained the following equation;

⇒ 1 book = 1.5 kg

Now, multiply both sides by 45 to determine the weight of 45 books.

⇒ 1 book × 45 = 1.5 kg × 45⇒ 45 books = 67.5 kg

Therefore, the weight of 45 books is 67.5 kg.

Answer:

[tex]\huge\boxed{\bf{45books = 67.5kg}} [/tex]

Step-by-step explanation:

Given:-

30 books = 45kg

To find:-

45 books = ?

Ans:-

30books = 45kg

45books = y kg

Let's find 45 books (y)

[tex]\sf \to \frac{30}{45} = \frac{45}{y}[/tex]

[tex]\sf \to 45*45 = 30*y[/tex]

[tex]\sf \to 2,025 = 30*y[/tex]

[tex]\sf \to y = \frac{2,025}{30}[/tex]

[tex]\sf \to y = 67.5kg[/tex]

~therefore 45books = 67.5kg

[tex]\:[/tex]

[tex]\huge\colorbox{red}{BlackPain}[/tex]

People with heart arrhythmia are known to have a resting pulse rate of 110 with a standard deviation of 5. With a new
experimental treatment, a group of 100 patients who suffer from heart arrhythmia has a resting pulse rate lowered to
108. Does this provide significant evidence that the experimental medication is effective at reducing resting pulse rate?
A. Yes, the test value is in the rejection region
B. No, the test value is not in the rejection region
C. Yes, the test value is not in the rejection region
OD. No, the test value is in the rejection region

Answers

The answer will be option A Yes, the test value is in the rejection region.

What is Z-score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

here the formula will be

[tex]Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}[/tex]

[tex]Z=-20[/tex]

Z critical value =-1.645

Z calculated> Z critical value so we will reject.

Hence the answer will be option A Yes, the test value is in the rejection region.

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Which of the following is an equivalent expression to the expression a1/3 / a1/4

A. A1/12

B. A7/12

C. 1/1/1/a12

D. 1/7/a12

Answers

Answer:

Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]

Step-by-step explanation:

[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]

Simplify the expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]

Transform the Expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]

Calculate

[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]

Answer:

Option A

Step-by-step explanation:

Exponent Law: In exponent division, if base are same, subtract the powers

[tex]\sf \dfrac{a^m}{a^n}=a^{m-n}[/tex]

[tex]\sf \dfrac{1}{3}-\dfrac{1}{4}=\dfrac{1*4}{3*4}-\dfrac{1*3}{4*3}[/tex]

          [tex]\sf =\dfrac{4}{12}-\dfrac{3}{12}\\\\=\dfrac{1}{12}[/tex]

[tex]\sf \dfrac{a^{\frac{1}{3}}}{a^{\frac{1}{4}}}=a^{\frac{1}{3}-\frac{1}{4}}[/tex]

     [tex]=a^{\frac{1}{12}}[/tex]

Find the measure of <1
Please answer ASAP, in desperate need will mark as brainliest

Answers

Answer:

m<1=32

Step-by-step explanation:

Just do 102-38÷2 to get the measure

jim has a dog. jim buys 6 bags of dog biscuits. there are 27 biscuits in each bag of dog biscuits. jims dog eats 5 dog biscuits each day. has jim brought enough dog biscuits for 4 weeks. you must show how you got your answer

Answers

Answer:

i will give it to you

Step-by-step explanation:

that's it for you dear

The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

First, let's calculate the total number of dog biscuits that Jim has bought:

= 6 bags × 27 biscuits per bag

= 162 biscuits

Next, let's calculate how many biscuits the dog will eat in 4 weeks:

= 4 weeks × 5 biscuits per day

= 20 biscuits per week

20 biscuits per week × 4 weeks = 80 biscuits

So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.

162 biscuits ≥ 80 biscuits

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find the value of x. 2x 20

Answers

Answer:

X = 10

Step-by-step explanation:

Since 2x = 20

we can divide 2 from both sides giving us x = 20/2

Therefore , x = 10 because 20 divided by 2 is 10

Answer:

X= 10

Step-by-step explanation:

2X=20

Then Divide both sides by 2 in order to find the value of X

2X/2=20/2

X= 10

Help!! I need the answer quick. Im really bad at fractions-

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]

given:

[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

to find:

the simplest form.

solution:

[tex] \frac{53}{8} + \frac{19}{4} [/tex]

[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]

[tex] = \frac{212 + 152}{32} [/tex]

[tex] = \frac{364}{32} [/tex]

[tex] = 11 \frac{3}{8} [/tex]

If x - 10 is a factor of x2 - 8x - 20, what is the other
factor?

Answers

Answer:

(x + 2)

Step-by-step explanation:

x² - 8x - 20

consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)

the factors are - 10 and + 2 , since

- 10 × + 2 = - 20 and - 10 + 2 = - 8 , then

x² - 8x - 20 = (x - 10)(x + 2)

Answer:

(×+ 2)

Step-by-step explanation:

just did that trust me

Which line will have no solution with the parabola y – x 2 = x2?

Answers

Step-by-step explanation:

y = –3x –3

y = –2x –3

y = 2x –3

y = 3x –3

Answer:

the correct answer is C.) y = 2x -3

Step-by-step explanation:

edge 2022

Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.

Answers

Answer:

No, it will quadruple.

Step-by-step explanation:

If a figure is scaled up by some amount x(by multiplying), while still being the same shape, the surface area will scale up by x^2, and the volume will scale up by x^3.

HELP PLEASE!!!


f(0)=4, f(n)=2f (n-1) write the first six terms of the sequence

Answers

Answer:

n

=

1

a

1

=

2

given value

n

=

2

a

2

=

2

+

4

=

2

n

=

3

a

3

=

2

+

4

+

4

=

6

n

=

4

a

4

=

2

+

4

+

4

+

4

=

10

Step-by-step explanation:

brainlist me

Which formula can be used to find the centripetal acceleration of an orbiting object? ac = startfraction the square root of v over t endfraction. ac = startfraction v superscript 2 baseline over t endfraction ac = startfraction v superscript 2 baseline over r endfraction. ac = startfraction the square root of v over r endfraction.

Answers

The formula which can be used to find the centripetal acceleration is:

ac = startfraction v superscript 2 baseline over r endfraction

What is centripetalacceleration?

This is simply the acceleration of an object moving in a circulation motion.

The centripetal acceleration can be expressed mathematically as

a꜀ = v² / r

Where

a꜀ is the centripetal acceleration v is the velocity of the object r is the radius

With the above formula, we can conclude that the correct answer to the question is:

ac = startfraction v superscript 2 baseline over r endfraction

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Answer:

(c)

Step-by-step explanation:

I took the test


A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end
of each day for the 7 days. What was the average number of pages the student read per day from the end of day 2 to the end of day 6

Answers

To find the average number of pages the student read from day 2 to day 6, add the total pages in these days and divide by 5 days.

What is the average?

This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.

How to calculate the average from day 2 to day 6?

Add the pages the person read these days and then divide by 5 (total of days).

For example:

35 + 45 + 10 +25 + 20 = 135 / 5 = 27 pages

Note: This question is incomplete because the table is missing; due to this, the answer is based on general knowledge.

Learn more about average in: https://brainly.com/question/2426692


To convert temperature between degrees Fahrenheit to degrees Celsius, we use the formula C = 5/9(F-32).

What is 10° Celsius in degrees Fahrenheit?
A. 40°
B. 45°
C. 50°
D. 55°

Answers

C. 50
10 degrees Celsius would be 50 degrees Fahrenheit

( what’s the better deal ) please help me with this, i’ve been trying for a long time

Answers

Answer:

Brand A is the better deal!

Step-by-step explanation:

Let's start by comparing.

We know brand B has the following cost: 5 ounces = $3.75

10 ounces $7.50 and 16 ounces = $12

Now check the graph.

6 ounces cost $3

12 ounces cost $6

20 ounces cost $10

I don't think we need to look any further but brand A is the better deal!

What is the area of a rectangle that measures 4 meters wide and 6 meters long?

Answers

Answer:

The area of the rectangle is 24.

Step-by-step explanation:

To find the area it is Legth x Width


Therefore, 4 * 6 is 24



Write an equation for a function whose graph has exactly two x-intercepts, one at x=-6 and the other at x=3.

Answers

Answer:

y = x^2 + 3x - 18

Step-by-step explanation:

A parabola with zeroes at  x = - 6  and 3  would look like this:

(x+6)(x-3) = x^2 + 3x -18

Write the equation of this line in slope-intercept form.​

Answers

Answer:

Slope-Intercept Form: [tex]y = 2*x -3[/tex]

or

Point-intercept form: [tex]y-(-3)=2(x-0)[/tex]

Step-by-step explanation:

Method 1: Start from 1 point and then count the rise overrun.

Slope-Intercept Form: [tex]y=mx+b[/tex]

Start from the Y-axis where [tex]b=-3[/tex] then rise/run to the next point. making that our slope.

Method 2: Using the point-intercept form

Point-intercept form: [tex]y-y_0=m(x-x_0)[/tex]

Solve the slope using the two points.

[tex](0,-3)[/tex] and [tex](2,1)[/tex] plug those values into the formula. Make [tex](x,y)=(0,-3)[/tex] and [tex](x_0,y_0)=(2,1)[/tex]

[tex]-3-1=m(0-2)[/tex]

[tex]-4=m(-2)[/tex]

[tex]m=-2[/tex]

[tex]y-(-3)=-2(x-0)[/tex]

What is the geometric mean 2 and 7?

Answers

Answer:  [tex]\sqrt{14}[/tex]

Work Shown:

[tex]\text{x} = \text{geometric mean of A and B}\\\\\text{x} = \sqrt{A*B}\\\\\text{x} = \sqrt{2*7}\\\\\text{x} = \sqrt{14}\\\\[/tex]

simplify the given expressions and then write your answer in standard form.
1.456×100000000​

Answers

Answer:

145600000

Step-by-step explanation:

Please mark as branliest !

During second period, Cora completed a grammar worksheet. She got 28 out of 40 questions correct. What percentage did Cora get correct?

Answers

Answer:

%70

Step-by-step explanation:

percentage can be found by dividing the values than multiplying the values by 100

Formula: (value/totalvalue)100

plug in the formula with what we have;

28/40(100)

→ First step; dividing our value by total value (28/40)

28/40 = 0.7

  → Second step; multiplying our value by 100 (0.7)

0.7 * 100 = 70

Therefore cora got %70 correct on her grammar sheet

Answer:

70% correct

Step-by-step explanation:

We know that there are 40 questions on her grammar worksheet.

Out of those 40 questions, she got 28 right so 28/40 equals 0.7

Please help!!! Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13 cinder cone volcanoes,
18 shield volcanoes, and 6 stratovolcanoes.

Answers

Answer:

cinder cone: estimated probability = 0.35

shield: estimated probability = 0.49

stratovolcano: estimated probability = 0.16

Step-by-step explanation:

Given that he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

So the total number of volcanoes are 13 + 18 + 6 = 37

So the estimated probability of Cinder cone is \frac{13}{37}\approx 0.35

37

13

≈0.35

The estimated probability of Shield is \frac{18}{37}\approx 0.49

37

18

≈0.49

The estimated probability of Stratovolcano is \frac{6}{37}\approx 0.16

37

6

≈0.16

Below is the completed table

At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?

a)P(red)=.15,P(exactly3getstopped)=.08

b)P(red)=.15,P(exactly3getstopped)=.97

c)P(red)=.3,P(exactly3getstopped)=.8

d)P(red)=.3,P(exactly3getstopped)=.25

Answers

The Probability of red light is 0.3

P(red) = 0.3

The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.

P(exactly three get stopped by red light)=0.25

The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25

What is Binomial distribution?

A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

The occurrence,

Red light= 15 sec, Yellow light= 5 sec, Green light= 15 sec

p= probability of a red light

 =[tex]\frac{15}{15+5+30}[/tex]

 = [tex]\frac{15}{50}[/tex]

 = 0.3

Hence, Probability of getting red light be,

P (red)= 0.3

Now, the Binomial distribution formula,

Probability=( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]

where, r = number of times for a specific outcome within n trials

[tex]_r^nC[/tex]   = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trial

According to question,

r= 3 (Exactly three)n=8 (eight eastbound)p(red) =0.3q= 1 -p

          = 1- 0.3

          = 0.7

Now using the formula, ( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]

P( exactly 3  get stopped) = ( [tex]_3^8C[/tex])[tex]\;(0.3)^{3} \;(0.7)^{8-3}[/tex]

                                           

                                            = [tex]\frac{8!}{3!(8-3)!}[/tex] [tex](0.027) \; (0.7)^{5}[/tex]

                                           =  [tex]\frac{8!}{3!(5)!}[/tex][tex](0.027) \; (0.16807)[/tex]

                                           = [tex]\frac{8 * 7 * 6 }{3 * 2}[/tex] x 0.027 x 0.16807

                                           = 56 x 0.00453789

                                           = 0.25412184

                                          ≈ 0.25

Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.

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Evaluate e3/2 to one decimal place

Answers

Answer:

Assuming you mean e to the power of 3/2, your answer should be 4.5. (4.482 rounded to the tenth.)

Step-by-step explanation:

"e" is simply 10 with an exponent. "e" to the power of 3/2 means [tex]10^{3/2}[/tex].

Plugging this in comes up with approximately 4.482 which can be rounded to 4.5.

Answer:

4.5

Step-by-step explanation:

The equation v=68t represents the number of views v for a video after t hours. Identify the independent and dependent variables.

Answers

Answer(s):

Dependent variable: vIndependent variable: t

What is the dependent variable of an equation?

The dependent variable of an equation is the variable that is completely isolated on one side.

What is the independent variable of an equation?

The independent variable is the variable that is not isolated. The independent variable can either have a cooeficient or has some operation (+ - × ÷) included on that side of the equation.

Determining the independent and dependent variable

In this equation, we can see that "v" is completely isolated on one side and "t" has a cooeficient of 68. Thus, the dependent variable is "v" and the independent variable is "t".

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