what is an equation of the line that passes through the points (-4, -3) (7, 8)

Answers

Answer 1

Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )

m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (7, 8 ) , then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = x + 1 ← equation of line


Related Questions

Which statement about rational numbers is not correct? *

A All rational numbers are also integers.
B Zero is a rational number.
C All integers also rational numbers
D All rational numbers can be written in the form a/b

Answers

C all integers also rational numbers

Look at the photo attached

Answers

Answer:

a)(-3n/4-36)=(-3n/4)+(-36)

-3n/4-36=-3n/4-36

-3n/4+3n/4=-36+36

0=0

n=Q(rational number)

Ahmad runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?

Answers

Answer:
5.6 Miles

Explanation:
7/80=0.0875 Miles per minute
0.0875*64= 5.6 Miles
First we have to find how long it takes Ahmad to run 1 mile.
So,
A) 80 min will be divided by 7 miles-
80/7 = 11.43 min/ mile
Ahmad runs 1 mile in approximately 11.43min.

B) How long will he run in 64 min?-
Since we know that it takes 11.43min to run 1 mile, we will divide 64 by that 1 mile time.
64/11.43 = 5.6 miles in 64 min.

Our answer is: Ahmad will run 5.6 miles in 64 min.

Another way to solve this, is by cross multiplying:

A)7/80 • x/64 = 448/80x. Now, solve for x by...

B) 448/80 = 5.6
5.6 miles

Hope that helped you understand.

Question 4 of 25

How is a scientific theory different from a hypothesis?

A. A theory is an explanation of a single phenomenon; a hypothesis is a question that can be tested.

B. A theory is a well-tested explanation; a hypothesis is a possible answer that needs to be tested.

C. A theory and a hypothesis are both educated guesses, but a hypothesis is not proven.

D. A theory explains a scientific law; a hypothesis explains a theory.

Answers

b the answer is letter B

HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

PR =8

Step-by-step explanation:

if you look on the diagram the distance between QS and RS are the same so they equal the exact same. Sorry I don’t know how to do the other one

Try this one out with me let’s if we get the same answer

Answers

Answer:

x = 80°

Step-by-step explanation:

x + 36° + 76° + 74° + 94° = 360°

x + 280° = 360°

x = 360° - 280°

x = 80°

If (7^2)P = 7^6, what is the value of p? I will mark brainliest
2

3

4

8

Answers

Answer:

3

Step-by-step explanation:

A sprinter ran a race in 11 seconds. What is the domain of this graph?​

Answers

Answer:

The answer is B.

Step-by-step explanation:

All the integers are positive.

A car burns 40% of the oil in its engine. The car contains 6000ml of oil How much oil does the car burn

Answers

Answer:

2400

multiply 40% and 6000

Step-by-step explanation:

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Answer:

2400 ml

Step-by-step explanation:

So you find 40% of 6000 ml

[tex]\frac{40 * 6000}{100 * 1}[/tex]

So 6000 times 40 is 240000

Then 100 times 1 is 100 leaving us with:

[tex]\frac{240000}{100}[/tex]

240000 divided by 100 is 2400 ml

So the car burns 2400 ml of oil.

HOPE THIS HELPED

For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.1. 2.What is the z-score value ofa randomly selected bag of Skittles that has35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303. What is the probability that a randomly selected bag of Skittles has at least 37Skittles? a) .152 b) .247 c) .253 d).747e).7534. What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125. What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

Answers

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

What is the oxidation number for n in the compound nh3? (recall that h usually has an oxidation number of 1.) –3 –1 0 3

Answers

The oxidation number of the nitrogen in the ammonia is negative 3. Then the correct option is A.

What is an oxidation number?

The number of allocated elements in a chemical combination is termed an oxidation number. The oxidation number is generally the count of the number of electrons that a molecule or atom shares, loses, or gains during bond formation.

The compound is NH₃ is given.

The chemical equation can be written as

NH₃ = N³⁻ + 3 H⁺

Thus, the oxidation number of the nitrogen in the ammonia is negative 3. Then the correct option is A.

More about the oxidation number link is given below.

https://brainly.com/question/10079361

Answer:

A

Step-by-step explanation:


The angle below is the image formed when a figure containing ZABC is dilated by a
scale factor of 1/2. What is the measure of ZABC?

Answers

Answer:

48°

Step-by-step explanation:

Dilating a figure makes the side lengths proportional but does not change the measure of the angles.

Walter is making curry for dinner. The recipe says that the curry should cook for 1 hour and 25 minutes. He has been cooking the curry for 59 minutes. According to the recipe, how much longer does Walter need to cook the curry? Write the answer in minutes. minutes​

Answers

Answer:

26 minutes.

Step-by-step explanation:

1 hour = 60 minutes. 60 minutes + 25 miuntes= 85 minutes of total cook time. 85 - 59 = 26. We do this because he has already cooked for 59 minutes, and the total time is 85 minutes.

HELP AnD SHOW UR WORK please, A recipe calls for 5.25 grams of chocolate. If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?
102.375 ÷ 5.25 = b
which number is correct
19
19.5
20
20.5

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

19.5

Step-by-step explanation:

Given that;

Recipe calls for 5.25 grams of chocolate

Question Ask;

If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?

Note;

102.375 ÷ 5.25 = b

102.375 ÷ 5.25 = Solution

Solve;

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex]

[tex]\frac{10237.5}{525}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;1023\;by\;525\;to\;get\;1[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;4987\;by\;525\;to\;get\;9[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;2625\;by\;525\;to\;get\;5[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19.5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace26\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace\emptyspace\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{102.375}{5.25}\:\mathrm{is}\:19.5[/tex]

[CloudBreeze]

An airplane left the airport in Nevada and traveled 3200.0 km to LA. The airplane had an average velocity of 222 m/s. How long was the flight from Nevada to LA in seconds. I will reward brainliest if right. Please and thank you.

Answers

Answer:

14,414.41 seconds

Step-by-step explanation:

plane traveled 3200 km

aver. velocity = 222 m/s

find:

How long was the flight from Nevada to LA in seconds.

solution:

time = distance / velocity

       =   3200 km    x     1000 m    

               222 m/s            1 km

        =  14,414.41 seconds

Explain whether the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the equation y=−5x−7.

A.Yes, because all solutions in the set of solutions for y=−5x−7 need to have integer values for both x and y.

B.Yes, because all of the points that are listed are on the line y=−5x−7.

C.No, because the x-intercept is not provided in the list of points.

D.No, because the set of all solutions of y=−5x−7 is represented by the line of the equation

Answers

Answer:

D

Step-by-step explanation:

We simply put each of the points to test

For a point to be correct, if we substitute the x-coordinate value, we should get the value of the y-coordinate

So let’s proceed

(-3,8)

8 = -5(-3) - 7

8 = 15 -7

8 = 8

(-2,3)

3 = -5(-2) - 7

3 = 10 -7

3 = 3

(-1,-2)

-2 = -5(-1) - 7

-2 = 5-7

-2 = -2

(0,-7)

y = -5x -7

y = -5(0) - 7

y = 0-7 = -7

(1,-12)

y = -5(1) -7

-12 = -5 -7

-12 = -12

(2,-17)

-17 = -5(2) -7

-17 = -10-7

-17 = -17

We can see that all the listed points are on the given line

Although all these points lie on the line, we cannot say they represent the set of all solutions

The set of all solutions can simply be represented by the line of the equation


Tracy says the quadratics below
factors to (x + 6)(x – 6). Is she
correct? Explain in words or show
work to prove your answer.
x2 – 12x + 36

Answers

Answer:

no!

One way is to work backwards and check the factored form (x+6)(x-6) using the FOIL method.

Multiply the first terms, then outside terms, then inside terms, then last terms. Simplify and you will find the extended version of (x+6)(x-6) to be x^2-36, NOT the expression x^2-12x+36.

Which of the following expressions is equal to 48 select all that apply

Answers

Answer:

The first one

Step-by-step explanation:

Solve –9. 4 Greater-than-or-equal-to 1. 7x 4. 2. X Less-than-or-equal-to –8 x Less-than-or-equal-to 8 x Greater-than-or-equal-to –8 x Greater-than-or-equal-to 8.

Answers

The  solution for the given [tex]-9.4\geq 1.7x+4.2[/tex]  will be  [tex]x\leq -8[/tex]

What will be the solution for the given inequality?

Given that

[tex]-9.4\geq 1.7x+4.2[/tex]

[tex]-9.4-4.2\geq 1.7x[/tex]

[tex]-13.6\geq 1.7x[/tex]

Divide both sides by 1.7 we get

[tex]\dfrac{-13.6}{1.7} \geq \dfrac{1.7x }{1.7}[/tex]

[tex]x\leq -8[/tex]

Thus the solution for the given [tex]-9.4\geq 1.7x+4.2[/tex]  will be  [tex]x\leq -8[/tex]

To know more about inequalities follow

https://brainly.com/question/24372553

Why can you use a random sample
to make an inference?

Answers

Answer:

Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.

Step-by-step explanation:

4p + 5 + p = 2p + 5 + 3p

P= -2
All real numbers
P = 2
P= 5

Answers

Answer:

P = All real numbers

Step-by-step explanation:

Step 1: Write equation

4p + 5 + p = 2p + 5 + 3p

Step 2: Solve for p

Combine like terms: 5p + 5 = 5p + 5Subtract 5 on both sides: 5p = 5pDivide both sides by 5: p = p

Here we see that any value p would render the equation true. Therefore, we have an infinite amount of solutions.

please help.
-
Find out the table by finding the y values of each x value given the function f(x)=1/x​

Answers

Answer:

-1=-1, -1/3=-3, -1/9=-9, 0=undefined, 1/9=9, 1/3=3

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

[tex]f(-1)=\dfrac{1}{-1}= -1\\\\\\f(\dfrac{-1}{3})=\dfrac{1}{\dfrac{-1}{3}}=1*\dfrac{3}{-1}\\f(\dfrac{-1}{3})=-3\\[/tex]

[tex]f(\dfrac{-1}{9})=1*\dfrac{9}{-1}=-9\\\\[/tex]

[tex]f(\dfrac{1}{9})=1*\dfrac{9}{1}=9\\\\f(\dfrac{1}{3})=1*\dfrac{3}{1}=3[/tex]

Urgent help!!

1. Donna bakes biscuits on a rectangle cookie sheet that is 30cm by 50cm. Each biscuit has a diameter of 8cm

A. What is the maximum number of biscuits Donna can bake at once on a cookie sheet?

B. If Donna bakes the maximum number of biscuits, what area do the biscuits take up on the cookie sheet?​

Answers

Answer:

18

Step-by-step explanation:

we know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuit

Answer:

We know that

[the area rectangular cookie sheet]=30*50--------> 1500 cm²

let's assume that each biscuit is inscribed in a square of 8 cm side

in the side of 30 cm can be placed -----> 30/8--------> 3.75----->  3

in the side of 50 cm can be placed -----> 50/8--------> 6.25----->  6

The maximum number of complete biscuits is 3*6------> 18 biscuits

the answer is 18 biscuits

Step-by-step explanation: some other guy said it

A car has an initial velocity of 10 m/s and final velocity of 43 m/s. The time taken
to reach the final velocity was 3 seconds. What is the acceleration of the car?
Hint: Acceleration (in terms of velocity) = (final velocity - initial velocity)/(time) *

Answers

Answer:

160 m/s

Step-by-step explanation:

vi= 10m/s

a= 5om/s*2

t=3 second

vf=?

frist step: find s(distance)

s=vit+1/2 at*2=10m/s x3s +0.5 x50m/s*2 (3s)*2 =30m+225m=255m

second : find vf

s=(vf+vi)/2 xt

vf=2s/t- vi=2(255m)/3s -10 m/s=170 m/s-10m/s=160m/s

Therefore , the final velocity of the car is 160m/s

James correctly estimated this difference by rounding each number to the nearest whole.

38.85−2.32

What did James get for his estimate?

Answers

Answer:

37

Step-by-step explanation:

This is because u solve the equation first.

After solving the equation the first decimal on the right.If the number is 5 and more than five u go to the position of the one and add plus one to the ones place and change the decimals to 0, if the number is less than five change the decimals to zero and leave the numbers after the decimal point

Find The Sum Of 0.6 And 0.73.
Is it 0.67
1.33
0.79
Or 1.30?

Answers

Answer:

1.33

Step-by-step explanation:

Which value of a would make the inequality statement true? 9.53 < startroot a endroot < 9.54 85 88 91 94

Answers

The value of a lies between 90.8209 and 91.0116 is 91. Then the correct option is C.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality is given as

9.53 < √a < 9.54

On squaring both sides, we have

  9.54² > a > 9.53²

91.0116 > a > 90.8209

Thus, the value of a lies between 90.8209 and 91.0116 is 91. Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

Answer:

the answer is C

Step-by-step explanation:

i got it right.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

do u mean the point A?

if so point A coordinates are (-5:-8)

It would be (2,-8). Point A is at (-5,-8), so reflecting over the y axis would bring the point to (5,-8). Then, translating -3 horizontally would bring it to (2,-8)

what is the length of bc?

Answers

Answer:

x = 3

Step-by-step explanation:

not sure what the term is, but AB is equal to BC because AD = DC

using this, you can make the following equation:

5x - 2 = 7x - 8

subtract 5x from both sides

-2 = 7x - 5x - 8

-2 = 2x - 8

add 8 to both sides

-2 + 8 = 2x

6 = 2x

divide both sides by 2

3 = x

308025 square root division method​

Answers

Yep the answer is 555
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