Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.

Answers

Answer 1

Answer:

Step-by-step explanation:

\(y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}\)

Answer 2

Answer:   y  = - 3/2x + 5

Step-by-step explanation:

To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

(-2,8) (8,-7)  

To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

-7 - 8 = - 15

8 - (-2) = 10

   Slope:   -15/10   =  -3/2  

The slope is  -3/2

Now using the formula y=mx+b  , use one of the given points and the slope to solve for b , which is the y-intercept.

     8  = -3/2(-2) + b

    8 = 3 + b

   -3     -3

    b = 5


Related Questions

Write a story that could represent this math problem. (2 points)

Write a story that could represent this math problem. (2 points)

Answers

If John has 3 of 4 slices of pie, and Tom has 2 of 6 slices of pie, how many do they have all together?

I believe that is what type of story you needed, if wrong let me know.

Answer: Suppose Rita is trying to find the area of the carpet of 3/4 and 2/6 for a room of 4/4 sq to 6/6 sq with balcony of 1/4 and 4/6

Explanation: In the given rectangle fig. length is given 3/4 and breadth is given 2/6 for the whole rectangle is 4/4 to 6/6.

for each block length is given 1/4 and breadth is given 1/6. The darker shaded area represents the carpet of the above story.

The answer after multiplying it is 6/24 or 1/4.  

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I received help on this and we got the answer 4. Unfortunately, it’s telling me 4 is wrong yet we can’t find an issue with her work. Please help!

I received help on this and we got the answer 4. Unfortunately, its telling me 4 is wrong yet we cant

Answers

Answer:

Try no solution

Step-by-step explanation:

Solving for the solution the answer is 4

Solving for x the answer is no solution

y=2^x+6 domain and range

Answers

Answer:

Find the Domain and Range

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , ∞ ) , { x | x ∈R }

Range:  

( 6 , ∞ ) , { y | y > 6 }

Step-by-step explanation:

Find the area of a circle with a diameter of 10 inches. Use 3.14 for pi.

Answers

Answer:

look at the photo.............. correct

Find the area of a circle with a diameter of 10 inches. Use 3.14 for pi.

1
2
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A polynomial is factored using algebra tiles.
+x²+x+X
--X
k
Mark this and return
1
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1
1
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10
Which polynomial was factored?
Ox²-2x-8
Ox²+2x-8
Ox²-2x-4
Ox²+2x-4
Save and Exit
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TIME REMAINING
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Answers

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Write a function for the line with a slope of 5 that passes through the point (2, 1).
HINT:Substitute the coordinates of the given point and the slope into y=mx+b to find the y-intercept.
HINT:The slope is m in the equation y=mx+b.

Write a function for the line with a slope of 5 that passes through the point (2, 1).HINT:Substitute

Answers

Step-by-step explanation:

y = mx+ b

m is the slope = 5

you can get x,y from point (x,y); x=2, y=1

substitute all information we have to find b

1 = 5(2) + b

1 = 10 + b

1 - 10 = b

-9 = b

the function for line:

y = 5x - 9

The table and corresponding image show the proof of the relationship
between the slopes of two parallel lines. What is the missing statement in
step 4?
A. c-d=b-a
B. b-c=d-a
OC. c-0=a-b
OD. d-0=8-a

Answers

Option A. c - 0 = b - a is the missing statement in Step 4 of the proof.

To determine the missing statement in Step 4 of the proof, let's examine the given table and image related to the relationship between the slopes of two parallel lines.

Step 1: Given the slopes of two parallel lines, m₁ and m₂.

Step 2: Assume two points on each line: (0, a) and (c, b).

Step 3: Calculate the slopes using the slope formula: m₁ = (b - a) / (c - 0) and m₂ = (d - a) / (0 - c).

Step 4: ??? (Missing Statement)

Step 5: Since the lines are parallel, the slopes are equal, so m₁ = m₂.

By analyzing the given information, we can identify the missing statement by comparing the calculated slopes:

From Step 3, we have:

m₁ = (b - a) / (c - 0)

m₂ = (d - a) / (0 - c)

Comparing the two slopes, we can see that (b - a) / (c - 0) = (d - a) / (0 - c).

To express this relationship, the missing statement in Step 4 should be:

A. c - 0 = b - a

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Plllzzzz answer this question, if Ronny when 68 miles per hour in his Tesla sports, how long will it be till he gets to his brother's house, his house is 92 miles from him consider- ring the fact that his wheel popped and lost two hours fixing it since he simply could not go that fast he, reduced his speed by 20 mph, how long will it take him to show up.
yes this is on my test

Answers

Answer:

the class has 12 girls and 16 boys what is the ratio of the total students to boys in simplest form

An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?​

Answers

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

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

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Find the estimate and actual value of : 72.8 + 12.1

Answers

84.9, this was calculated by a mathbot. But if this is not right then im dearly sorry

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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

use mathly and you don't need to download

In a clinical trial of a drug intended to help people stop​ smoking, subjects were treated with the drug for ​weeks, and subjects experienced abdominal pain. If someone claims that more than ​% of the​ drug's users experience abdominal​ pain, that claim is supported with a hypothesis test conducted with a significance level. Using as an alternative value of​ p, the power of the test is . Interpret this value of the power of the test.

In a clinical trial of a drug intended to help people stop smoking, subjects were treated with the drug

Answers

The power of 0.95 shows that there is a 95% chance of rejecting the alternative hypothesis of p = 0.16 where the true proportion is actually 0.08. That is if the proportion of users who experience abdominal pain is actually 0.08, then there is a 8% chance of supporting the claim that the proportion of users who experience abdominal pain is more than 0.08.

How to Interpret the Power of a Hypothesis?

Given that the alternative value of p is 0.16, it means that the power of the test is 0.95.

This means that if the true proportion of drug users experiencing abdominal pain is indeed 0.16, then by conducting the hypothesis test with a significance level of 0.05, we will correctly reject the null hypothesis and support the claim that more than 8% (0.08) of the drug's users experience abdominal pain with a probability of 0.95.

In other words, the power of 0.95 indicates that the test has a high chance (95%) of correctly detecting a true difference and correctly concluding that the proportion of drug users experiencing abdominal pain is greater than 8% when the true proportion is actually 16%. It demonstrates the test's ability to identify and support the alternative hypothesis when it is true.

It's important to note that the power of the test is influenced by factors such as sample size, significance level, effect size, and variability. In this case, with a power of 0.95, there is a high probability of detecting the claimed difference if it truly exists.

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A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?

Answers

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Which is the value of y in the solution of this system of linear equations? −10x+4y=46 6x=−18

A. y=−4
B. y=−3
C. y=4
D. y=19

Answers

It is C hope it HELPPPPPPPPPPPPPPPP U

it’s C i took a benchmark and the answer was c

Find the value of x that will make L||m

Find the value of x that will make L||m

Answers

The value of x that will make L||m is 9.

How to find the value of x that will make L||m?

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

The angle (4x²- 324)° is equal to 90°. That is:

(4x²- 324)° = 90°

4x²- 324 = 90

4x² = 90 + 324

4x² = 324

x² = 324/4

x² = 81

x = √81

x = 9

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Which of the following is a correct interpretation of the expression -4 - (-7)?

Which of the following is a correct interpretation of the expression -4 - (-7)?

Answers

Answer:

D

Step-by-step explanation:

So we have the expression:

\(-4-(-7)\)

First, simplify. Two negatives make a positive. Therefore, the -(-7) turns into +7:

\(-4-(-7)\\=-4+7\)

When adding on the number line, we move to the right.

Therefore, the correct interpretation is the value 7 digits to the right of -4.

D is the correct answer.

Answer:

D.  the number that is 7 to the right of -4 on the number line

Step-by-step explanation:

interpret -4 - (-7)

=  -4 +7

therefore

the number that is 7 to the right of -4 on the number line

so its D.

Complete the sentence below.
The quantity b² - 4ac is called the
of a quadratic equation. If it is
...
the equation has no real solution.

Answers

less than zero

Step-by-step explanation:

when the discriminant is less than zero, then it has no real solutions. this can be written as

b²-4ac<0 has no real solutions.

Answer correctly for brainlist

Answer correctly for brainlist

Answers

Answer:

Quadrilaterals

Step-by-step explanation:

4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped​

Answers

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

Each square of a chess board measures 57 millimeters by 57 millimeters. There are 64 squares on a chess board. What is the area of the chess board?

Answers

Answer: 207936 millimeters squared

Step-by-step explanation:

57 * 57 = 3249

3249 * 64 = 207936

Answer: 207936 millimeters^2

Step-by-step explanation: 57*57=3249

3249 64 times is 207936.

A survey of 65 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries​, 33 purchased science fiction​, 25 purchased romance novels​, 19 purchased mysteries and science fiction​, 15 purchased mysteries and romance novels​, 10 purchased science fiction and romance novels​, and 5 purchased all three types of books.

​a) How many of the customers surveyed purchased only mysteries​?
​b) How many purchased mysteries and science fiction​, but not romance novels​?
​c) How many purchased mysteries or science fiction​?
​d) How many purchased mysteries or science fiction​, but not romance novels​?
​e) How many purchased exactly two types of​ books?

Answers

Answer:

a) 41 customers purchased only mysteries.

b) 19 customers purchased mysteries and science fiction, but not romance novels.

c) 19 customers purchased mysteries and science fiction.

d) 19 customers purchased mysteries and science fiction, but not romance novels.

e) 15 and 10 customer purchased mysteries

After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.

Answers

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

rewrite 1/4 with the denominator 24​

Answers

Answer:

6/24.

Step-by-step explanation:

24 = 4 * 6 so we:

multiply by 6/6:

1 * 6

------  =    6 / 24.

4 * 6

At Marcy's Department Store, all dresses are
40% off. If the regular price of a dress is $85,
what is the sale price?

Answers

The answer is $51 hope it helps

Find an angle a that is coterminal with an angle measuring -720°, where 0° < a < 360°.

Answers

Step-by-step explanation:

To find an angle that is coterminal with an angle measuring -720°, we need to add or subtract multiples of 360° until we get an angle between 0° and 360°.

We can start by adding 360° multiple times until we get a positive angle:

-720° + 360° = -360° (still negative) -360° + 360° = 0°

So, -720° is equivalent to an angle of 0° plus a full rotation of 360°.

Since we want an angle that is between 0° and 360°, we can just take a = 0°.

Therefore, an angle that is coterminal with an angle measuring -720° and between 0° and 360° is a = 0°.

. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy

Answers

Answer:

\(7\frac{3}{8}\) pounds

Step-by-step explanation:

First, convert the fractions into improper fractions, and make them have the same denominator.

First package: \(3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}\)

Second package: \(1\frac{1}{8} =\frac{9}{8}\)

Third package: \(2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}\)

Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.

\(\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}\)

Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 39 inches of wire cost?

Answers

Answer:

39 inches of wire would cost 156 cents

Step-by-step explanation:

1) Make an Equation

18x = 72

2) Solve for x to determine cost per inch of wire

x = 72/18

x = 4

3. Multiply x value by 39 to get the cost for 32 inches of wire (c)

39x = c

39 (4) = c

156 = c

if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic

Answers

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?

Answers

When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?

Answers

Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

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