What is the slope of the line that goes through the points (1,-5) and (4,1)?

A. -4/3

B. -3/4

C. 1/2

D. 2

Answers

Answer 1

Answer: m = 2

Step-by-step explanation:

What we know:

The slope needs to pass through the points (1, -5) and (4, 1)There are 4 potential slopes given to us- only one is correctWe need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

Set up equation                                                 (y2 - y1) / (x2 - x1)Substitute                                                            (1 +5 ) / (4 - 1)Simplify                                                                6 / 3Simplest form                                                      2/ 1 =

Slope =                                                                          2

Solution: m = 2


Related Questions

easy one for you folks. show work.
who ate more?​

Answers

What is the question

Answer:

regan ate more than maggie

equation of the line (6,10) , (-3,-2)

Answers

The equation for this line is y=1.3x+2

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

please help with this math question

Answers

Answer:

z=2.61

Step-by-step explanation:

a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b

Answers

Answer:

1350 cm³

Step-by-step explanation:

we have given that,

• Height of A = 10 cm.

1350

• Volume of A = 400cm³.

• Height of B = 15 cm.

• Both A and B solids are similar.

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→400/ V(B) = (10)³/(15)³

→400/V(B) = (1000/3375)

→ V(B) = (400*3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.

please help, i really beg

Answers

Answer:

Undefined

Step-by-step explanation: Because the pints are a line so there isnt a slope unless ther is a shape.

I'm saying positive. I don't think you need a shape to find the slope

\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3

Answers

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

if p(q) = q^2 4q- 12 then what is p(-1)

Answers

the solution:

(1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = q2-4q-12

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Aq2+Bq+C,the q -coordinate of the vertex is given by -B/(2A) . In our case the q coordinate is 2.0000

Plugging into the parabola formula 2.0000 for q we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 12.0
or y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = q2-4q-12
Axis of Symmetry (dashed) {q}={ 2.00}
Vertex at {q,y} = { 2.00,-16.00}
q -Intercepts (Roots) :
Root 1 at {q,y} = {-2.00, 0.00}
Root 2 at {q,y} = { 6.00, 0.00}

Help me with this please

Answers

Answer: the answer is  -5

Step-by-step explanation:

k

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Answers

Answer:

Step-by-step explanation:

What

a number cube is rolled.what is the probability of rolling a number greater than 4​

Answers

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

2/6, 1/3, or approx. 33.3%

A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)

Write an inequality that represents the graph

Answers

Answer:

y<=-1/2x-2

Step-by-step explanation:

NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.

Answers

Answer:

Step-by-step explanation:

(7^0/7^5)^1/5

= (1 / 7^5)^ 1/5

= (7^-5)^1/5

= 7^-1

= 1/7 is the correct answer.

Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age groups were surveyed about which plan they preferred. Find the probability that a randomly selected buyer preferred Plan A or was in the 40- to 49-year-old age group.

Answers

Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

$20, $15,$10,$5. What is the range of allowance amounts?

Answers

Answer:

$15

Step-by-step explanation:

20-5= 15

Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.

Hope this helps :)

someone should help me with this question

Answers

Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a starfish over a given time.

Answers

Answer: its ''A'' it takes a starfish 60 seconds to travel 1 meter

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Help help help math

Answers

Answer:

C ≈ 54

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ( d is the diameter )

Here d = 18 , then

C = π × 18 ≈ 3 × 18 = 54

A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is

Answers

The answer is : w=1.1×10^7mm

Answer:

11

Step-by-step explanation:

The formula for area is l * w = a (length * width = area)

4 is our length, and 44 is the area, so the equation turns to this:

4 * x = 44

To solve for x, just divide 44 by 4.

44 / 4 = 11.

Now we enter that into our equation so it looks like this:

4 mm * 11 mm = 44 mm^2.

Hope this helped :)

HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thats easy B ur welcome !!!!

Answer:

The answer is B

Step-by-step explanation:

how do you solve this question

Answers

Solution:.

Let the ceilings be a & b

and the distance from one corner of the ceiling to the opposite be c

then using Pythagoras theorem

[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]

hence ,c .°. the distance from one corner of the ceiling to the opposite is 20

The average rate of population decline between 2004 and 2014 is 1.45 thousand deer per year. If the population continued to decline at this rate, in which year would the population have reached 225 thousand deer? Explain your reasoning.

Answers

Answer:

in 155 years it would reach 225 thousand deer

Step-by-step explanation:

x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72


please help i have a test tmw

Answers

First one would be 3x plus 15 bc you add the 2x and x and 15 bc u add the 10 and 5

can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation

Answers

Answer:

He obtained 11.2 points

Step-by-step explanation:

He obtained 20 balls and was penalized 3 points.

If each red ball is 0.5 points off, then 3/0.5=6

6 of his obtained balls were red balls, penalizing 3 points.

So, 20-6=14

The rest of his 14 balls were green balls, each worth 0.8

So, 14 × 0.8 = 11.2

So he obtained a total of 11.2 points

or Question 5 i:
Harry is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£150
Hotel
Spending money
£50 for each day
£250
Work out the total cost of the holiday for 4 people for 7 days.

Answers

Answer:

the costs for the holiday for each person

£250

Step-by-step explanation:

So ,

£250 × 7 = 1,750

Which function has the same domain as y= 2 sqrtx

Answers

Answer: the first option.

Step-by-step explanation:

Answer:

[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]

Find the equation to the line below.​

Answers

Answer: [tex]y=\frac{-3}{4}x-3[/tex]

Ok done. Thank to me :>

Which inequality represents this statement?

A number is at least 12.


n>12

n≤12

n≥12

n<12

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:          n≥12

hope this helps

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x=4.225

Step-by-step explanation:

You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...

What is the equation of the line.

Answers

Answer:

y = 1/2x - 1

slope = 1/2

y-intercept is

(0,-1)

Other Questions
me ayudan con esto porfas lo necesito entregar hoy y tengo el braso roto turn the following sentences into the pasive.1. His teacher has transferred him to anoher class the points (2,4) and (6,7) lie on a line. what is the slope of the line? is it a. b. c. or d. Select the letter of the most appropriate answer.examples include base substitutions and deletionsperson who has one recessive allele for a recessive genetic disordertype of DNA used to prepare a DNA profilecontinuing process by which all organisms on earth now share the same genetic codegenes contain the coded instructions to manufacture __________custom genes that can be inserted into other DNA strandsgenes on this chromosome were used to determine the ancestry of Sally Hemings' descendantscombined DNA from multiple sourcesgenetic analysis used to trace the ancestry of all humans from Africamethod of cleaning up environmental; pollution with GM organismsnew genetic editing technology that uses small pieces of RNA to find specific locations in the DNA strandA. Amino AcidsB. BioremediationC. CarrierD. CRISPRE. EvolutionF. GM Organism(s)G. Mitochondrial DNAH. Point Mutation(s)I. Protein(s)J. Recombinant DNAK. Non-Coding DNAL. TransgeneM. X ChromosomeN. Y Chromosome Which country produced the most steel in the early twentieth century?Great BritainGermanyItalyRussia Help for 100 points if correct Is (3, 2) a solution to the equation y = x + 1? What were two reasons for the rapid spread of slavery in the American colonies? Determine the slope of the line that passes through pair of points: (-4, 11) and (1,-9) Is a museum exhibit a good place to make new friends? 50 points!!!! help me asap!!! I will give brainlist!!!!Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap Asap High schools should require all students to take four years of math. Even though most students will probably not become mathematicians, many of them will choose a profession where math plays an important role. Architects, pharmacists, and carpenters all use math every day. A strong math foundation in high school is important for students to succeed in these and in other professions. In 12 sentences, explain which word or phrase should be added to the paragraph to increase its cohesion and why that word or phrase would increase cohesion. A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.c. Comment on the conclusion and the decision when the null hypothesis can be rejected. Solve: 4|x| = 328 or 8824no solution PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS) How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest! True or false organisms only compete with their own species? Find the net torque . The terminal side of an angle in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle . Please, Please help ASAP