Using the slope equation m = y2−y1x2−x1 and given the points (0, 4) and (2, 1), find the slope.

Answers

Answer 1

Answer:

[tex] - \frac{3}{2} [/tex]

Step-by-step explanation:

[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{4 - 1}{0 - 2} [/tex]

[tex] = \frac{3}{ - 2} [/tex]

[tex] = \bf{- \frac{3}{2} }[/tex]


Related Questions

a triangle has an area of 68 ft and a height of 16 ft what is the length of the base​

Answers

Answer:

8.5

Step-by-step explanation:

First we need to know the formula is BxH/2 for triangles. First we would do 68x2=136. Then we would do 136/16 which would give you 8.5! Hope this helps!

A triangle having area of 68 ft and a height of 16 ft, the length of the base for a triangle is, 8.5 ft

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

a triangle has an area of 68 ft

a height of 16 ft

the length of the base​ = ?

Area of triangle = 1/2×base×height

                    68 = 1/2×base×16

                base =  8.5 ft

Hence, the length of the base is 8.5 ft

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Select the correct answer from each drop-down menu.

Answers

Answer:

x = 95 , y = 147 , z = 128

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x is an exterior angle of the triangle , then

x = 45 + 50 = 95

vertex of triangle ( with x in it ) = 180 - 95 - 52 = 180 - 147 = 33

the vertex and y are adjacent angles on a straight line and sum to 180 , then

y = 180 - 33 = 147

z is an exterior angle of the triangle , then

z = 95 + 33 = 128

What is the value of 8 in 0.058

Answers

THOUSANDS! I think! Hope this helps

Solve for x using cross multiplication.
2x+2/11 = x-4/6
x=
Please show your work for brainiest

Answers

Answer:

x=56/66

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

It would be closest to C (7,-9)

If f(x) = 7 4x and g (x) = startfraction 1 over 2 x endfraction, what is the value of (startfraction f over g endfraction) (5)? eleven-halves startfraction 27 over 10 endfraction 160 270

Answers

The value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

Given functions are:

[tex]f(x) = 7+4x\\\\g(x) = \frac{1}{2x}[/tex]

What is the  [tex]\frac{f}{g} (x)[/tex] ?

[tex]\frac{f}{g} (x)[/tex] is the ratio of functions f(x) and g(x) i.e. [tex]\frac{f(x)}{g(x)}[/tex].

So, [tex]\frac{f}{g} (x) =\frac{7+4x}{\frac{1}{2x} }[/tex]

[tex]\frac{f}{g} (x) =2x(7+4x)[/tex]

[tex]\frac{f}{g} (5) =2*5(7+4*5)[/tex]

[tex]\frac{f}{g} (5) =270[/tex]

Therefore, the value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

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Answer:

270

Step-by-step explanation:

edge2022

Ariel pays $10.80 when he buys 3 notebooks and 4 pencils.
Marie pays $14.50 when she buys 5 notebooks and 2 pencils.
Write down simultaneous equations and use them to find the cost of a notebook and the
cost of a pencil.
Show your workings.

Answers

.don’t have the work but ask me I have The work

1+1+1+1+1+(18+18463)+496464+94643448=​

Answers

95,158,398

THAT SHOULD BE DA ANSWER

Answer:

It guess it should be 95158398

ASAP ! GOD BLESS U!!!

Answers

Answer:

24 square metres

Step-by-step explanation:

Its basic math. You do 4 x 6 and you get the area.

What is 0.118 in expanded form

Answers

Answer:

zero and one-hundred eighteen-thousandths

can someone please help me

Answers

-8 3/4 + -11 1/3

I would do this problem by changing each mixed number into an improper fraction

-8 3/4 = -35/4
-11 1/3 = -34/3

Then I would find the common denominator

-35/4(3/3) = -105/12
-34/3(4/4) = -136/12

The balanced equation below shows the products that are formed when pentane (c5h12) is combusted. c5h12 8o2 right arrow. 5co2 6h2o what is the mole ratio of oxygen to pentane? 1:6 6:8 8:1 5:8

Answers

The mole ratio of the oxygen to pentane will be 8:1

What is the mole ratio?

A mole ratio is ​a ratio between the amounts in moles of any two compounds involved in a chemical reaction

A chemical equation is said to be a balanced chemical equation if it has an equal number of all the constituent atoms on both sides of the reaction arrow.

The balanced chemical reaction for the combustion of pentane is as follows:

[tex]\rm C_5H_{12}+8O_2--- > 5CO_2+6H_2O[/tex]

From the above-balanced chemical equation, it is clear that 1 mol of [tex]C_5H_{12}[/tex] reacts with 8 moles  [tex]O_2[/tex] to form 5 moles of [tex]CO_2[/tex]

Thus the mole ratio of the oxygen to pentane will be 8:1

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Answer:

8:1

Step-by-step explanation:

edge

if m<4=105 what is m<5​

Answers

Answer:

105. Alternate Interior Angles are Congruent. <3

Step-by-step explanation:

Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.

What is meant by  Interior angles?

In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.

inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.

Given ,

m<4=105

m<5=105

Therefore alternate interior angles is congruent to<3

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What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Answers

Answer:

The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Slope of a line is expressed according to the formula;

Slope m = Δy/Δx

Slope = y2-y1/x2-x1

Given the coordinates (–7, 4) and (2, –3), from the coordinates;

x1 = -7, y1 = 4, x2 = 3, y2 = -3

Substitute into the formula;

Slope = -3-4/3-(-7)

Slope = -7/3+7

Slope = -7/10

Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values

By what the question asks, I assume that this refers to getting the slope in a linear equation.

The correct option is:

She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

A general linear equation is given by:

y = a*x + b

where a is the slope and b is the y-intercept.

We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Notice that the formula is the change in y-values with respect to the x-values,

So we can conclude that the correct option is:

"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."

If you want to learn more, you can read:

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A dinner plate is in the shape of an isosceles right triangle, the leg is 13 inches. What is the perimeter of the plate, round your answer to the nearest tenth?

Answers

Answer: 18.4 inches

Step-by-step explanation:

Please help me solve this ! Which figure can be formed from the net?

Answers

Answer:

A

Step-by-step explanation:

It is th eonly one with a asquare base and it maches the net.

Have an amazing day!

PLEASE RATE!

Option A is correct!

How??

First of all, it's base is square just like the net. The net in option D also has a square base.Now, Confusion is there that which one is correct?To understand that, look at the dimensions. The dimensions of Figure in Option A matches the net completely.. Hence, it is the correct option!!~

The 4th and the last terms of an A.P. are 11 and 89 respectively. If there are 30 terms in the A.P., find the A.P. and its 23rd term.​

Answers

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

The nth term of A.P is determined by the formula-

[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]

where

[tex]\sf a = first \:term[/tex][tex]\sf a_n = nth \: term[/tex][tex]\sf n = number \:of \:terms [/tex][tex]\sf d = common \: difference [/tex]

Since ,

[tex]\sf a_4 = 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]

[tex]\sf a_{30}= 89 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]

[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]

Subtracting equation (1) from equation(2)

[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]

Putting the value of d in equation (1) -

[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]

First term of A.P, a = 2

Second term of A.P.,[tex]\sf a_2= 2+(2-1)\times 3[/tex]

[tex]\quad\quad\quad\sf =2+3[/tex]

[tex]\quad\quad\quad\sf =5 [/tex]

Third term of A.P.,[tex]\sf a_3= 2+(3-1)\times 3[/tex]

[tex]\quad\quad\quad\sf =2+6[/tex]

[tex]\quad\quad\quad\sf =8 [/tex]

[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .

Now,

[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Thus , 23rd term is 68.

What is the slope in this equation

Answers

2, rise over run is 2/1 which means the slope is 2

This is question 4 of my first post can someone help me I’d really appreciate it

Answers

Answer:

wars the graph

Step-by-step explanation:

Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hearts of young children. More information on the details of their study can be found here: https://datadryad.org/stash/dataset/doi:10.5061/dryad.cg849
((The data set can be downloaded. After going to the website, the download is to the right)).

One variable the researchers calculated in these children was the E/A ratio. The E/A ratio is a measurement that reflects the health of the heart. The (E) velocity is greater than the late (A) velocity in a healthy heart. Particularly low or particularly high elevated E/A ratios indicate signs of heart issues.


The mean E/A ratio of the 110 patients in the study was 1.35. The standard deviation was 0.33.


1. One patient had an E/A ratio of 0.73. What is the z-score for this patient?


2. Assuming the population of E/A ratio scores is approximately normally distributed, what's the probability that a randomly selected person has a smaller E/A ratio than the patient in question 1?


3. Another patient had an E/A ratio of 1.96. What's the z-score for this patient? What's the probability that a randomly selected patient has a higher E/A ratio?


4. Which patient has a more extraordinary E/A ratio? Why? Be sure to refer to the z-scores to support your answer.

Answers

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of [tex]\mu = 1.35[/tex].The standard deviation is of [tex]\sigma = 0.33[/tex].

Item 1:

Considering his ratio, we have that X = 0.73, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]

[tex]Z = -1.88[/tex]

His z-score was of Z = -1.88.

Item 2:

The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]

[tex]Z = 1.85[/tex]

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at https://brainly.com/question/24663213

EXPAND AND PLEASE EXPLAIN
FOR BRAINLIEST
(x-1)(x+1)

Answers

Answer:

x^2 -1

Step-by-step explanation:

-1×x + -1×1 + x×1 + x×x

= x^2 -x +x -1

= x^2 -1

[tex] {x}^{2} - 1[/tex]

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has
only $42 to spend. Which inequality represents this scenario if X represents the
number of games Cameron can play?

Answers

Hmmmmmmmmmmmmmm ummmmmmmmm hmmmmmmmmmmm..

Answer:

4.5 Games

Step-by-step explanation:

42 Minus 6 (shoes)= 36

36 divided by 8 (each game) would equals 4.5

What type of number -75 A)rational number B)irrational C) integer D) whole number E)natural number. Reply quickly

Answers

Answer:

Rational number

Step-by-step explanation:

Hope this helps

Answer:

Your answer is: A) Rational

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6 weeks.

Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.

Ronnie spent 4, 6, 3, 7, 7, and 3 hours at play rehearsal.


How does the range of hours Troy spent compare with the range of hours Ronnie spent at play rehearsal? Answer the questions to find out

Answers

Answer: Im trying to find out the same thing oh no!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a data set. (3 points)

To find the range, subtract the smallest value from the largestvalue. For Troy’s  time, the range = 10 - 4 = 6 hours.

2. What is the range of hours Ronnie spent at play rehearsal? (3 points)

Ronnie’s range = 7 - 3 = 4 hours 

3. Who had a greater range of hours spent at rehearsal? (4 points)Troy had a bigger range.

I hope this helps :)

100 POINTS!!!

The y-intercept of a function can be found by:

A. Making x = 0

B. Making y + 0

C. Making x = 2

D. Making y = 2

EXPLAIN

Answers

Answer:

making x=0

Step-by-step explanation:

it gives you the points where the point intersects the y-axis

Answer:

A: Making x = 0

Step-by-step explanation:

The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])

State if the two triangles are congruent. If they are, state how you know.

Answers

Answer:  HL

Why?

Because we have two right triangles with the same shared leg (the L of HL) and the hypotenuses are the same length (the H of HL). The tickmarks tell us those segments are the same.

HL only applies to right triangles because the hypotenuse is only found in right triangles. If we didn't have those 90 degree square markers, then this would be an SSA case, but that's not a valid congruence theorem.

what is 5+5
what is 6x5

Answers

Answer:

5+5 = 10

6x5=30

I hope it works for you

Answer:

10 , 30

Step-by-step explanation:

5 + 5 = 10

6 * 5 = 30

An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm . At time minutes, its displacement from rest is 0m , and initially it moves in a positive direction.
Give the equation modeling the displacement as a function of time .

Answers

Answer:

Midline will be at -13 which is your vertical shift(d)

Amplitude (a) -s 13 si will move up to 0, back to midline(-13), down to -26, and then back to midline to complete the cycle. This would conform to a sine graph

There is no phase shift

The period is 6 minutes so b= 2pi/6 or pi/3

Equation therefor is y= 13sin[(pi/3)x] -13

Hope it helps!!!Brainliest pls!!!

This clock shows the current time. Three hours ago, it was ___________. HURRY NOWW
A) 12:48

B) 11:48

C) 10:48

D) 9:48

Answers

Answer:

d

Step-by-step explanation:

Answer:

maybe a or b but to me it's a

After 1 year, $50,000 deposited in a savings account with simple interest had earned $4,000 in interest. What was the interest rate? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. ​

Answers

Answer:

the interest rate should be 8% let me know if u want me to explain it

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