Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=

Answers

Answer 1

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5


Related Questions

help me please it’s timed !!!

Answers

ANSWER:

AD is C. 5.42

While

AB is A. 5

Welcome :)

please help out
3/2÷5

Answers

Answer:

0.3

Step-by-step explanation:

[tex] \frac{3}{2} \div 5[/tex]

[tex] = \frac{3}{2} \times \frac{1}{5} [/tex]

[tex] = \frac{3}{10} [/tex]

= 0.3 (Ans)

Answer:

3/10

Step-by-step explanation:

3/2÷5

3/2÷5/1

3/2÷10/2 ( LCM of denominators)

3/2×2/10 ( Reciprocal of 10/2)

3/10 (Cancelling 2 by 2)

If the diameter of the Ferris wheel is 70 feet across, find the total distance traveled in one revolution.

Answers

Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet

Circumference=one revoloution

Circumference=Diameter times pi

C=Dπ

C=3.14*70

=219.8

219.8 feet

I need help with this math problem please

Answers

It’s D

have a great day!

photo attached below :)

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

What is the effect on the graph of the function f(x) = 2* when f(x) is replaced with f(-x)?
A)
vertical stretching
B)
vertical compression
horizontal compression
D)
horizontal stretching

Answers

Horizontal stretching

What type of connection can you make between markups and tips or taxes?

Answers

Answer:

Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts.Step-by-step explanation:

Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal, and as a
percent.
You choose a marble at random from a bag containing 12 red, 12 blue, 13 green, 5 yellow, and 18 black
marbles.
The marble is red.
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is
%.

Answers

Answer:
1/5
0.2
20%

Please mark brainliest!

Triangle Q R S is cut by line segment V W. Point V is the midpoint of side Q S and point W is the midpoint of side R S. The length of Q R is 3 a + 6, the length of V W is 2 a minus 2, and the length of V S is 2 a.
If V is the midpoint of Line segment Q S and W is the midpoint of Line segment R S, then what is VS?

4 units
8 units
10 units
20 units

Answers

Answer:

20 units

Step-by-step explanation:

We can see that triangle QRS and triangle VWS are similar triangles.

Similar triangles are triangles in which the ratio of their corresponding sides are in the same proportion.

V is the midpoint of QS.

VS = 2a, QS = 2 * VS = 2(2a) = 4a

Since both triangles are similar triangles, hence:

\begin{gathered}\frac{VS}{QS}=\frac{VW}{QR}\\\\\frac{2a}{4a} =\frac{2a-2}{3a+6} \\\\\frac{2a-2}{3a+6} =\frac{1}{2} \\\\2(2a-2)=3a+6\\\\4a-4=3a+6\\\\a=10\ units\\\\VS=2a=2(10)=20\ units\end{gathered}

QS

VS

=

QR

VW

4a

2a

=

3a+6

2a−2

3a+6

2a−2

=

2

1

2(2a−2)=3a+6

4a−4=3a+6

a=10 units

VS=2a=2(10)=20 units

ur wlcm♥️♥️

Answer:

20 UNITS

Step-by-step explanation:

EDG 2020

Suppose you and a friend are playing this game. You draw a card from a bag. Each card has one letter on it.
There is one card for every letter in the words WHO WILL WIN.
If you draw a W, you win,
If your friend draws an L, she wins.
Is this a fair game? Explain.

Answers

Answer:

No it is not fair how can two people win

Q2 find the degree of the polynomial
x4(4x+1)​

Answers

Step-by-step explanation:

x⁴(4x+1)

4x⁵+x⁴

degree is 5

Work out 7/9×18/63 Give your answer in its simplest form.

Answers

Answer:

2/9

Step-by-step explanation:

7/9×18/63

Rewriting

7/63  * 18/9

1/9 * 2/1

2/9

[tex]\longrightarrow{\green{ \frac{2}{9}}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

✒[tex] \: \frac{7}{9 } \times \frac{18}{63} [/tex]

✒[tex] \: \frac{2}{9} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]


[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]
What the value of n​

Answers

Step-by-step explanation:

[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]

[tex] {7}^{2n + 1} \div {7}^{2} = {7}^{3} [/tex]

[tex] {7}^{2n + 1 - 2}= {7}^{3} [/tex]2n-1=32n=4n=2

Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)... a. Bar graph b. Time plot c. Histogram d. Box plot

Answers

Answer:

Time plot

Step-by-step explanation:

The data from which a plot or graph is to be generated will have only one variable, which is the rain acidity, that is acidity level of Rainfall over a certain period. However, the data gbwre is time dependent, hence, it is a time series plot. Hence, this is a two dimensional univariate plot, with the acidity label of Rainfall on one axis and time on the other. Therefore, the graph which is best to display such information is the time series plot.

Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?

Answers

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

find the six rational numbers between -4 and 5/4

Answers

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10

what is the width of a triangle that has a 15 cm height and hypotenuse of 19 cm​

Answers

Answer:

Pythagorean Theorem

Question Answer

Find the width of a triangle that has a 15cm height and a hypotenuse of 19cm. 11.7cm

A helicopter rises straight up 300m then flies west 400m. How far is it from the beginning (if it travels in a straight line back)?

A. Direction: Find the area of the following circle:

1)
Radius= 5cm

Area=________
2)
Radius= 3.2 cm

Area= ________
3)
Diameter= 10 cm
Area= ________


Pasagot po plss. Pasahan kona po sa lunes:))​

Answers

Answer:

Here,

Step-by-step explanation:

1. Area = 78.57 cm²

2.Area = 32.18 cm²

3. Radius= diameter/2

so area = pi.r²

area = 78.57 cm²

Not sure about this question

62.5% of a number is 25. What is half of the same number.​

Answers

let the number be b

62.5/100 x b = 25

0.625 x b = 25

b =25/0.625

b=40

half of b= 40/2 = 20

a 16- ounce package of cereal costs $4.00. what is the units cost?

Answers

Answer:

1 oz = $25

Step-by-step explanation:

Answer:

1 OZ= 25 cents.................. this is correct

Step-by-step explanation:

you multiple 16 times .25 which gets 4.00

The table shows the displacement-time data for a ship relative to a shore.
t(hours) 2.95 3.15 3.75 3.95 3.99 4.00
s(0 (miles) 14.95 17.61 27.23 31.01 31.80 32.00
Estimate the instantaneous velocity of the ship at t = 4 hours.
A.
20.00 mi./h.
B.
20.15 mi./h.
C.
20.25 mi./h.
OD.
20.50 mi./h.

Answers

Answer:

Step-by-step explanation:

What is the distance between the points?

Answers

Answer:

[tex] \sqrt{113} [/tex]

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (-4, -5) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]

[tex] d = \sqrt{64 + 49} [/tex]

[tex] d = \sqrt{113} [/tex]

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: Determine the distance between (-4, -5) and (4, 2).

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-4, -5)[/tex][tex]\sf (x_2, y_2) = (4, 2)[/tex]

Substitute the given values into the distance formula and solve for d:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\sf d = \sqrt{[4 - (-4)]^2 + [2 - (-5)]^2}[/tex]

[tex]\sf d = \sqrt{(8)^2 + (7)^2}[/tex]

[tex]\sf d = \sqrt{64 + 49}[/tex]

[tex]\bold{d = \sqrt{113} \approx 10.6 \: units}[/tex]

Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

Find the distance between P(1, 3) and Q(7, 11).

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437

Jason leaves Detroit at 4:00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at 4:40 PM. (a) Express the distance d traveled in terms of the time t (in hours) elapsed. d(t)

Answers

4:48 minus 4:00 = 48 min
Time in hours is +48%2F60+=+4%2F5++ hrs
+40+=+r%2A%284%2F5+%29+
+r+=+%285%2F4%29%2A40+
+r+=+50+ mi/hr
+40+=+50%2A%284%2F5%29+


Olivia can bake 95 cookies in 5 hours. At this rate, how many cookies can she bake
in 11 hours?

Answers

209 I’m pretty sure…………………………………..

Answer:

Olivia will make 209 cookies on 11 hours

Step-by-step explanation:

if she makes 95 per 5 hours

we can make

5 + 5 = 10

this is the same as doing

95 + 95 = 190

now, for the 1 hour

95 : 5 = 19

now to verify it

19 x 5 = 95

now you make

95 + 95 + 15 = 209

Oops, srry my bad, i fixed the thing i did wrong

What is the standard form polynomial that represents this product?
(-2m3+3m2-m) (4m2+m-5)

Answers

Correct answer on Edmentum

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
O f(x)= x2 – 3x-+3-17
O f(x)= 4x² -1245x+3/7
O f(x)=x2 – 3x? – X+21
O x) = 4x° - 12x - 28x+84

Answers

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

[tex]x^2-3x-7x+21[/tex] which simplifies to

[tex]x^2-10x+21[/tex] and we distribute in the 4:

[tex]4(x^2-10x+21)[/tex] to get

[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.

The expression w^4 - 36 is equivalent to

Answers

Answer:

(w² + 6)(w² - 6)

Step-by-step explanation:

difference of squares

w⁴ - 36 = (w² + 6)(w² - 6)

HI CAN SOMEONE THAT REALLY KNOWS ABOUT THIS HELP ME WITH FINAL EXAM...

The data represented by the following stem-and-leaf plot range from
to

489
5147
6235
769

A. 49; 79
B. 48; 79
C. 48; 76
D. 49; 76


Answers

Answer : B.) 48; 79

The minimum value is always at the start of the plot, and the maximum is always at the end.

how do your find solution to z^5 = *7776i

Answers

Answer:

you have to solve for z, z = 6\root(5)(i), this to the power of 5 equals 77761

Step-by-step explanation:

What is the slope of the line passing through (-3, 5) and (5, -3)?

Answers

Answer:

The line has a slope of -1.

Step-by-step explanation:

To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2 }-y_{1} }{x_{2} -x_{1} }[/tex].

For finding the slope of this line with the points (-3,5) and (5,-3), start by writing down the information given from the question.

[tex]y_{2}=-3[/tex]

[tex]y_{1}= 5[/tex]

[tex]x_{2}=5[/tex]

[tex]x_{1} =-3[/tex]

Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(5)}{5-(-3)}[/tex]. Then, simplify the equation, which will look like  [tex]\frac{-8}{8}=-1[/tex]. The final answer will be -1.

A company needs to hire a new director of advertising. It has decided to try to hire person A or B, who are assistant advertising directors for its major competitor. To decide between A or B, the company finds that A is in charge of 2/3 of the total accounts while Peron B is in charge of only 1/3 of the accounts. Also, A’s campaigns have satisfactory results 3 out of 4 times, while B’s campaigns has satisfactory results only 2 out of 5 times. Suppose one of the competitors ad campaigns is selected randomly
a) Draw the tree diagram of the info above
b) Find the probability that A is in charge of the selected campaign and that is produces satisfactory results
c) Find the probability that the selected campaign is satisfactory

Answers

Answer:

b) 0.5

c) 0.633

Step-by-step explanation:

a) Please find the attached image - tree diagram

b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results  = 2/3 * 3/4 = 1/2 = 0.5

c) P (selected campaign is satisfactory)

         = P(A's campaign and satisfactory) + P(B's campaign and satisfactory)

         = 2/3*3/4 + 1/3*2/5

         = 0.6333

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