Write an equation for the line that passes through (−8.5,11) and (5,−2.5)

Write An Equation For The Line That Passes Through (8.5,11) And (5,2.5)

Answers

Answer 1

y = -x + 2.5

slope formula:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

find slope:

[tex]\rightarrow \sf \dfrac{-2.5-11}{5-(-8.5)}[/tex]

[tex]\rightarrow \sf \dfrac{-13.5}{13.5}[/tex]

[tex]\rightarrow \sf -1[/tex]

equation formula:

[tex]\sf y_1-y = m(x_1-x)[/tex]

find equation:

[tex]\hookrightarrow \sf y-11=-1(x-(-8.5)[/tex]

[tex]\hookrightarrow \sf y-11=-x-8.5[/tex]

[tex]\hookrightarrow \sf y=-x-8.5+11[/tex]

[tex]\hookrightarrow \sf y=-x+2.5[/tex]

Answer 2
(-8.5,11)(5,-2.5)

Slope:-

m=-2.5-11/5+8.5m=-13.5/13.5m=-1

Equation in point slope form

y-11=-1(x+8.5)y-11=-x-8.5y=-x+2.5

Related Questions

Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?

Answers

Answer: 15 months

Step-by-step explanation:

The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False

Answers

Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

Please help! And show how u solve!
Find X

Answers

Answer: 36

Step-by-step explanation:

Making late payments on credit card bills has what kind of effect on a person's credit score?

a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.

Answers

Answer:

A. Late payments have a negative effect on a person's credit score.

Step-by-step explanation:

Hope this Helps!

Answer:

A late payments have a negative effect on a persons credit score

Step-by-step explanation:

A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.

100 POINTS PLEASE HURRY

Answers

5.80^3 is your answer

Answer:

5.80^3‎‎‎‎‎‎‎‎‎‎‎‎‎‎

You are given the following system of equations: y:
- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?

Answers

Answer:

70.

Step-by-step explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.

The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?

Answers

Well, if it is 96 meters long (im guessing thats what you meant) and 52 meters wide, you would need 4,992 meters of fencing

The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).

Answers

The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

How to determine the possibe distance?

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

Read more about sine ratios at:

https://brainly.com/question/2920412

fully explain why, in general, (a + b)^2 = a^2 +b^2.

Answers

No this is not correct identity

(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

Expression: (a + b)²

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

⇒ a² + 2(a)(b) + b²

When opening the parenthesis, we get;

⇒ a² + 2ab + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

Expression: a² + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

(a + b)² = a² + b²

This can be rewritten as;

a² + 2ab + b² = a² + b² (False)

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

solve kx + 7 = 4 for x

Answers

Answer:

are we looking for x if we are its

Step-by-step explanation:

x= -3/k

Answer:

 x = -3/k

Step-by-step explanation:

Solve kx+7=4 for x

kx+7=4

kx =4 - 7

kx = -3

Determine whether these two triangles are similar, and if so what is the ratio of their sides?

Yes, ratio = 3/4
No, these triangles are not similar
Yes, ratio=3/8
Yes, ratio=4/5

Answers

no the triangles are not similar

Answer:

not similar

Step-by-step explanation:

4/3 = 1.3333...

10/8 = 1.25

The ratios are not equal, so the triangles are not similar.

help me please, please

Answers

The little square means a right angle which is equal to 90 degrees.

X + 30 = 90

X = 60 degrees

Should you use Sine, Cosine, or Tangent to solve the following problem?

Answers

Answer:

sine

.....................

In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?

Answers

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

Find the area of the rug. DO NOT ROUND.

what is the area?

Answers

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]

Substitute the diameter to obtain the radius of the rug.

⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

This is 15 points for whoever answers.

Answers

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

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

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x[/tex]

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Answers

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Length * Width6.5 * 8.655.9 in²

Area of the shaded region:

120.4 in² - 55.9 in²64.5 in²

I need this answered please

Answers

Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

Please rate and mark brainliest!!

Hey Buddy !

Question : -

For the following right triangle , find the side length x .

Given : -

Perpendicular = 12

Base = 35

Hypotenuse = x

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

Pythagoras Theorem : -

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H = Hypotenuse

P = Perpendicular

B = Base

From Here Solution Starts : -

Substituting the values in formula :

x² = 12² + 35²

x² = 144 + 1225

x² = 1369

x = √1369

x = 37

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

#[tex] \rm{ \bold{Keep \: Learning}}[/tex]

4) Good Work Company charges by the word to run classified ads. This company charges $12 for
the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?
b. How much would a 50-word classified ad cost?

Answers

Equation::

Rate of change=0.55$

If words be x

Equation in slope intercept form

y=12+0.55x, x≥15

So

#1

More words=25-15=10

Cost:-

y=12+0.55(10)=12+5.5=17.5$

#2

Extra words=50-15=35

Cost:-

y=12+0.55(35)=12+19.25=29.25$

Answer:

a. $17.50

b. $31.25

Step-by-step explanation:

a.

For $12 you get 15 words.

For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.

cost = $12 + 10 × $0.55

cost = $12 + $5.5

cost = $17.50

b.

50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.

cost = $17.50 + 25 × $0.55

cost = $17.50 + $13.75

cost = $31.25

PLEASE HELP ILL GIVE BRAINLIEST

james bought a movie ticket for $4.05. he paid the movie ticket with quarters and dimes. if james used 18 coins in all, how many quarters (q) and dimes (d) did he use?

Answers

Answer:

15q + 3d

Step-by-step explanation:

15 quarters = 3.75

4.05 - 3.75 = 0.30

3 dimes = 0.30

sooo.

3.75 (15q) + 0.30 (3d) = 4.05

Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?

Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.

Answers

Answer:

Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.

The attachment cannot be uploaded because it isn't JPEG :(

What is the answer for this math problem?

Answers

Answer:

9 feet

Step-by-step explanation:

v = lwh (volume equals length times width times height)

75.6 = 4 x 2.1 x d

multiply l and w, which is 4 x 2.1

75.6 = 8.4 x d

divide 75.6 by 8.4

9 = d

Answer:

The value of j is 9feet

Step-by-step explanation:

[tex] \hookrightarrow \sf \: v = whl[/tex]

⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]

⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]

Step 1: Simplify both sides of the equation.

⇒[tex] \sf {75.6=8.4j}[/tex]

Step 2: Flip the equation.

⇒[tex] \sf {8.4j=75.6}[/tex]

Step 3: Divide both sides by 8.4.

⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]

⇒[tex] \sf {j=9}[/tex]

What can you take from 60 to make 20?

Answers

40.

60 - 20 = 40.

Very simple.

A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?

Answers

Given -

A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.

i.e, length = 2cm, breadth = 4cm and height = 6cm

Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.

i.e, side = 2cm

To find -

the number of cubes that can be fit into the rectangular box.

Concept -

To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,

Volume of Rectangular Box = l × b × h

Volume cube = a³

where,

l = length b = breadthh = heighta = side

Solution -

[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]

[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]

Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.

How do you find the arc length of the partial circle?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]

Angle=2π-π/2=3π/2Radius=4

So

Arc length

L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8units

If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!

Answers

-3,-2 is the answer because of them are near

Transformation MATHS
anyone pls help me fond a solution to this ques

Answers

Answer:   (-h, -g)

======================================================

Explanation:

Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).

To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).

In general the rule is [tex](x,y) \to (x,-y)[/tex]

---------------------

Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].

For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.

As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.

----------------------

Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).

We're given the point (g,h) where we don't know g nor h.

The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.

Then applying transformation W has us get to (-h, -g) as the final answer.

----------------------

As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.

Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)

The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.

However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.

first a price was decreased by 12% then it was discounted again by 5% what is the percent of the total discount. From RSM

Answers

x = original price or 100%

so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]

now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.

so what's 95% of 0.88x?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]

so the new discounted price is just 0.836x or 83.6% of our original "x".

from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.

Question below! :)
Brainliest!

Answers

Answer:

Point C, because it is the only place on the picture where the lines cross.

Answer:

point C

Step-by-step explanation:

That is the point where they intersect

Find the area. HELP PLEASE!!!

IF ITS CORRECT I WILL GIVE YOU A BRAINLIEST.​

Answers

Answer:

135

Step-by-step explanation:

Use formula b(h) which is 9x15 and get 135

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