find the equation of a line passing through (3,2) and (5,6)

Answers

Answer 1

Answer:

y=1/-2x+2.5

Step-by-step explanation:

Y=Mx+c

Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2

C(y-intercept)= replace one of of the points here to find C

2=1/-2(3)+c, c= 2.5

Final answer > y=1/-2x+2.5


Related Questions

A triangle has sides with lengths of 9 miles, 12 miles, and 15 miles. Is it a right triangle?

Answers

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Which expression is equivalent to 3/5?

Answers

Answer:

6/10 or 0.6 or 60% Hopefully this helps

Answer:

The fractions equivalent to 3/5 are 6/10, 9/15, 12/20, etc. Equivalent fractions have the same value in the reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Step-by-step explanation:

Please help. ASAP. This is so confusing.

Answers

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21

NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!

Answers

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

8. Instructions: Find the missing side of the triangle.

Answers

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

This is just a question to answer to boost your points. (students who need points to find answers only!)

What is the correct answer to 5x5/2?

Answers

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?

Answers

Answer:

9

Step-by-step explanation:

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

3+x=7 help please I’m so confused

Answers

×=4

Step-by-step explanation:

#CARRY LEARNPA BRAINLIEST PO!

Answer:

[tex]\huge\boxed{\bf\:x = 4}[/tex]

Step-by-step explanation:

[tex]3 + x = 7[/tex]

Bring 3 to the right hand side of the equation and isolate the variable.

[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Which inequality does the graph represent (pls I’m HORRIBLE at number lines so please answer both if possible, Ty)

Answers

Answer:

For #11 it is X≥-2.  For #12 it is X<-1 I think

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet

Answers

Answer:

101.8 lb

Step-by-step explanation:

1760 sq ft are covered by 40 lb

4480 sq ft are covered by x

1760/40 = 4480/x

1760x = 40 × 4480

x = 179,200/1760

x = 101.818181...

Answer: 101.8 lb

5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440​

Answers

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

what is the discount on a pair of shoes with a regular price of $48?

Answers

The discounts on a pair of shoes with a regular price of $48 is 24

Solve for x. Leave your answer in simplest radical form

Answers

Answer:

x = 2√7

using Pythagoras theorem:

7² + ?² = 9²?² = 81 - 49? = √32? = 4√2

For the bottom part:

x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

Write a real world problem that can be presented by the equation y + 20 = 85

Answers

Sally and Susie went shopping at a grocery store, they spent $85 in total. Sally spent $20, how much did Susie spend?

need help hurry!!!!!

Answers

Answer:
Hope this helps

Answer:

y=3x

Step-by-step explanation:

Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows.  Same with the bottom. Go down 3 left one.

Please Help Me!!
The price of a loaf of a particular type of bread increased from $3.70 to $5.59 from 2011 to 2021. What was the percent increase in the price of the loaf of bread over those 10 years? Round your answer to the nearest tenth of a percent.

The price of the loaf of bread over the 10 years was_____%(round to the nearest tenth of a percent.)

Answers

Answer:

51.1% to the nearest tenth.

Step-by-step explanation:

Increase = 5.59 - 3.70 = $1.89.

% increase = (1.89/3.70) + 100

= 51.08%

9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.

Answers

#1

3days back means 3

Put it

[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]

[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]

[tex]\\ \rm\Rrightarrow p=1562.5[/tex]

Now

#2

Let's see

[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]

[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]

[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]

[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]

[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]

[tex]\\ \rm\Rrightarrow d=-1.654[/tex]

3. Solve the inequality and graph the solutions.
-5x < 15

Answers

Answer:

[tex]\boxed{{x} > -3}[/tex]

Step-by-step explanation:

Given inequality:

[tex]-5x < 15[/tex]

To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.

[tex]\rightarrowtail -5x < 15[/tex]

[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]

[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]

Note: If we are dividing both sides by a negative integer, the sign changes.

[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]

To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.

[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]

[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]

[tex]\rightarrowtail \boxed{{x} > -3}[/tex]

Graph:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.​

Answers

Answer:
Undefined
Step-by-step explanation:
Slope can be found by using the formula (y2 - y1) / (x2 - x1). In this case, -2 is y2, -3 is y1, and both x2 and x1 are equal to -8. (-2 - -3) / (-8 - -8) = 1/0. Since the denominator is 0, this slope is a vertical line, which is undefined.

Answer:

undefined

Step-by-step explanation:

Given points:  (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]

Proof

[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]

Any number divided by zero is undefined.

Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10

Answers

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3
A- a+1

= 1 more than a number (a)

B- q-9

= q less than 9

C- 3y+7

= 3 times y added to 7

D- x/3+9

= a number (x) divided by 3 more than 9

E- 3x+10

= 3 times x added to 10


Write a formula for function h in terms of function f.
h(x)=

Answers

Answer:

h(x) = f(x + 12) - 4

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4

The formula is

h(x) = f(x + 12) - 4

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)

Differences

x-values:  6 - (-6) = 12y-values:  7 - 11 = -4

Therefore, y = f(x) has been:

translated 12 units righttranslated 4 units down

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

Learn more about transformations here:

brainly.com/question/27845947

Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A'?

Question 8 options:

(2, 4)


(-2, 4)


(4, 5)


(6, 12)

Answers

Answer: (2, 4)

Step-by-step explanation:  If it is reflected over the x-axis then the coordinates of A is (2, 4)

find 60% of 40 gallons.

Answers

Hey there!


60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24


Therefore, your answer is: 24


Good luck on assignment & your day day!


~Amphitrite1040:)

In order to be successful in taking math exams, what are some important test taking strategies?

Answers

Answer:

Hope this helps =)

Step-by-step explanation:

Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it out

The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.

Answers

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

The 10th term of the sequence is 66.

What is Sequence?

In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.

We have the rule: 5n + 16

Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:

5n + 16 = 5(10) + 16 = 50 + 16 = 66

Therefore, the 10th term of the sequence is 66.

Learn more about Sequence here:

https://brainly.com/question/28889988

#SPJ2

Find the volume of the rectangular prism. Enter your answer in the box
u will get 50 points don't answer if you don't know

Answers

Answer:

151.7 cm^3

Step-by-step explanation:

3.7 x 10 x 4.1 = 151.7

BRAINLIEST? TY!!

Answer:

151.7 cm^3

Step-by-step explanation:

If you didn't know already the volume of a rectangular prism is

length x witdh x height.

Multiply 10x4.1 and you will get 41

Then multiply 41 by 3.7 to get 151.7.

Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY

Answers

to find:

92.6% of 103.93km

solution:

Our output value is 103.93.

let's represent the unknown as x.

103.93=100%

Similarly, x=92.6%

103.93= 100% (1)

x= 92.6% (2)

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:

103.93/x = 100%/ 92.6%

the reciprocal of both sides gives:

x/ 103.92 = 92.6/100

= 96.23918

2 dp= 96.24

so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.

Answer:

96.24 km

Step-by-step explanation:

To Find :

92.6% of 103.93 km

Solving :

% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)

find the circumference

Answers

Answer:

18πm

Step-by-step explanation:

The area is πr^, so to find just the radius, take the square root of 81.

This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.

If you found this helpful, I would appreciate if you gave me the brainliest award :D

Can, you help me thanks. <3

Answers

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)

Answers

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

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

Multiply both sides of the equation by the common denominator:

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

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

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

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

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