What is an equation for the perpendicular bisector of the line segment joining (1,2) and (-5,12)? Write your equation in point-slope form, standard form, or slope-intercept form.

Answers

Answer 1

Answer:

Step-by-step explanation:y = 0.6x + 8.2


Related Questions

Solve this quadratic function

Answers

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]

now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]

[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]

Can someone explain it step by step ?​

Answers

Answer:

1. (x - 1) × (x + 3)

2. x = 3 and y = -2

Step-by-step explanation:

x² + 2x - 32x + 3y = 0; y = 3x - 11  

rewrite the equation:

y = 3x - 11; 2x + 3y = 0

solve y = 3x - 11 for the y:

y = 3x - 11

substitute 3x - 11 for y in 2x + 3y = 0;

2x + 3y = 0;

2x + 3y = 0

2x + 3 (3x - 11) = 0

11x - 33 = 0 (simplify both sides of the equation)

11x - 33 + 33 = 0 + 33 (add 33 to both sides)

11x = 33

11x/11 = 33/11 (divide both sides by 11)

x = 3

subtitute 3 for x in y = 3x - 11

y = 3x - 11

y = (3)×(3) - 11

y = -2  

I showed one equation because the other is self explanatory, hope this helps.

Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?

Answers

Answer:

3.5 cups of sugar per bag.

Step-by-step explanation:

17.5/5

3.5 cups of sugar are used to make 1 bag of cotton candy

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 5 bags of candy = 17.5 cups of sugar needed

and, For 1 bags of candy

=17.5/ 5

=3.5 cups of sugar needed

hence, 3.5 cups of sugar are used to make 1 bag of cotton candy

Learn more about unitary method here:

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87 is 12.5% of what number?

Answers

Answer:

696

Step-by-step explanation:

158) -.- A) P-3 in B) P-86 C) P-92 in D) P96 4​

Answers

Answer:

P = 83 in

Step-by-step explanation:

For this one, all we need to do is substitute 7 for x and 4 for y:

3x + y = ?

3(7) + 4 =?

21 +4 = ?

21 + 4 = 25 in.

Now for the next one:

4y = ?

4(4) = ?

4(4) = 16

Now we solve the final side:

6x = ?

6(7) = ?

6(7) = 42

Now to find P, we must add them all together:

25 + 16 + 42 = 83

Therefore P = 83

Answer:

A) P = 83

Step-by-step explanation:

-=======================-

3x + y

3(7) + 4 =

21 + 4 =

25

-=======================-

6x

6(7)

42

-=======================-

4y

4(4)

16

-=======================-

25 + 16 + 42 = 83

Hope this helps.

Answer fast please!!!

Answers

The correct answer is C. 58

Hope this helps!

Step-by-step explanation:

the answer is 58 this is the result I hope I've helped

Can someone check my work and show me where I went wrong?

Answers

Answer:

the part where it's 25 and 183 should be 5400 if you are rounding to the nearest 10 and then multiplying

Answer:

You made a wrong answer in 183 and 25.

It should be 5,400

Step-by-step explanation:

183 round to the nearest ten = 180

25 round to the nearest ten = 30

180 * 30 = 5,400

Subtract and simplify. 12 3\8 − 9 1\8 =

Answers

Answer:

[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]

Step-by-step explanation:

[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]

Patient”s wt: 60 lbs Medication order: 0.5 mg/kg Stock medication : 10 mg/mL, How many mL will you give them?

Answers

Answer:

Needs 13.6077 mg/mL, but they have in stock only 10 mg/mL, so will be short 3.6077 mg/dL.

Step-by-step explanation:

1 lb= 0.45359 kg

60lbs converted to kg= 60lb = 27.2154 kg

Medication order 0.5 mg x kg = 0.5 mg x 27.2154 kg = 13.6077 mg/mL

In stock only 10 mg/mL= 13.6077 mg/mL - 10 mg/mL= 3.6077 mg/mL

Will be short 3.6077 mg/mL

Brainliest to the one thats right

Answers

Answer:

Option C is correct.

Step-by-step explanation:

In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.

HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35

Answers

Answer:

Step-by-step explanation:

just do 35-17

Answer:

Step-by-step explanation:

first find b.

To find b, subtract 17 from 35.

35 - 17 = b

35 - 17 = 18

next, add 17 and 18 to see if it equals 35.

17 + 18 = 35

so, b = 18.

A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?

Answers

Answer:

6[tex]\frac{2}{3}[/tex] inches tall

Step-by-step explanation:

4:6 = x:10

We can set it up like this:

[tex]\frac{4}{6}=\frac{x}{10}[/tex]

And then cross multiply & solve:

40 = 6x

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

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Solve for b.

b+23=114

Enter your answer as a fraction in simplest form in the box.

b =

Answers

b = 91

b + 23 = 114
- 23 - 23
b = 91

Not quite sure how this would appear as a fraction.

An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

b + 23 = 114

Add -23 both sides

b + 23 - 23 = 114 - 23

b + 0 = 91

b = 91

Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".

For more about the equation,

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A store pays $306.56 for a refrigerator. The store marks up the price by 29%. What is the amount of the mark-up?

Answers

The price of the mark up would be 395.4624

I got this by doing:
306.56 x 29/100 = 88.9024
88.9024 + 306.56 = 395.4624

306.56x29%= 88,9024
306.56-88,9024= 217,6576

A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now

Answers

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

divide £100 into 1:4

Answers

Answer: the answer is 25

Step-by-step explanation:

First do 100/1

Then do 1 x 100/1 x 4

so then divide 100 by 4 =

25/1 =

25

the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?​

Answers

Answer:

700 liter

Step-by-step explanation:

because 1000 * 7/10 is 700

b. Symbols Write an expression for the number of feet in x inches.
Help!!

Answers

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

which ones would be correct?

Answers

[tex] \: \: \: \: \: [/tex]

parallelogram

A parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.

hope it helps

[tex] \: \: \: \: \: [/tex]

The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?

Can someone explain how to do this.

Answers

The slope is the constant rate of change. In this case, the number is being multiplied by 3 each time

The slope is 3
“x represents number of chocolate truffles sold each day”
Represents amount of chocolate truffles sold per day

Can somebody please help this is honestly due tomorrow

Answers

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

What is the quotient of 15a4b3/12a2b ? Assume that the denominator does not equal zero.

Answers

Answer:

[tex]\frac{5a^2b^2}{4}[/tex]

Step-by-step explanation:

Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.

___ km/hour

Answers

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?

Answers

Answer:

(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest

14/15 + 8/15 + 4/5 please help

Answers

Answer:

[tex]=\frac{34}{15}[/tex]

[tex]=2\frac{4}{15}[/tex]

Step-by-step explanation:

With unlike denominators find the Least Common Denominator (LCD)

LCD = 15

Multiplying numerators and denominators to get the LCD in all fraction denominators

[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]

With like denominators we can operate on just the numerators

[tex]=\frac{14+8+12}{15}[/tex]

[tex]=\frac{34}{15}[/tex]

Simplifying the answer

[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]

write this fraction as a decimal use bar notation if neccesary
3 15/44

Answers

Answer:

3.34

Step-by-step explanation:

First step: 3x44=132, 132+15=147. Then use 147 as numerator and 44 as denominator.

Second step: Divide 147/44= 3.3409090909091, round and get 3.34.

Hope this helps.

9/10 - _ = 1/5 mathematics

Answers

Answer:

x=7/10

Step-by-step explanation:

1/5=2/10

9/10-       =2/10

Substitute the blank with X

9/10-  X  =2/10

x=7/10

Answer:

7/10

Step-by-step explanation:

9/10 - _ = 1/5

Let's represent the unknown as x

Therefore,

9/10 - x = 1/5

9/10 - 1/5 = x

x = 9/10 - 1/5 = 7/10

Evaluate.

12⋅(1/4+1/3)power 2 +23 help ASAP

Answers

Answer:

325/12

Step-by-step explanation:

12(1/4 + 1/3)² + 23

12(7/12)² + 23

12(49/144) + 23

49/12 + 23

325/12 = 27 1/12 = 27.08333333

"HKA
Erloka borrowed money from her brother to buy a new phone, and is paying off a fixed amount
each week

Answers

Answer:

$76

Step-by-step explanation:

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