Quadratic functions 30pt

Quadratic Functions 30pt

Answers

Answer 1

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2

Slope of line segment

= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)

= \frac{4 + 8}{5 + 7}=5+74+8

= \frac{12}{12}=1212

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)

Midpoint of line segment

= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)

= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.


Related Questions

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Answers

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

Which of the following does NOT represents a function?​

Answers

the answer that does not represent a function is A.

Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
What is the COST PER YARD?

Answers

Answer:

7.68$

Step-by-step explanation:

2+(1/12)=2.08

16/2.08=7.68

Answer:

6.4

Step-by-step explanation:

/I could use some help i dont know this

Answers

Answer:

4.5+19.75=24.25

Step-by-step explanation:

rico wants to buy a battery operated toy car which caused 580 7.50 he has already save one 50.00 points his ninong give him 200 point zero zero if he saved 12.50 a day from his allowance how long will it take him to save the rest of money to buy the toy car​

Answers

Answer:

19 days

Step-by-step explanation:

1 - Make an equation with the variables provided.

150 + 200 + 12.50x = 587.50

2 - Simplify both sides.

350 + 12.50x = 587.50

3 - Subtract 350 from both sides.

12.50x = 237.50

4 - Divide by 12.50 to find your x variable.

x = 19 days

Brainliest would be appreaciated! :-)

A polygon with both equal angles and equal sides is called

Answers

Answer:

It's called a regular polygon

Answer:

A regular Polygon

Step-by-step explanation:

3 3/4 divided by 1 1/3 in fraction answer

Answers

Answer: 4/3

Step-by-step explanation:

Determine whether each sequence is arithmetic, geometric, or neither. Explain
-6, -3, 0, 3, ...

Answers

Answer:

Its arithmetic because it's being added 3 each time.

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic refers to addition and subtraction. Geometric refers to multiplication and division.

In this instance, the sequence has a common difference of 3 (3 is added as the sequence continues).

Please look at picture for question.

Answers

Answer:

I believe the blue dot is on -10

Step-by-step explanation:

Counting from zero by 2's

0, -2, -4, -6, -8, -10,...

Hope this helps! :)

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

A ball is thrown vertically upward with a speed of 25.0 m/s

50% of 70
help! I don’t understand!!

Answers

Answer:

The answer is 35.

Step-by-step explanation:

50% means half of a number.

For example, 50% of 20 is 10, because half of 20 is 10.

In this situation, the number is 70.

Do 70 divided by 2.

The answer is 35.

Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50.  This will give you 35. (The answer.)

Step-by-step explanation:

Any percent can be written as a decimal.  Move the decimal point two places to the right to convert a percent to a decimal.  For example, 25% to .25 and 50% to .50.  

If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?

Answers

Answer:

2n-5

Step-by-step explanation:

So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5

The value of (A - B) in the simplest form is (A - B) = -8n + 9.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are A = -3n + 2 and B = 5n - 7.

The value of A - B is:

A - B

= -3n + 2 - (5n - 7)

= -3n + 2 - 5n + 7

= -8n + 9

Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.

Learn more about equations here:

https://brainly.com/question/10413253

What is the radical form of the expression 4 3/2?

Answers

Answer: D

Step by Step explanation:

Answer:

[tex]\sqrt{4^{3} }[/tex]

Step-by-step explanation:

4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]

since the numerator (3) represents the exponent, and the denominator (2) is the root

think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power

the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms

Answers

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.

How many cups of cream would you need for 7 cups of sugar

Answers

Answer:

sugar is bad so just use cream

Step-by-step explanation:

sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.

hope this helps

What is the value of x? Enter your answer in the
box.

Answers

Answer:

70⁰ + 30⁰ + x = 180 ( angle sum property (

100⁰ + x = 180

x = 80⁰

please help ill mark brainliestO​

Answers

Answer:

Yes triangles ACB and FGC are similar using AA.

(Please don't hate if it's wrong)

6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.​

Answers

Answer:

14.5 ≥ g(1.5)

g = The number of trips to the grocery store.

You will have 11.5 gallons left.

Evaluate.

16÷(2+1/2)2

(the 2 at the end is a 1 half to the 2 power)

Answers

PEMDAS, notice Parentheses is first, then Exponents 2nd

[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]

now that the exponent got done, let's keep in the parentheses

[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]

PEMDAS, after all that we'll do D, Division next

[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]

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

this just some addition to your previous posting, since you kinda got spammed some

[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]

notice, PEMDAS, P first and so on, AS are last, from left to right.

I need help solving please

Answers

Answer:

B.

Step-by-step explanation:

Range is all the set y values.

Answer:

See image

Step-by-step explanation:

The range is all of the y-values. Look at the points on the graph, and make a list of all the y's That will be the range.

Pls help I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
2 / 3 = 0.7 i think

!!SOMEBODY PLEASE HELP ME OUT!!

What is the slope of the line??​

Answers

Answer:

i think it's -1 / -1

nut i'm not sure so if its wrong then sorry , and don't thank's me...

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?

Answers

Answer:

Step-by-step explanation:

375

Step-by-step explanation:

the washer cost is 311 the dryer 375

A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?

Answers

The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet

The dimensions are given as:

[tex]Width = 6ft[/tex]

[tex]Depth = 10ft[/tex]

[tex]Height = 12ft[/tex]

The volume of the storage room is the product of the dimensions.

So, we have:

[tex]Volume= Width \times Depth \times Height[/tex]

Substitute values for Width, Depth and Height

[tex]Volume= 6ft \times 10ft \times 12ft[/tex]

Multiply the dimensions

[tex]Volume= 720ft^3[/tex]

Hence, the volume of the storage room is 720 cubic feet

Read more about volumes at:

https://brainly.in/question/2593668

What is 6.995 to a decimal, fraction, and percent?

Answers

Answer:

1399/200 699.5%

Step-by-step explanation:

1. 6.995 is already a decimal.

2. As a fraction it is [tex]\frac{1399}{200}[/tex] and as an improper fraction it would be 6  [tex]\frac{199}{200}[/tex].

3. As a percent it would be 669.5%.

what is the answer and steps to 18(2 − 1) ÷ 3 + 4

Answers

The answer is 10, by using pemdas you can just either add, subtract, multiply or divide.

10

Hi! When you see problems like this, always refer to PEMDAS!

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Also note that you go from left to right and parenthesis is always first!

18(2-1)÷3+4

Start with the parenthesis and subtract 2 from 1. That'll leave you with 1.

18(1)÷3+4

Next is multiplication since there are no exponents. Multiply 18 by 1. That'll leave you with 18.

18÷3+4

Now, divide 18 from 3. That'll leave you with 6.

6+4

Finally, you may add the final two. 6 plus 4 is 10.

With that being said, the correct answer is 10.

Write the missing volues to make these equivalent fractions correct.
2/3 = 4/ = /12



Answers

Answer:

2/3 = 4/6 = 8/12

Step-by-step explanation:

how to solve 1/2(x-6) = 1/2

Answers

Answer:

x=7

Step-by-step explanation:

1/2(x-6)=1/2

(1/2)(x)+(1/2)(−6)=1/2

1/2x+−3=1/2

1/2x−3=1/2

1/2x−3+3=1/2+3

1/2x=7/2

2*(1/2x)=2*(7/2)

x=7

tada!

a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?

Answers

Answer:

23.33333%

Step-by-step explanation:

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