A is (1, –2) and B is (3, 6).
a. Find the length of AB.
b. Find the mid-point of AB.
c. Find the equation of the perpendicular
bisector of AB.

Answers

Answer 1

Answer:

I know mid point is (2,2)

Step-by-step explanation:

A Is (1, 2) And B Is (3, 6).a. Find The Length Of AB.b. Find The Mid-point Of AB.c. Find The Equation

Related Questions

how many are 5 raised to 3 ???​

Answers

Answer:

[tex]\boxed{125}[/tex]

Step-by-step explanation:

Hey there!

Well 5 raised to the 3 can be written as,

[tex]5^3[/tex]

This is 5*5*5

= 125

Hope this helps :)

Dimitri and Jillian were trying to solve the equation:(x+1)(x+3)=12(x+1)(x+3)=12(x+1)(x+3)=12left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 12Dimitri said, "The left-hand side is factored, so I'll use the zero product property."Jillian said, "I'll multiply (x+1)(x+3)(x+1)(x+3)(x+1)(x+3)left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis and rewrite the equation as x2+4x+3=12x^2+4x+3=12x2+4x+3=12x, squared, plus, 4, x, plus, 3, equals, 12. Then I'll solve using the quadratic formula with a=1a=1a=1a, equals, 1, b=4b=4b=4b, equals, 4, and c=3c=3c=3c, equals, 3.Whose solution strategy would work?Choose 1 answer:Choose 1 answer:(Choice A)AOnly Dimitri's(Choice B)BOnly Jillian's(Choice C)CBoth(Choice D)DNeither

Answers

Answer:

D. Neither

Step-by-step explanation:

The equation that Dimitri and Jillian were trying to solve is expressed as

(x+1)(x+3) = 12. They are both solving this equation to get the value of x.

Based on the their suggestion, Jillian strategy would have been the best and the only one that will work for us in solving the equation but he didn't take cognizance of 12 when using the formula in his second step hence None of them are correct. The following steps should have been taken;

Step 1: Multiply out the expression (x+1)(x+3)

= (x+1)(x+3)

= x(x)+ 3x+x+1(3)

= x² + 3x + x + 3

= x² + 4x + 3

He got x² + 4x + 3 on expansion

Step 2: He should have rewrote the equation as shown;

x² + 4x + 3 = 12

x² + 4x + 3 -12 = 0

x² + 4x -9 = 0

Step 3: He used the quadratic formula to factorize the expression x² + 4x + 3 where a = 1, b = 4 anad c = -9

x = (-b±√b²-4ac)/2a

x = (-4±√(4)²-4(1)(-9))/2(1)

x = -4±√16+36/2

x = (-4±2√13)/2

x = (-4+2√13)/2 or  (-4-2√13)/2

x = -2+√13 or -2-√13

Hence Neither of them is correct. Jillian is almost correct but he should have equated the equation to zero by taking 12 into consideration before factorizing.

Carolyn was training for cross-country season on an indoor track. During her workout, she ran 24 laps around a track that measured 110 meters. What was the total distance Carolyn ran in kilometers?

Answers

Answer:

2.64 km

Step-by-step explanation:

24*110=2640 meters

2640/1000=2.64 km

a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit

Answers

Answer:

16% of MP

Step-by-step explanation:

Key concepts to learn :

Discount is always applied on marked price.

Profit = SP - CP

VAT is applied on Selling Price

SP = 10170/113 x 100 = 9000

If profit is 20% then :

CP = 9000/120 x 100 = 7500

MP = 9000/90 x 100 = 10000

For 12% profit, SP = 7500 x 112/100 = 8400

=> SP = 8400/10000 x 100 = 84% of MP

=> Discount = 16% of MP

(y 2 - 3)(y 4 - 6y 2 + 9)

Find the product.

Answers

Answer: See below

Explanation:

(y^2 - 3)(y^4 - 6y^2 + 9)
= y^6 - 6y^4 + 9y^2 - 3y^4 + 18y^2 - 27
= y^6 - 9y^4 + 27y^2 - 27

Answer:

y^6 - 9y^4 + 27y² - 27

Step-by-step explanation:

(y² - 3) (y^4 - 6y² + 9)

y^6 - 6y^4 + 9y² - 3y^4 + 18y² - 27

y^6 - 9y^4 + 27y² - 27

there are 3468 apples in a basket how many children can share them equally

Answers

Answer:

3468 children.

Step-by-step explanation:

One apple per person.

6y−3=57 what does y equal

Answers

Answer:

y = 10

Step-by-step explanation:

6y−3=57

6y = 60

y = 10


A triangular tent has a perimeter of 29 meters. Side a is 3 meters shorter than twice side b and side c is 4 meters longer than side b, Find the length of side b.


A) 11 meters
B) 14 meters
C) 9 meters
D) 7 meters

Answers

Answer:

D) 7 meters

Step-by-step explanation:

So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.

Answer:

Side b=7 meters

Step-by-step explanation:

Given:

Perimeter of triangle=29m

Side a=2b-3

Side b=b

Side c=4+b

To find:

Side b

Solution:

P of triangle=a+b+c

29=2b-3+b+4+b

29=2b+b+b+4-3

29=4b+1

29-1=4b

b=28/4

b=7m

I hope my answer is right.

Consider the equation:
x ^2 −4x+4=2x
1) Rewrite the equation by completing the square.
Your equation should look like (x+a)^2=b or (x-c)^2 =d

Answers

Answer:

(x-3)^2 = 5

x = 3 ±sqrt(5)

Step-by-step explanation:

x ^2 −4x+4=2x

Subtract 2x from each side

x ^2 −4x-2x+4=2x-2x

x^2 -6x +4 = 0

Subtract 4 from each side

x^2 -6x+4-4 =0-4

x^2 -6x = -4

Take -6

Divide by 2

-6/2 = -3

Square it

(-3)^2 = 9

Add to each side

x^2 -6x+9 = -4+9

(x-3)^2 = 5

Take the square root

sqrt((x-3)^2) = ±sqrt(5)

x-3 =  ±sqrt(5)

Add 3 to each side

x = 3 ±sqrt(5)

Answer:

lusing completing square metjod

x

Step-by-step explanation:

x^2_6x+(_3)^2=_4+9

(x_3)^2=5

x_3=

[tex] \sqrt{5} [/tex]

[tex]x = 3 + or - \sqrt{5} [/tex]

Are the ratios 1:2 and 13:18 equivalent?

Answers

Answer:

No.

Step-by-step explanation:

If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.

Therefore, these two ratios are not equivalent.

Answer:

123456789101112131415161718192021222324252627282930

Look at this cone:

,,

Answers

Slant height=l=3ftRadius=r=2ft

We know

[tex]\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=2

\dfrac{22}{7}\times 2(2+3)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2[/tex]

Now

New slant height =2(3)=6cmNew radius=2(2)=4cm

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2[/tex]

So

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}[/tex]

i need to know the area

Answers

Answer:

I got option 1.

Step-by-step explanation:

See pictures

help please, got a little lost in everything

Answers

Answer:

375 mm cubed

Step-by-step explanation:

The volume would stay the same because the same number of the same pennies are being used.

If the question was asking for the surface area, then the answer would be different.

Hope that helped!!! k

Answer: 375 mm cubed

If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent​

Answers

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error?

Answers

Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

[tex]\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94[/tex]

Hope this helped!

what is (a x b) x c if a = 2, b = 8, and c = 12?​ PLEASE HELP!!

Answers

Answer:

192

Step-by-step explanation:

(a x b) x c

Let a=2  b=8  c=12

(2 * 8) * 12

16 * 12

192

Answer:

192

Step-by-step explanation:

[tex]a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192[/tex]

What is the volume of the sphere below?

Answers

500/3 π units

Step-by-step explanation

first state the formula wic is 4/3πr^3 then after u multiply 4 times the radius wic is

4×5^3

=500/3π units

The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are

Answers

Answer: x = a - b and x = -a - b

Explanation:

x^2/ a^2 - b^2 = a+b/a-b
x^2/(a-b)(a+b) = a+b/a-b
x^2 = a+b/a-b x (a-b)(a+b)
x ^2 = (a+b)^2
x^2 - (a+b)^2 = 0
(x - a + b)(x + a + b) = 0

Set x - a + b = 0
x = a - b

Set x + a + b = 0
x = - a - b

Hope this helps!

after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount​

Answers

Answer:

Marked price= RS 1600

Discount= RS 80

Step-by-step explanation:

Let

x= the marked price

Discount= 5%

Discount = 5% of x

=0.05x

Cost after discount = x-0.05x

= 0.95x

Vat=10%

=0.1

Cost of the radio including vat=0.95x + 0.1(0.95x)

=0.95x + 0.095x

=1.045x

Price became rs 1672

Therefore,

1.045x=1672

Divide both sides by 1.045

x= RS 1600

Discount=5% of 1600

=0.05 * 1600

=rs 80

Pls answer all questions

Answers

5:-c

The 3multiples are 25,50,75

6:-c

[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]

[tex]\\ \sf\longmapsto 6(11-5)[/tex]

[tex]\\ \sf\longmapsto 6(6)[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

7:-a

12,17

8:-c

22=2×1188=2×2×2×11

HCF=2×2×11=44

9:-c

LCM of 9 and 5 is 45 hence its true

10:-c

HCF of two consecutive numbers is 1

In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?

Answers

Answer:

120

Step-by-step explanation:

Got it right on the assigment

Answer:

c. 120

Step-by-step explanation:

04 Name the
Name the property
1(-15) X (-56)
1) (-72) X 26 26 X4-72)
m) 3% (-40) X 32 X 11-463) X32
(-15) X 105 (-15) X (100$;]-1-15) %100 f15XSI

Answers

Answer:

integers integers OK ok ok ok ok ok ok

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: Choice A) 148 degrees

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

Explanation:

Let point A be the center of the circle.

Arc DCF is 316 degrees. Arc FG is 20 degrees. Subtracting the arc measures gives 316-20 = 296 which is the measure of arc DCG, and by extension, it is the measure of reflex angle DAG. The acute angle DAG is 360-296 = 64 degrees

Triangle DAG is isosceles with AD = AG, so the base angles are ADG and AGD. Let's call each of these angles x for now. The sum of the three angles add to 180

x+x+64 = 180

2x+64 = 180

2x = 180-64

2x = 116

x = 116/2

x = 58

Therefore angle ADG is 58 degrees. It adds to angle ADB = 90 to get 90+58 = 148, which is the measure of angle BDG.

Note: angle ADB is 90 because tangent BD forms a right angle with the radius AD.

Another note: angle ADG is half that of the arc it cuts off, so in a sense it's similar to an inscribed angle

Don’t know. Someone help a person!Ty

Answers

Answer:

3rd option

Step-by-step explanation:

8x³ - 27y³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

8x³ - 27y³

= (2x)³ - (3y)³

= (2x - 3y)((2x)² + 2x(3y) + (3y)²) , that is

= (2x - 3y)(4x² + 6xy + 9y²)

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of the rectangle is decreased by 1/3
a) form a quadratic equation ​

Answers

Answer:

Let the breadth is x, then the length is 3x.

The area is:

A = lw = 3x*x = 3x²

The breadth is decreased by 2 m:

w = x - 2

The length is increased by 4m:

l = 3x + 4

The area is now:

(x - 2)(3x + 4) = 3x² - 1/3(3x²)3x² +  4x - 6x - 8 = 2x²x² - 2x - 8 = 0x² - 2x + 1 = 9(x - 1)² = 3²x - 1 = 3x = 4

The breadth was 4 m and the length  12 m

can someone pls help me on number 4

Answers

Answer:

Step-by-step explanation:

Do this by converting the numbers to decimals

9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.

9.770833 feet is the length of the given board.

11.25 inches = 11.25 / 12 = 0.9375 feet

So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.

Therefore there is 10.42222187 board cut up. The decimal is the remainder.

0.42222187 * 12 = 5.066 inches or rounded to 5 inches.

PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center

Answers

Answer:

Answer: D : Median, because there is 1 outlier that affects the center

Step-by-step explanation:

Mean and median terms are use to measure the central tendency in a data set.

Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.

In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.

Two Fair six-sided dice are rolled and the face values are added. What is the probability of obtaining an even number less than 7?

Answers

Answer:

The probability is 1/4

Step-by-step explanation:

In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.

Now, mathematically the probability will be;

number of even numbers less than 7/total number of outcomes

Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.

Please check attachment for this.

Now from the constructed table, we can find the number of even numbers less than 7.

By counting, we can see that the we have 9 even numbers which are less than 7

Thus, the probability of selecting an even number which is less than 7 is;

9/36 = 1/4

225125 in base 6 divided by 101 in base 6

Answers

225125₆/101₆ = 2225₆

One way to arrive at this is to convert both given numbers to base 10, compute the quotient in base 10, then convert back to base 6.

101₆ = 1×6² + 0×6¹ + 1×6⁰ = 37

225125₆ = 2×6⁵ + 2×6⁴ + 5×6³ + 1×6² + 2×6¹ + 5×6⁰ = 19,277

So we have

225125₆/101₆ = 19,277/37 = 521

Next,

521 = 2×216 + 89 = 2×6³ + 89

89 = 2×36 + 17 = 2×6² + 17

17 = 2×12 + 5 = 2×6¹ + 5×6⁰

and so

521 = 2×6³ + 2×6² + 2×6¹ + 5×6⁰ = 2225₆

Or you can use the long division algorithm. Division in base 6 is the same as in base 10, except numerals range from 0 to 5 instead of 0 to 9. See if you can follow this diagram (replaced with an attachment)

Please help me. if I don’t complete my course I’m getting sent back to my parents house, and I need to complete this course
This is similar polygons, and the lessons I get don’t help

Answers

For the first question, yes, they are similar. Each of the corresponding sides has a ratio of 4:1 from the first polygon to the second, meaning they are similar. For the second question, the ratio is 1.6:1, and if we multiply the 10 on the bottom polygon by 1.6, we get 16, which is the answer.

For real though, I’m hoping you don’t get sent back there. I’m assuming you dislike it there, so good luck with your course. I’m here to help if you need it.
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