Ab= 14
Co=8
OD=3
Find ob

Ab= 14 Co=8 OD=3 Find Ob

Answers

Answer 1

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]


Related Questions

6/7 = x/11 round to nearest tenth

Answers

Answer:

66/7 or 9.429 or 9  [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

6/7=x/11

Multiply by 11 to get x alone

Multiply (6/7) by 11 to get 9.42857143=x

PLZZ HELP EMMMM!!!!
!!!!!!!!!!!!!!

Answers

[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points

5.6p-3=-9+2(p+7) in a five step equation.

Answers

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

6p-3=2p+5                              Combine like terms/ Simplify

   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

p=4                                            Division Property of Equality

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange​

Answers

10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.

_ please answer this question .

Answers

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

[tex]y - y _{1} = m(x - x _{1})[/tex]

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

Jesse played two days of golf. On the second day, he got a score of 6 below par, or

6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.










Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.

Answers

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

Help plzdlkkdkkdkdnnzkzkzkskskeme

Answers

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

What is the solution of 2x-5(x-4)=-8+5x-12.

Answers

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

express the following as decimal. 25/1000
20/50
3/50
2/3​

Answers

Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666

HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

got ub the naswers is 5x+y==6

Step-by-step explanation:

Use substitution
15x - 5(3x - 7) = 14
15x - 15x - 7 = 14
-7 = 14, cannot be

No solution

Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes

Answers

9514 1404 393

Answer:

132 pennies31 dimes

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation:

there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?

Answers

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

Translate the situations into equations and solve

The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.

THIS IS URGENT PLS HELP!

Answers

Let the three sides be: x, %28x%2B2%29, %28x%2B4%29
then the perimeter:
p+=+x+%2B+%28x%2B2%29+%2B+%28x%2B4%29
p+=+3x+%2B+6
- the longest side is it is 22 units shorter than the perimeter, so you will have
%283x%2B6%29+-+%28x%2B4%29+=+22
3x+%2B+6+-+x+-+4+=+22
2x+%2B+2+=+22
2x+=+22+-+2
2x+=+20
x+=+10, ........the shortest side
then
10+%2B+4+=+14 units is the longest side

2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]

Answers

Answer:

[tex]7\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]

First make these two fractions as improper fractions.

[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]

Now multiply the fractions

[tex]\frac{130}{15}[/tex]

You can divide both sides by 5 to simplify the fraction.

[tex]\frac{26}{3}[/tex]

Now make it as a mixed number.

[tex]7\frac{5}{3}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello there! (:

[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]

Follow these steps to multiply mixed numbers:

Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.

Now, how do we convert a mixed number into an improper fraction?

Here are the steps:

Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.

Step 1:

2*5=10

10+3=13

[tex]\frac{13}{5}[/tex]

Now, we do the same to the second fraction:

[tex]\frac{10}{3}[/tex]

[tex]\frac{13}{5} *\frac{10}{3}[/tex]

Step 2. Multiply the numerator times the numerator and the denominator times the denominator:

[tex]\frac{26}{3}[/tex]

Now, let's convert this fraction into a mixed number:

[tex]7\frac{5}{3}[/tex]

Hope it helps you!

If you have any queries, feel free to ask me! (:

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

Using the formula find the slope of a line with these two points (2,10) and (5,15).

Answers

Answer:

Step-by-step explanation:

[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5,  15 )

m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]

Can someone solve plzzz .

Answers

Answer:

you have to use multiplication maybe division and addition

Step-by-step explanation:

could you show me the step please and thank you

Answers

[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]

100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!

A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x

The objective function is P = 3x + 5y.

(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.

Answers

Answer:

1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...

Step-by-step explanation:

Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?

Answers

Answer:

72%

Step-by-step explanation:

36/50 = 0.72

0.72 x 100 = 72%

What is meant by permutations ?

Answers

Answer:

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.

Answer:

Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.

Step-by-step explanation:

How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.

Answers

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

Learn more here: https://brainly.com/question/25729845

PLEASE HELP!! PLEASE AND THANK YOU!

Answers

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
Mark this and return
Save and Exit
Next
Submit

Answers

0-12 and O-1 I think is the correct answer

The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m

Answers

Answer:

1 I think can you make sure?

A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container


Answers

Answer:

40

Step-by-step explanation:

[tex](8+0+-2²-7)²+7[/tex]

Answers

[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]

ok done. Thank to me :>

Solve the equation below 2(t+4)=7+5(t-4)

Answers

Answer:

t= 7

Step-by-step explanation:

2(t +4)= 7 +5(t -4)

Expand:

2t +2(4)= 7 +5t +5(-4)

2t +8= 7 +5t -20

2t +8= 5t -13

Bring constants to one side, t terms to the other:

5t -2t= 13 +8

Simplify:

3t= 21

Divide both sides by 3:

t= 21 ÷3

t= 7

(X-3)(X-1)

Expand and simplify

Answers

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?​

Answers

60

Step-by-step explanation:

Give all solutions in degrees.
2 sin 0 tan 0 - 13 tan 0 = 0

Answers

Answer:

The left side 0 is equal to the right side which means that the given statement is always true.

Step-by-step explanation:

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