,
20. In the figure, O is the centre of the concentric circles of radii 17 cm
and 10 cm respectively. Chord AD of the larger circle cuts the smaller
circle at B and C such that AB = 9 cm. Find
(a) the distance of AD from the centre,

you can solve the equestion by many rules , but in my point of view the easiest rule is subtraction/addition and subtition method .

Ans X=11.5

Y = -39

8x+2y=14 eqn.......1

82+2y=4 eqn .......2

2y= -78 (4-82)

y = - 39

putting value of y in eqn ..1

we get,

8x+ 2×(-39) =14

8x= 14+78

8x=92

x = 92÷8

x=11.5

it's a subtition method..

Answer: B

Step-by-step explanation:

4.5+6=10.5

2 1/2 - 5 1/2 = 2.5 - 5.5 = -3

10.5 - 3 = 7.5

Answer:

√73

Step-by-step explanation:

a^2+b^2=c^2

8^2+3^2=c^2

64+9=c^2

√73 =√c^2

√73 =c

baiiiiwiedujjjdjdhsb20

congrats? Im not sure what to say.

Answer:

28

Step-by-step explanation:

According to the question,

2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76

Let x represent cost of football and let y equal cost of helmet.

Write the system of equations,

[tex]x +2 y = 80[/tex]

[tex]2x + y = 76[/tex]

Eliminate the x variable by multiplying the top equation by -2

[tex] - 2x - 4y = - 160[/tex]

[tex]2x + y = 76[/tex]

Add both equations.

[tex] - 3y = - 84[/tex]

[tex]y = 28[/tex]

So one helmet cost $28

Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

Answer:

[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]

Answer:

x = 11 cm

Step-by-step explanation:

Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.

[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]

Corresponding sides are in proportion, so

[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]

The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so

[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]

"Cross multiply" to get

[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]

Step-by-step explanation:

The x's will simply cancel each other out and you will be left with a 6

hope it makes sense

:)

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

If I'm not wrong, it should be 27cm^3. Hope this helps!!

Answer:

3

Step-by-step explanation:

[tex]\sqrt[3]{27}[/tex]

Answer:

[tex]2 \div 3 \\ \frac{2}{3} [/tex]

Answer:

hope this helps you

god bless you

Step-by-step explanation:

1) 5a+4b-3a-7b+4a

Add terms having 'a' and 'b' separately

=6a-3b

Now subtitute values of a and b :

=6(-3)-3(4)

=-18-12

=-30

2)c(6-b)-c²

=6c-bc-c²

Subtitute values of b and c:

= 6(-2)-(5)(-2)-(-2)²

=-12+10-4

=-6

3)5x²-2xy+3y

Subtitute values of x and y:

=5(-5)²-2(-5)(-2)+3(-2)

=5(25)-20-6

=125-20-6

=99

4)-k²-(7k-4m)

Subtitute values of m and k:

=-(-2)²-{7(-2)-4(4)}

=-4-(-14-16)

=-4-(-30)

=-4+30

=26

5)3(6x+5y)-2y

Subtitute values of x and y:

=3{6(3)+5(-3)}-2(-2)

=3(18-15)+4

=3(3)+4

=9+4

=13

6)5(3m-n)-4(2m-n)

Subtitue values of m and n:

=5{5(-8)-(-11)}-4{2(-8)-(-11)}

=5(-40+11)-4(-16+11)

=5(-29)-4(-5)

=-145+20

=-125

Note:If you have any question about it you can friendly ask.Thanks

Answer:

12 workers are required to complete the work in 12 days

Answer:

$31,598.33

Step-by-step explanation:

she worked 4+5=9 days.

due the total average we need the total of sales and divide it by the length of the observation period (9 days).

how much did she sell in total on the first 4 days ?

well, the average times 4 = 32130×4 = $128520

how much did she sell in total during the following 5 days ?

31173×5 = $155865

so, the daily average is

($128520 + $155865) / 9 =$284385 / 9 = $31,598.33

Answer:

The first choice.

Step-by-step explanation:

It pass through the x axis at x = 3, so a factor must be (x - 3).

Answer:

The first option is correct :)

~Hope this helps

Step-by-step explanation:

by deleted user on here.

Answer:

B one solution

Step-by-step explanation:

Answer:

B - one solution

Step-by-step explanation:

6x+8−2x(7−2)=2(6+1)

Subtract 2 from 7 to get 5.

6x+8−2x×5=2(6+1)

Multiply 2 and 5 to get 10.

6x+8−10x=2(6+1)

Combine 6x and −10x to get −4x.

−4x+8=2(6+1)

Add 6 and 1 to get 7.

−4x+8=2×7

Multiply 2 and 7 to get 14.

−4x+8=14

Subtract 8 from both sides.

−4x=14−8

Subtract 8 from 14 to get 6.

−4x=6

Divide both sides by −4.

x=−46

Reduce the fraction −46 to lowest terms by extracting and canceling out 2.

x=−23

hope it helps :)

Answer:

x=5

Step-by-step explanation:

(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b

2*(x-2) = 1* (x+1), distribute multiplication over subtraction

2x -4 = x +1 , subtract x and add 4 to both sides

2x -x = 1 +4, combine like terms

x = 5

Answer: x = 5

Solve:

Given

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

Cross multiply applied

1 (x + 1) = 2 (x - 2)

Expand parentheses and apply the distributive property

x + 1 = 2x - 4

Add 4 on both sides

x + 1 + 4 = 2x - 4 + 4

x + 5 = 2x

Subtract x on both sides

x + 5 - x = 2x - x

x = 5

Check:

Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2

Right-hand side = 1/2

1/2 = 1/2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D.(CDL)

Step-by-step explanation:

Answer:

CDL

Step-by-step explanation:

C is 100

D is 500

500-100=400

L is 50

400+50=450

Answer:

Step-by-step explanation:

y = k x

Total cost = y

number of pounds = x

constant = 0.59

Equation

y = 0.59 x

Answer:

$5.35

Step-by-step explanation:

20-14.65=5.35

Answer:

The mixture for Brand A fruit is 5%.

Answer:

These are the missing numbers

Sec1

A. 12, 29/2, 17 (arithmetic)

C. 3/16, 3/32, 3/64 (geometric)

D. 17, 33, 65 (neither)

Sec2

A. 8, 48 (growth)

B. 16, 32 (growth)

C. 1, 2 (rate)

Step-by-step explanation:

Section 1

A. add by 2.5 or 5/2

C. multiply by 1/2

D. double the value-added

Section2

A & B. multiply by 2

C. add 1/2

9514 1404 393

Answer:

  ∠LJM and ∠MJN

Step-by-step explanation:

Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...

  ∠LJM and ∠MJN

Answer:

4÷ 1 1 /8 =  32 /9 =  3 5 /9

Step-by-step explanation:

x + 4 + 3x = 72 Let's agroup all the x

4x + 4 = 72 Subtract 4 on both sides

4x = 68 Divide both sides by 4

x = 17

x + 3 + x – 8 + x = 55 Let's agroup all the x

3x + 3 – 8 = 55 Solve 3 – 8

3x – 5 = 55 Add 5 on both sides

3x = 60 divide both sides by 3

x = 20