O is the centre of the circle and ABC and EDC are tangents to the circle

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

Answer:

  7200 cm^2

Step-by-step explanation:

The kitchen dimension on the drawing of 14 cm corresponds to an actual kitchen dimension of 40·14 = 560 cm.

The kitchen dimension on the drawing of 22 cm corresponds to an actual kitchen dimension of 40·22 = 880 cm.

The actual kitchen area is ...

  Area = length · width = (880 cm)(560 cm) = 492,800 cm^2.

__

The difference between this area and the bedroom area is ...

  500,000 cm^2 -492,800 cm^2 = 7200 cm^2

The kitchen is 7200 cm^2 smaller than the bedroom.

Answer:

D

Step-by-step explanation:

convert miles to feet :

1 mile     5280 foot

2820*5280=14889600 ft

14889600/2=7444800 close to 7500000

D

The answer is actually 9 ;)

Answer:

y = 9

Step-by-step explanation:

-2(20) + 4y = -4

-40 + 4y = -4

4y = -4 + 40

4y = -4 + 40

4y = 36

4/4 = y

36/4 = 9

y = 9

Hope this helped! :)

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 1 → (1)

3x - y = - 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(- 1) + y = 1

- 2 + y = 1 ( add 2 to both sides )

y = 3

Solution is (- 1, 3 )

Answer: (-1,-3) or A on the quiz

Got it right

Have a nice day

c. because when you di the math it adds up

Answer:

Step-by-step explanation:

Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.

We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).

Answer:

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

Answer: £ 8

Step-by-step explanation:

Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]

Since her total earnings for week = £ 320

So,

[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]

Thus, her normal rate of pay per hour = £ 8

Answer:

P(X/Y) = 0.4545

Step-by-step explanation:

Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.

The probability that the transferred ball was black given that the second ball drawn was black is equal to:

P(X/Y) = P(X∩Y)/P(Y)

Where P(Y) = P(X∩Y) + P(X'∩Y)

Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:

P(X∩Y) = (5/12)*(7/11) = 0.2651

Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.

At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:

P(X'∩Y) = (7/12)*(6/11) = 0.3181

Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.

So, P(Y)  and P(X/Y) are equal to:

P(Y) = 0.2651 + 0.3181

P(Y) = 0.5832

P(X/Y) = 0.2651/0.5832

P(X/Y) = 0.4545

A fraction is a way to describe a part of a whole. The fraction that is closest to 5/8 is 13/20.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Know the fraction that will be close to 5/8 can be found by taking the LCM of denominators. Therefore, the LCM of 8, 3, 20, and 16 is 240.

Thus, the fractions can be rewritten as,

5/8 = (5/8) × (30/30) = 150/240

2/3 = (2/3) × (80/80) = 160/240

13/20 = (13/20) × (12/12) = 156/240

11/16​ = (11/16) × (15/15) = 165/240

Now as it can be seen that 156/240 is closest to 150/240, therefore, the fraction that is closest to 5/8 is 13/20.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

Answer:

The table in the top right

Step-by-step explanation:

That table represents the equation y=-2x-1. It is the only table that represents a linear equation.

To be a linear equation it has to consistently add the same amount up and right OR down and right (depending on if it's a positive or negative equation)

I have included a picture of the graph with the equation and all points on it (click/tap on it to see the full picture.)

If this helped please rate, thanks, and mark brainliest :)

The table which represents a linear function is one on the top-right corner.

A linear function is a mathematical relation which is characterized by a constant slope otherwise known as the rate of change of the function.

Upon evaluation of the slope of each table; only the top-right corner table has a constant slope.

Ultimately, a linear function is characterized by a constant slope as observed in the top-right corner table in discuss.

Read more on linear function;

https://brainly.com/question/15602982

Answer:

D.

Step-by-step explanation:

x ={-1, 0, 2, 4, 7}

We see every x value only one time, so given pairs (x,y) is a function.

Answer is D.

Answer:

Step-by-step explanation:

The function is f(x) = -4x²+10x-8

Let Δ be our the dicriminant

The value of the discriminant is -28 and since it is negative this function has no real zeroes

Answer:

-28 for the first box and 0 for the second box.

Step-by-step explanation:

Answer: [tex](x+2)(x+8)[/tex]

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

[tex](x+2)(x+8)[/tex]

If you want the roots, just do the negation of r and q and you will get it!

Step-by-step explanation:

Type A cost 4.05 dollars per pound

Type B cost 5.55 dollars per pound

now...since type A is four times larger than Type B for that month,.the ratio will be 4:1 respectively

total cost was 735 dollars out of which Type A has

4/5 × 735 = 588 dollars while Type B has 1/5 × 735 = 147 dollars

so therefore ....number of pounds of A = 588/4.05=145.18pounds

and number of Pounds of B = 147/5.55= 26.48pounds

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Answer: CAN YOU PLS MARK AS BRAINLIEST??

a.x=11/4

b.x=6

c.x=21/2

d.x=0

Step-by-step explanation:

-2+3x+x=9-x

-2+3x+x=9

4x=9+2

4x=11

x=11/4

when you move a numerator to the other side it becomes a denominator

x+2=3/4x6

x+2=3/24

x=8-2

x=6

5-2x-12=14

2x=14-5+12

2x=21

x=21/2

1/2x=-3-1/2x+4-1

1/2x+1/2x=-3+4-1

x=0

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Isolate everything to 1 side

8x² - 2x - 3 = 0

Step 2: Factor

(4x - 3)(2x + 1) = 0

Step 3: Find roots

4x - 3 = 0

4x = 3

x = 3/4

2x + 1 = 0

2x = -1

x = -1/2

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer:

-2

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (-5 - -7)/ ( -2 - -1)

    = ( -5+7) / ( -2 +1)

    = 2/-1

   = -2

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = [tex]\frac{2}{-1}[/tex] → -2

▹ Step-by-Step Explanation

(-1, -7) (-2, -5)

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

-5 - (-7) = -5 + 7 → 2

-2 - (-1) = -2 + 1 → -1

Slope = [tex]\frac{rise}{run}[/tex] → [tex]\frac{2}{-1}[/tex] → -2

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Hope it helps

sorry fir bad camera view.....

Answer:

B. 0

Step-by-step explanation:

The slope of a straight horizontal line is always equal to 0.

To support the above statement, we can show working out:

m = slope of the line

m = ( y1 - y2 ) / ( x1 - x2 )

Two points on line = ( 0 , - 2 ) , ( 1 , - 2 )

y1 = - 2

y2 = - 2

x1 = 0

x2 = 1

m = [ ( - 2 ) - ( - 2 ) ] / [ ( 0 ) - ( 1 ) ]

m = ( - 2 + 2 ) / ( 0 - 1 )

m = 0 / - 1

m = 0

The y values on a horizontal line will always be the same. When calculating the subtraction of y values in the numerator of the formula for the slope of a line, a number subtracted by itself will always equal to 0. 0 divided by any number will always equal to 0. Hence, the slope of a straight horizontal line will always equal to 0.

Answer:

$296,954.42

Step-by-step explanation:

If any amount P is invested at rate of r% per year for n years then value of money p after n years is given by

FV = p(1 + r/100)^n

where FV is the future value of money after n years.

given

p= $19300

r = 9%

n = 5 years

Thus, FV = 193000(1 + 9/100)^5

FV =  193000((100 + 9)/100)^5

FV =  193000(109/100)^5

FV =  $296,954.42

Thus, value after 5 years for the investment is $296,954.42 to the nearest cent

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

Answer:

[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]

Step-by-step explanation:

[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]

[tex]\sf Remove \ brackets.[/tex]

[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]6n^4- 10n^2 + 10n[/tex]

Answer:

52

Step-by-step explanation:

Number of Students in Key Stage 3 =380

Number of Students in Key Stage 4 =240

Number of Students in Key Stage 5 =110

Total = 380+240+110=730

Since a sample of 100 students stratified by key stage is needed.

The number of students that would be taken from Key Stage 3

[tex]=\dfrac{380}{730}\times 100\\\\=52.1\\\approx 52 $ (to the nearest whole number)[/tex]

Answer:(x-5)/8

Step-by-step explanation:

f(x)=8x+5

   let f(x)-1=y

y=8x+5

interchanging x and y

x=8y+5

y=(x-5)/8

Therfore f(x)-1=(x-5)/8

Answer:

x-5/8

Step-by-step explanation:

Answer:

D. 36 miles

hope this helps :)