Factorise fully 21a-7a²

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

21/(1.5 million) = 0.0014%

Answer:

-60p -6

Step-by-step explanation:

8(1 - 6p) - 2(6p + 7)

Distribute

8 - 48p  -12p -14

Combine like terms

-60p -6

Answer:

4) r = 10 yd

   d = 20 yd

5) r = 7 in

   d = 14 in

6) r = 15 ft

   d = 30 ft

7) r = 23 in

   d = 46 in

8) r = 16 yd

   d = 8 yd

9) r = 21 ft

   d = 42 ft

Step-by-step explanation:

Diameter = 2 x radius

*diameter (d)*

*radius (r)*

Answer:

[tex]y < 3x+4[/tex]

short explanation:

1) the common view of slope-interception form is:

y < slope*x+intercept or y>slope*x+intercept. Then

2) according the form above:

3x-y>-4;

y<3x+4.

Answer:

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

Step-by-step explanation:

Sophie road 5 mph for 20 miles

distance = rate of speed times time traveled

d = st

20 =5t

t = 20/5 = 4 hours

Rana road r mph for 20 mile

d=rt

20=rt

t =20/r

Sophie waited  20/r - 4  hours

20/r -4 =  (20-4r)/r

if Rana road at   4 mph,  Sophie waited (20-4(4))/r =  4/4 = 1 hour

If Rana road at  3 mph,  Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes

if Rama road at 2 mph  Sophie waited (20-4(2))/2 = 12/2 = 6 hours

if Rama road  1 mph  Sophie waited  (20-4) = 16 hours

Answer:

The answer is 37.

Step-by-step explanation:

First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.

Answer:

Step-by-step explanation:

A.)

➝ -3d + 7 = -9

➝ -3d = -7 - 9

➝ -3d = -16

➝ d = -16/-3

➝ d = 16/3

B.)

➝ 8d + 7 = -4(-2d - 4)

➝ 8d + 7 = 8d + 16

➝ 8d - 8d = 16 - 7

➝ 0 = 9

C.)

➝ 5d + 15 = 15

➝ 5d = 15 - 15

➝ 5d = 0

➝ d = 5/0

➝ d = 0

D.)

➝ 2(d + 6) = -2d - 12

➝ 2d + 12 = -2d -12

➝ 2d + 2d = -12 -12

➝ 4d = 24

➝ d = 24/4

➝ d = 6

Hence,

Answer:

Area = 84 sq meters

Step-by-step explanation:

Area of a parallelogram is:

A = b•h

A = 12•7

A = 84 square meters

Answer:

100

Step-by-step explanation:

10 · 10 = 100

Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.

So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.

Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)

Answer:

Step-by-step explanation: first  change 2 1/4 to a improper fraction

you are going to have 9/4 next add 9/4 plus 3/4 which will be equal to12/4 which is the same as 3

Answer:

389.7 square inches

Step-by-step explanation:

equilateral triangle = each side has the same lenght

90 inches / 3 = 30 inches each side

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

Pythagoras

30^2 = 15^2 + x^2

900 - 225 = x^2

v 675 = x

25.98 = x

x = height

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

Area = BxH/2

B = 30 inches

H = 25.98

(30 x 25.98) /2 = 389.7 square inches

Answer:

390 in²

Step-by-step explanation:

Length of the sides of the triangle = 90/3 = 30 in

area of a triangle = (base × height)/2

height of an equilateral triangle with sides of length x  [tex]=\frac{\sqrt{3} }{2}x[/tex]

Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]

Conclusion:

area of the triangle = (30 × 26)/2 = 390 in²

Answer:

False

Step-by-step explanation:

basically it's asking you whether or not you can live on earth. you can't live at the other planets because they're either too far or too close to the sun.

Answer:

  18.  $5890

  19.  Mitsubishi Mirage

Step-by-step explanation:

The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...

  y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate

__

The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...

  y = $15000·0.875^7 ≈ $5890.44

When you turn 25, the car will be worth about $5890.

__

We found three cars with a price under $15,000:

Of these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.

(Your curriculum may offer different choices. We cannot tell.)

Perhaps you got a Mitsubishi Mirage.

Answer:

The axis of symmetry is x=2

Step-by-step explanation:

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

11x + 9

Subtract from the perimeter

16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

16x + 4 + (-11x -9)

Now combine like terms

5x - 5

Answer

0

Step-by-step explanation:

Because 110+50+10= 170 and every triangle has 180º

Multiplication of a positive number and negative number

   ⇒ is like any other multiplication

      30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600

Hope that helped!

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

Answer:

[tex]f(x)=\dfrac{1}{x+4}[/tex]

Step-by-step explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.

Therefore, the function is undefined at [tex]x=-4[/tex]

For a rational function to be undefined, the denominator must equal zero at that point.  Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].

Therefore, option D is the correct solution, since:

[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Answer:

False

Step-by-step explanation:

I'm assuming its because x isn't negative infinity because the leading coefficient is positive

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

Read more about percentiles at:

https://brainly.com/question/2884595

Answer:

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

__

  [tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

_____

Additional comment

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

Answer:

A= 314.159 m2

Step-by-step explanation:

Simple Give Brainliest Please

Answer: D

Step-by-step explanation: im pretty sure its d because 21 is the right awnser let me know if im wrong hope it helps

Answer: hii

hopefully this helps you!

Step-by-step explanation:

Simplify the expression.

- Matthew <3

Answer:

Step-by-step explanation:

Step-by-step explanation:

#1 1.6

#2 1:2

#3 $160.00

#4 1,800

#5 $360

#6 2

#7 250

I hope I helped you

I'm sorry for late