A circle has the equation x² + y2 = 7
P is the point (-2,13) on the circle x² + y2 = 7
Work out the equation of the tangent to the circle at P.

Answer:

f(x) = x² -5x factor this function

x(x-5) = 0   ----> either x =0 , or x -5 =0 then x =5

the two values of x make f(x) =0 are 0 and 5

we can check by substituting these two values

at x = 0 ----> f(0) = 0² - 5 * 0 ---> f(x) =0

at x =5 ----> f(5)= 5² -5 * 5 ---> f(x) =0

Step-by-step explanation:

The product of prime polynomials  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is equivalent to  

[tex]\rm 3x^4-81x[/tex].

It is given that the polynomial  [tex]\rm 3x^4-81x[/tex].

The product of prime polynomials is equivalent to the above polynomial.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have:

[tex]\rm 3x^4-81x\\\rm 3x(x^3-27)\\\rm 3x(x^3-3^3)\\\rm 3x(x-3)(x^2+3x+3^2) \\\\ We \ know \ that \ a^3-b^3=(a-b)(a^2+ab+b^2)\\3x(x-3)(x^2+3x+9)\\[/tex]

Thus the option  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is correct.

Learn more about Polynomial here:

https://brainly.com/question/17822016

Answer:

4.76

Step-by-step explanation:

it just is

Answer:

A.15

Step-by-step explanation:

These two triangles are congruent triangles. This means that the side measurements can be found through a single multiplicative number.

All you have to do is divide 49 by 23 and get 2.130434783. You need that number to be specific

Next you want to multiply that number by the side length that corresponds to the length you are trying to find. In this case that is 7.  

7 x 2.130434783=14.9

14.9 rounds to 15

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

Answer:

7-3=

10

Step-by-step explanation:

The positive sign is replaced by the negative sign.

+ve × -ve = -ve

Hey there!

4a + 3b + 2a

=> 4a + 3b + 2a

=> 4a + 2a - 3b

=> 6a - 3b

Therefore, 4a + 3b + 2a = 6a - 3b

[tex] \\\ \\ \\{x}^{2} + 2y + 8 {x}^{2} [/tex]

[tex]-› \:{x}^{2} + 8 {x}^{2} - 2y[/tex]

[tex]-› \: 9 {x}^{2} - 2y[/tex]

Therefore, [tex] {x}^{2} + 2y + 8 {x}^{2} [/tex] = [tex]\: 9 {x}^{2} - 2y[/tex]

Step-by-step explanation:

Substitute the value of y into the equation;

[tex]8x-2(4)=48[/tex]

Find the value of x.

Multiply;

[tex]8x-8=48[/tex]

Add 8 to each side;

[tex]8x=56[/tex]

Divide each side by 8;

[tex]x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

Given:

Step-1: Substitute the y-variable in the equation (8x – 2y = 48)

Step-2: Simplify the L.H.S

Step-3: Add 8 both sides

Step-4: Divide 8 both sides

[tex]\begin{array}{ccll} paint&flowers\\ \cline{1-2} \frac{2}{9} & 1\\ x& 3 \end{array} \implies \cfrac{~~ \frac{2}{9}~~}{x}=\cfrac{1}{3}\implies \cfrac{2}{9x}=\cfrac{1}{3} \\\\\\ 6=9x\implies \cfrac{6}{9}=x\implies \cfrac{2}{3}=x[/tex]

Answer:

a. 300 minutes.

b. $53

explanation:

make equations from given information.

equation 1 from plan A :

20 + 0.11(n)

equation 2 from plan B :

14 + 0.13(n)

Solve them simultaneously,

14 + 0.13(n) = 20 + 0.11(n)

0.13(n) - 0.11(n) = 20 - 14

0.02(n) = 6

n = 300

insert n = 300 in any of the equation, to find cost.

14 + 0.13(n)

14 + 0.13(300)

$53

Answer:

I'd have to go with C.

Step-by-step explanation:

8.8 x 103=

906.4

And if you have to times it by 4, than its most likely 220

220 x 4=

880

Answer:

(x + y)(x + 8)

Step-by-step explanation:

Answer:

(x + y) (x + 8)

Step-by-step explanation:

[tex]x^2+xy+8x+8y[/tex]

[tex]=\left(x^2+xy\right)+\left(8x+8y\right)[/tex]

[tex]\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)[/tex]

[tex]\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)[/tex]

[tex]=x\left(x+y\right)+8\left(x+y\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+y[/tex]

[tex]=\left(x+y\right)\left(x+8\right)[/tex]

Answer = [tex]\left(x+y\right)\left(x+8\right)[/tex]

~Learn with Lenvy~

Answer:

27: 4 m

28: 60,000 cm

29: 8 m

30: 12 m

31: 90,000

32: 56 m

33: 650,000

34: 45 m

35: 230,000

36: 24

Have a great day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

27. 4m²

28. 60 000cm²

29. 8m²

30. 12m²

31. 90 000cm²

32. 5.6m²

33. 650 000cm²

34. 45m²

35. 230 000cm²

36. 24m²

hope dis helps!!!!!

Answer:

Step-by-step explanation:

The vertex coordinates of  f(x) = ax² + bx + c  is  (h, k)

where:   [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]

f(x) = - x² - 6x + 1       ⇒  a = -1   b = -6

So:

     [tex]h=\dfrac{-(-6)}{2(-1)}=\dfrac6{-2}=-3\\\\y=f(h)=-(-3)^2-6(-3)+1=-9+18+1=10[/tex]

Answer:

the fraction of the class that are boys is B/30, or b=30-g.

Both these answers work

Step-by-step explanation:

Answer:

She ran 2 miles each day

Step-by-step explanation:

Answer:

1440°

Step-by-step explanation:

Each exterior angle of a 10 sided regular polygon =360/10=36°  

Each interior angle = 180°-36° =144°.  

Sum of all interior angles = 144°×10. = 1440°.

Step-by-step explanation:

A matrix of order 3×1 means it has 3 rows and one column.

[tex] \huge \red{ \begin{pmatrix} a \\\\b \\\\c \end{pmatrix} }[/tex]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

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

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches

Answer:

Step-by-step explanation:

So the total # of socks is 25 + 15+ 20, which equals 60.

theres ONLY 20 socks that are colorful, meaning that 20/60 are coloful.

20/60 simplified is 2/6, simply that even further its 1/3, 1/3 is a ration within itself. itll be 1:3

Answer:

1:3 (20:60)

Step-by-step explanation:

So the ratio of colorful socks to total socks is 20:60

This is how:

First write the number of colorful socks which is 20.

From the calculate the total number of socks( 20 + 25 + 15 = 60) which is 60.

Then put a colon and write 60

You need to write the number of colorful socks because that is what was mentioned first then the total number of socks because it was mentioned after the number of colorful socks.

So you can reduce 20:60 to its lowest term.

You write 20: 60 as a fraction [tex]\frac{20}{60}[/tex]

Then reduce [tex]\frac{20}{60}[/tex] to its lowest term which is [tex]\frac{1}{3}[/tex].

Then write [tex]\frac{1}{3}[/tex] as a ratio which is 1:3

HOPE THIS HELPED

Answer: 0.8

Step-by-step explanation:

Answer: Left 2

Step-by-step explanation:

Move 2 units back which is left

Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

Answer:

look beloww

Step-by-step explanation:

could you please explain furture in a diffrent question so i can help?

Solution:

1. Since the numbers must be divisible by 2 even numbers, all odd numbers are ruled out because odd numbers are not divisible with even numbers.

In this case, the numbers that are possible are:

2. Since the numbers must be divisible by 5, it rules out a few more numbers.

In this case, the remaining numbers are:

We can clearly tell that the only number that is divisible by 8, 5, and 4 is 80.

Thus, 80 is the number.

Answer:

8) 25.12

9) 15.07

10) 48.98

11) 1962.5

12) 20

13) r = 8.5

14) diameter: 72 radius: 36

Answer:

B)

Step-by-step explanation:

The rectangle is being translated.  It is moving up 3, so positive 3, and to the left 6, so -6.