construct a tangent to the circle that passes through point b

Answer:

Can i have a diagram please

Step-by-step explanation:

Answer:

The equation of the line is

y = 2x + 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the gradient

c is the y intercept

From the question m is 2

Equation of the line using point (1,4) is

y - 4 = 2( x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Hope this helps you

Answer:

x -1

Step-by-step explanation:

-(-x + 1)

Distribute the minus sign

- 1 * -x  + -1 (-x)

x -1

Steps to solve:

-(-x + 1)

~Distribute the negative sign

(- * -x) + (- * 1)

~Simplify

x - 1

Best of Luck!

Step-by-step explanation:

sum=2/3 and product=-4

x^2-(sum)x+(product)

x^2-2/3x+(-4)

x^2-2/3x-4

1/3(3x^2-2x-12)

the polynomial is 3x^2-2x-12

Answer:

I hope it is correct ✌️

Answer:

Step-by-step explanation:

We only have the sides of the triangles. Therefore, we can decide if the triangles are similar only by SSS.

If triangles are similar, then corresponding sides make proportion.

We have (let's set the sides in ascending order):

triangle 1: 30, 42 and 51

triangle 2: 10, 14 and 17.

Check:

30 : 10 =3

42 : 14 = 3

51 : 17 = 3

correct

Answer:

SSS

Step-by-step explanation:

[tex] \frac{51}{17} = 3 \\ \frac{30}{10} = 3 \\ \frac{42}{14} = 3 \\ hope \: this \: helps. \: good \: luck[/tex]

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

Answer:

1/18

Step-by-step explanation:

First list all the 2 answers that may add up to 11:

5 and 6

6 and 5

There are no more.

Next how many possible outcomes can se get?:

6 x 6 = 36

Thus, the probability = 2/36 = 1/18

The odds of the two dice's results adding up to 11 are 1/18.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice.

From the general formula of probability:

Probability = desired outcomes / total possible outcomes

in our case desired outcome =  scores on the two dice adding to 11

the desired outcome is getting 6, 5 and 5,6

thus desired outcome =  2

since the dice is 6-sided

total outcome = 6*6  = 36

probability = 2/36

Probability = 1/18

therefore, the probability of the scores on the two dice adding to 11 is 1/18.

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Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

Answer:

no it's not, since y has two functions , a positive and negative in terms of x.

Answer:

A is wrong

B is correct

C is correct

D is wrong

E is wrong

F is correct

Step-by-step explanation:

Here, we want to select the correct options about the sine function.

A. is wrong

Let’s use a case of 30 degrees angle

Sin(-30) = -0.5

Sin(30) = 0.5

B is correct

sin(-30) = -0.5

-sin(30) = -0.5

C. C is correct

Sine function is an odd function.

By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)

This is obtainable and clear about the sine function from earlier options

D. Is wrong

E. is wrong

F. is correct

The period of the sine function is 2 pi

The period of a function is the time distance between two peaks or crests

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

1, 3, 5, 15

Step-by-step explanation:

These 4 numbers are all the factors for 15, since they can divide 15 evenly

(ex: 15/3  = 5)

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

Answer:

C. 7⁷ × 2⁷

Step-by-step explanation:

The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.

(7 × 2)⁷

7⁷ × 2⁷

Answer:

c. [tex]7^7[/tex]· [tex]2^7[/tex]

Step-by-step explanation:

please mark me brainliest!

Answer:

The answer is option C.

Step-by-step explanation:

Angles in a triangle add up to 180°

To find x add up all the angles in the triangle and subtract it from 180°

Thus

x + 95 + 57 = 180

x = 180 - 152

x = 28°

Hope this helps

Step-by-step explanation:

given,

tan thita =8/9

or,tan thita=p/b

now, h=

[tex] \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{8 {}^{2} + 9 {}^{2} } [/tex]

[tex] = \sqrt{145} [/tex]

therefore, h=

[tex] \sqrt{145} [/tex]

now, cos thita =b/h

so, cos thita =

[tex]9 \div \sqrt{145} [/tex]

[tex] = 9 \sqrt{145} \div \sqrt{145} [/tex]

......ans........

hope its helpful

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

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Answer:

B

Step-by-step explanation:

3•(-6)=-18

3•(-11)=-33

3•(-14)=-42

3•(-9)=-27

Answer:

B. [ -18 -33]

[ -42 -27]

you have to distribute the x3 to all four numbers in the matrix

Answer:

3 3 4 4 5

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

Data provided in the question

Angle V = right angle = 90°

YX and WX = tangents,

And YV and WV = radii

So, we can say that

Angle Y = 90°

And,

Angle  W = 90°

Now as we know that sum of four interior angles is 360°

So,

the equation is  

V + Y + W + X = 360°

90° + 90° + 90° + X = 360°

270° + X = 360

Therefore,

X = 360° - 270°

= 90°

Answer:

c. 90

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

5750

Step-by-step explanation:

[tex]\frac{5}{100}[/tex]×5000=250

250×3=750

5000+750=5750

Answer:

first option

Step-by-step explanation:

Given

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

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

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

Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

An expression is combination of variables, numbers and operators.

The given expression is 3x/x+1 divided by x+1.

We need to find the equivalent expression of it.

3x/x+1 divided by x+1 can be mathematically written as below

(3x/x+1)/x+1

(3x/x+1) is the numerator and x+1 is in denominator

(3x/x+1)/(x+1/1)

When a fraction is divided by another fraction the denominator is multiplied to numerator as a reciprocal.

(3x/x+1).(1/x+1)

Hence, Option A is correct, (3x/x+1).(1/x+1) is the equivalent expression of the expression  3x/x+1 divided by x+1.

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Answer:

x=-1

Step-by-step explanation:

Answer: x. = -1

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

Step-by-step explanation:

the least ratio is 2 and the total ratio is 10 therefore the least amount should be two divided by the total ratio multiplying the coke in milliliters (1L = 1000ml)

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

Let a be the area of the single parallelogram

the area of a parallelogram is fiven by the formula :

let's find y