What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42? 2 units 4 units 8 units 16 units

Answer:

Choice D 7/26

Step-by-step explanation:

So first let's count how many face cards there are. We have a Jack, a Queen, and a King in all of the 4 sets of cards. This knowledge tells us that we have 12 face cards out of the 52 cards.  Then, we have 2 red sixes in the game.  These come from the 6 of hearts and the 6 of diamonds.  This makes the new total of the cards we want to draw 12+2=14. Then we now have the fraction 14/52.  After simplifying we get the answer 7/26 is our probability (choice D)

Answer:

7/26

Step-by-step explanation:

52 cards

Jacks , queens, kings are face cards =

3 per suit *4 suits = 12 cards

2 red sixes = 2

P (red 6 or face cards ) = red 6 or face cards / total

                                    = (12+2) / 52

                                     = 14/52

                                     = 7/26

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

Answer:

the answer is 1

Step-by-step explanation:

you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.

Answer:

It would equal 1

Step-by-step explanation:

Convert 1/2 to 0.5 then it would be easier to solve.

0.75-0.25=0.5

0.5+0.5=1

Hope this helps!

Answer:

x>=16

Step-by-step explanation:

Let's subtract 17 from each side!

17 + x>=33

-17          -17

This gets us x>=16

Answer: B.

x≥16

Step-by-step explanation:

17+≥33

subtract 17 on both sides

x≥16

Answer:

I had graphed your equation.

I recommend the website desmos.com for graphing online.

Have a nice day.

Answer:

f(x) = √7x

g(x) = 1/x -8

To find the domain of f º g we must first find f o g(x)

To find f o g(x) wherever you see x in f(x) replace it by g(x)

That's

f o g = √7(1/x-8)

= √7 / √x - 8

To find the domain equate the denominator to zero

That's

√x - 8 = 0

Square both sides

(√x - 8)² = 0²

x - 8 = 0

x = 8

The domain of f o g is x E R except 8

Hope this helps

Answer:

The correct option is A

A) 25 degrees

Step-by-step explanation:

As two parallel line l and m are cut by the line t, the angles formed (x-10)° and < 3 are alternate angles, therefore they are equal to each other.

< 3 = (x-10)° ⇒ Equation (i)

We know that any straight line has a sum of angles equal to 180°.

Consider line t, it is divided into 3 angles due to cutting. Those angles are 85°, (2x)° and (x-10)°. The sum of these angles is 180° as stated before.

85° + (2x)° + (x-10)° = 180°

Find the value of x:

85 +2x + x - 10 = 180

3x + 75 = 180

3x = 105

x = 35°

Substitute it in Equation (i) to get the value of <3

< 3 = (35 - x)°

< 3 = (35 - 10)°

< 3 = 25°

Answer: 2 <= X <= 5

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days

Answer:

90m

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

150 times 0.7 is equal to 70% of 150

70% of 150 is 105

105 is the reduced price

option B gives the distance between the points.

Answer:

Option B

Step-by-step explanation:

The coordinates are (1,-2) and (2,4)

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(1-2)^2+(-2-4)^2}[/tex]

Hey there! :)

Answer:

r = 105.

Step-by-step explanation:

In the quadratic formula, √r = [tex]{\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6. Therefore:

√r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Therefore, r = 105.

Answer: <MQR to be 15 degrees

The value of RQ = 9, from the given details, using the sine rule and other properties of triangles.

According to the sine rule, in a triangle ABC,

a/sin A = b/sin B = c/sin C

where a = BC, b = AC, and c = AB.

In the question, we are given a diagram and the following details:

∆PQR, m ∠R = 90° m ∠PQR = 75°, m ∠MQR = 60° M ∈ PR , MP = 18. We are asked to find the value of RQ.

Now, since m ∠PQR = 75° and m ∠MQR = 60°,

we can say that m ∠PQM = m ∠PQR - m ∠ MQR = 75° - 60° = 15°.

In Δ MQR,

m ∠R = 90°, m ∠Q = 60°.

∴ m ∠M = 180° - (m ∠R + m ∠Q) = 180° - (90° + 60°) = 30°. {using angle sum property of triangle}

At point M, m ∠RMQ + m ∠ QMP = 180° {Adjacent angles}

or, 30° + m ∠ QMP = 180° {∵ m ∠RMQ = 30°, calculated above}

or, m ∠ QMP = 180° - 30° = 150°.

Now, in ΔPQM,

m ∠P + m ∠Q + m ∠M = 180°.

or, m ∠P + 15° + 150° = 180°

or, m ∠P + 165° = 180°,

or, m ∠P = 15°.

Since, m ∠P = m ∠Q, Δ QPM is an isosceles triangle, with MP = MQ = 18 {Since, MP = 18 is given}.

Now in ΔRQM, by applying the sine rule, we can say that:

MQ/sin R = RQ/sin M,

or, 18/sin 90° = RQ/sin 30°,

or, RQ = (18*sin 30°)/sin 90° = (18*0.5)/1 {Since, sin 30° = 0.5 and sin 90° = 1},

or, RQ = 9.

Therefore, RQ = 9, using the sine rule.

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Answer:

answer should be 52.4 mins

Step-by-step explanation:

find the midpoint for each time:

1. 15mins = 7students

2. 45mins = 27 students

3. 75mins = 12 students

4. 100 = 4students

Then, do the normal mean calculation by adding up all the values and dividing it by 50.

7*15 + 27*45 + 12*75 + 100*4 = 2620

2620/50 = 52.4mins

Answer:

$23????? You just add both of the amounts you borrowed

Answer:

15/3 = v/7 can be a true proportion.

Step-by-step explanation:

v is a variable, which means that technically any number can be put inside.

In this case, however, when you are solving for v, the numerator must be proportional to the denominator.

In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:

15 x 2.33 = ~34.95

If the variable v is ~34.95, then it is a true proportion.

Answer: The min value of Q is Q = 84 and it happens when x = 4 and y = 3

===========================================================

Explanation:

x+y = 7 turns into y = 7-x after subtracting x from both sides

Replace y with 7-x in the other equation to get

Q = 3x^2 + 4y^2

Q = 3x^2 + 4( y )^2

Q = 3x^2 + 4(7-x)^2

Q = 3x^2 + 4(49 - 14x + x^2)

Q = 3x^2 + 196 - 56x + 4x^2

Q = 7x^2 - 56x + 196

We have a function with one variable. Graphing 7x^2-56x+196 produces a parabola in which the vertex point is what we're after

Anything in the form p(x) = ax^2+bx+c will have a vertex (h,k) such that

h = -b/(2a)

k = p(h)

Let's find the x coordinate of the vertex

h = -(-56)/(2*7)

h = 4

Use this to find the y coordinate of the vertex

k = p(h)

p(x) = 7x^2-56x+196

p(h) = 7h^2-56h+196

p(4) = 7(4)^2-56(4)+196

p(4) = 84

The vertex is the lowest point in this case (since a = 7 is positive) and the vertex is (4,84)

Therefore, the minimum value of Q is Q = 84 and this happens when x = 4 and y = 3. Recall that y = 7-x.

We can see that,

Q = 3x^2 + 4y^2

Q = 3(4)^2 + 4(3)^2

Q = 3(16) + 4(9)

Q = 48 + 36

Q = 84

Which helps us verify we have the right Q value.

Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.

Step-by-step explanation:

No, Is it not true that every whole number is a solution of x > 0.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

To check, Is it true that every whole number is a solution of x > 0.

Now, We know that;

Every whole number is a solution of x ≥ 0.

That is, Zero is include in the whole numbers.

Therefore, Is it not true that every whole number is a solution of x > 0.

Learn more about the inequality visit:

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Answer: 3

Step-by-step explanation:

Pretend A is just three, B is just 4, and C is just 5.

3(3)-4(4)+2(5)

9-4(4)+2(5)

9-16+2(5)

9-16+10

-7+10

3

Answer: +3

Explanation: Start by plugging in the appropriate values for a, b, and c.

You might also want to change the -4b

to plus a negative 4b to avoid confusion.

Also, use parenthses when substituting numbers in for variables.

So we have 3(3) + -4(4) + 2(5).

Once you have plugged in your numbers, first multiply,

and then add from left to right.

So we have (9) + (-16) + (10).

Now add to get (-7) + (10) which is +3.

Answer:

Table 2.

Step-by-step explanation:

Input x as 0, the output y should be 4.

y = -2(0) + 4

y = 0 + 4

y = 4

Input x as 1, the output y should be 2.

y = -2(1) + 4

y = -2 + 4

y = 2

Input x as 2, the output y should be 0.

y = -2(2) + 4

y = -4 + 4

y = 0

Answer:

q = 18 ?

Step-by-step explanation:

This is not a complete question but ill give it a shot!

If we are following a pattern then we see q is 11 more than r.

So we do 11 + r (7) to get 18!

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Answer:

he have 40 pencils because it's need to double it.

Answer:

4 pencils

Step-by-step explanation:

17-5=12

12÷3=4

Answer:

Step-by-step explanation:

Using the graph we can notice something

let's take the abscissa  -2 and -4

so we can say that :

f(-4)=g(-2)

wait we khow that g(x)=f(k*x)

so x= -2 then let's replace it in the expression : f(k*x)

we get f(-4)=g(-2)=f[k*(-2)]

let's solve the equation: -2k = -4

                                               k = -4/-2

                                                k=2

so finally we get k=2

let's check :

from the graph we get :

we have (-1)*2 = -2

so it is true

Answer:

3/5

Step-by-step explanation:

Sine = opp/hypotenuse

The opposite of a is 3, and the hypotenuse is 5. Therefore, the sine is 3/5.

Hope this helps :)

Answer:

a = 95

Step-by-step explanation:

a+ 35+ 50 = 180

Combine like terms

a+ 85 = 180

Subtract 85 from each side

a+85-85 = 180-85

a = 95

Answer:

[tex]Probability = \frac{6}{29}[/tex]

Step-by-step explanation:

Given

------------------------------Has a brother | Does not have a brother

Has a sister --------------------------- 6 ----------------- 8

Does not have a sister  -----------2 ------------------ 13

Required

Probability of having a sister and a brother

First, the total number of students has to be calculated;

Total = 6 + 2+ 8 + 13

Total = 29

Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6

At this point, the probability can then be calculated;

Probability = Number of students that have a sister and a brother divided by Total number of students

[tex]Probability = \frac{6}{29}[/tex]

Answer:

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Answer:

225π cm^2, 706.5 cm^2, 706.858... cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

[tex]a=\pi r^2[/tex]

We know the radius is 15 cm, so we can substitute 15 cm in for r.

[tex]a=\pi (15cm)^2[/tex]

1. In terms of pi

To find the area in terms of pi, evaluate everything possible without multiplying by pi.

Evaluate the exponent.

[tex]a=\pi (15cm)^2[/tex]

15cm^2= 15 cm * 15 cm = 225 cm^2

[tex]a=\pi * 225 cm^2[/tex]

This can be rewritten as:

[tex]a=225\pi cm^2[/tex]

2. Using 3.14 for pi

Substitute 3.14 in for pi.

[tex]a=\pi (15cm)^2[/tex]

[tex]a=3.14*(15cm)^2[/tex]

[tex]a=3.14*225 cm^2[/tex]

Multiply

[tex]a=706.5 cm^2[/tex]

3. Using 3.14159265.... as pi

[tex]a=\pi (15cm)^2[/tex]

[tex]a=\pi *225 cm^2[/tex]

Multiply, using the pi button on a calculator

[tex]a=706.858346 cm^2[/tex]

Answer:

D. -11/12

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Simply plug in our coordinates:

m = (4 - 15)/(0 + 12)

m = -11/12