Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

A.
graph A

B.
graph B

C.
graph C

D.
graph D

Answer:

∠ECB

Step-by-step explanation:

The angle which is vertical to ∠HCI is ∠ECB.

A vertical angle has the equal angle measure to the angle opposing it.

Hence, our answer is understood.

Answer:

6 tables

Step-by-step explanation:

54 chairs divided by 9 chairs = 6 tables have 9 chairs :)

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

⇒ 1 : Based on the given conditions, formulate

⇒ 54 ÷ 9

⇒ 2 : Calculate

54

----

9

= 6.75

Round down in this case, so

⇒ Answer: 6.

Answer:

113.1

A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1

Step-by-step explanation:

Line L passes through point (0,2) and (4,0)

If you want to find the gradient of Line L, you can use this formula :

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{0 - 2}{4 - 0} [/tex]

[tex]m = \frac{ - 2}{4} [/tex]

[tex]m = - \frac{1}{2} [/tex]

Ethan's mistakes in sorting the shapes into two groups are:

From the complete question (see attachment), the shapes are grouped using the following criteria:

Using the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups

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The height of Nasim kite above the ground is 51.79 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height from Nasim hand to the kite, hence:

sin(28) = h / 105

h = 49.29

Kite height above the ground = 2.5 + 49.29 = 51.79 feet

The height of Nasim kite above the ground is 51.79 feet

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Answer:

Step-by-step explanation:

the number of combinations of 4 people we can form from 6 is :

[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]

Answer:

[tex]\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}[/tex]

Step-by-step explanation:

Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.

Now, the formula for the cirumference of a circle = 2πr

Circumference of the circle

= 2πr

= 2 × 3.14 × 5                      [π = 3.14]

= 31.4 feet (option E)

[tex]\rule{150pt}{2pt}[/tex]

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond[/tex]

          What is the circumference of the circle? (Its radius is 5 ft)

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).

We're asked to find the circumference of the circle, which can be found using the following formula:-

❖  [tex]\sf{C=2\pi r}[/tex]

Where:-

Substitute 5 for r:-

[tex]\sf{C=2\pi (5)}[/tex]

On simplification,

[tex]\sf{C=10\pi}[/tex]

On further simplification,

[tex]\sf{C=31.4\:feet}[/tex]

So we conclude that the right option is:-

[tex]\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark[/tex]

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

Answer:

1/4, 3/10, 7/20, 2/5

Step-by-step explanation:

1/4 = 25%

3/10 = 30%

7/20 = 35%

2/5 = 40%

Answer:

165 is your cost in dollars

Step-by-step explanation:

d = 15c

11 * 15c = 165c

The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15

From the table of values, we have:

Yellow = 8

Total = 30

The experimental probability is then calculated using:

P(Yellow) = Yellow/Total

This gives

P(Yellow) = 8/30

Simplify

P(Yellow) = 4/15

Hence, the experimental probability is 4/15

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Answer:

f-g=10x+3-(-7x-4)

=10x+3+7x+4

=17x+7

(f-g)(x)= 17x+7

Answer:

17x + 7

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = 10x + 3

g(x) = -7x - 4

Simplify:

(10x + 3) - (-7x - 4)

(10x + 3) - (-7x) + - (- 4)

10x + 3 + 7x + 4

17x + 7

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Step-by-step explanation:

6x125=750 hope this helps

Answer:

400π

Decimal Form:

1256.63706143

Explanation: To find the around the trail, you'll use the circumference formula.

2πr

2 x 3.14 x 200

Subtract the difference of girls and boys from total kids:

35 -13 = 22

Divide 22 in half:

22/2 = 11

number of females = 11

Number of males = 11 + 13 = 24

Answer:

24 males, 11 females

Step-by-step explanation:

Solved with equations:

m = males, f = females

The equations:

[tex]m+f=35\\m-f=13[/tex]

Add the two equations:

[tex]2m=48[/tex]

[tex]m=48/2=24[/tex] males

Number of females:

[tex]24+f=35\\f=35-24\\f=11[/tex]

Hope this helps

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

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Answer: [tex]4x^2-10x-6[/tex]

Step-by-step explanation:

[tex](x-3)(4x+2)[/tex]

[tex]Expand[/tex] [tex]the[/tex] [tex]polynomial[/tex] [tex]using[/tex] [tex]the[/tex] [tex]FOIL[/tex] [tex]method[/tex].

Therefore your answer is [tex]4x^2-10x-6[/tex]

Answer:

4x^2 -10x + 6

Step-by-step explanation:

multiply (x-3)(4x+2) using the foil method

(x*4x)+(x*2)+(-3*4x)+(3*2)= 4x^2+2x-12x+6 = 4x^2 -10x + 6

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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Answer:

Factor by grouping.

(3x−1)(3x+2)

Step-by-step explanation:

Answer: Tony paid $1.20 less than Keith paid.

Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.

The value of the probability P(D) is 0.74

Using the tree diagram, the value of P(D) is represented as:

P(D) = P(B and D) + P(A and D)

Using the values on the tree diagram, we have:

P(D) = 0.4 * 0.8 + 0.6 * 0.7

Evaluate

P(D) = 0.74

Hence, the value of the probability P(D) is 0.74

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Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

Equations with no solutions has two of its sides to be equal.

From the given option, we can check he equation

5(x + 4) - x = 4(x+5) - 1

Expand

5x + 20 - x = 4x + 20 -1

4x +20 = 4x + 19
4x - 4x = -1

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

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The  total of amala’s liabilities will be $5,500.

Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.

In this case, the total will be:

Total amount of Amala’s liabilities = Credit card balance  + car + student loan

So, we have:

[tex]850 + 2200 + 2500 = $5500[/tex]

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Answer:

$3,350

Step-by-step explanation:

This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350

Answer:

because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2

It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.

The formula for the area of a regular Trapezoid is:

A = h * ((a+b)/2);

Where

A = Area

a  = Short Base

b = Long Base

h = Height

Following the above formula,

A = 4 * ((5+9)/2)

A = 4 * (14/2)

A = 4 * 7

A = 28 Feet.

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Answer: s = 47°

Step-by-step explanation:

     This shape is a hexagon because it has 6 sides.

-> There are 720° total in a hexagon.

   Using this information, we will add together all the angles, set it equal to 720°, and solve for x.

(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°

3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°

3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°

15s° + 15° = 720°

15s° = 705°

s = 47°

Answer:

70 points

Step-by-step explanation:

Answer:

[tex]a_{20}[/tex] = 84

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d

~~~~~~~~~~~~~

[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24

[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40

[tex]a_{1}[/tex] + 4d = 24 ........... (1)

[tex]a_{1}[/tex] + 8d = 40 ........... (2)

(2) - (1)

4d = 16 ⇒ d = 4

[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8

[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84

Answer:

23

Add positive 14 and 9 to get 23

14 + 9 = 23

-14 + 23 = 9