Triangle Angle-Sum Theorem

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

The point is inside. I used Desmos and it showed this.

aand (-4,2) can be placed inside the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well lets start with

(3*sqrt 2+ 1)(2*sqrt 3-4)

Lets multiply everything in the second parenthesis by 3*sqrt 2

2 sqrt 3 * 3 sqrt 2 =  6 sqrt 6

-4*3 sqrt 2 =  -12 sqrt 2

Now lets multiply everything by 1

1*2 sqrt 3 = 2 sqrt 3

1*-4 = -4

we have

-4  -12 [tex]\sqrt{2}[/tex]  +  6 [tex]\sqrt{6}[/tex]  + 2 [tex]\sqrt{3}[/tex]  as the awnser to problem A

Now lets do problem b

We can start by multiplying everything in the second parenthesis by 2

2*5=10

2*-1 *sqrt 3 = -2 sqrt 3

Now multiply everything in the second parenthesis by 2sqrt3

2sqrt 3 * 5 = 10 sqrt 3

2 sqrt 3 * -1* sqrt3 =  -6

Our final awnser is

10-6 +10 sqrt 3 -2 sqrt 3 ->  4+ 8 [tex]\sqrt{3}[/tex]

The awnser to question B is 4+ 8 [tex]\sqrt{3}[/tex]

pls give brainliest

Answer: 1) You forgot to change the sign over there. You have to subtract over there.

2) Just be careful while solving equations while changing the signs

Answer:

(2-a)^2

(2+a) (2-a)...

Answer:

Step-by-step explanation:

Use the identity:  a² - b² = (a+ b)(a - b)

4 - a² = 2² - a²        {Here a = 2 and b = a}

        = (2 +a) (2 - a)

Given:

The two equations are:

[tex]y=\dfrac{2}{3}x-5[/tex]

[tex]y=-2x+3[/tex]

To find:

Whether (-3,-3) is a solution of the given equation or not.

Solution:

Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],

x         y

0        -5

7.5      0

Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.

Table of values for [tex]y=-2x+3[/tex],

x         y

0        3

1.5      0

Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.

From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).

Therefore, she is incorrect because the correct solution is (3,-3).

Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

Answer:

0.84 kg

Step-by-step explanation:

Given that :

Weight per liter = 1.12kg per liter

That is 1 Litre weighs 1.12 kilogram

The weight of saline solution of 0.75 Litre will be :

1 Litre = 1.12 kg

0.75 Litre = x

Cross multiply :

1 * x = 1.12 * 0.75

x = 0.84 kg

Hence, 0.75 Litre weighs 0.84 kg

Answer:

y = - 2

Step-by-step explanation:

x = 0 lies on the y- axis

The only point on the y- axis where the function crosses is y = - 2

Then when x = 0, y = - 2

Answer:

Age of Raju = 12

Age of Ravi = 16

Step-by-step explanation:

Let the Ages of Raju and Ravi be 3x and 4x years

According to question, [tex]\frac{3x+4}{4x+4}[/tex] = [tex]\frac{4}{5}[/tex]

⇒ 5(3x+4)=4(4x+4)

⇒ 15x+20 = 16x+16

⇒ 15x−16x=16 - 20

⇒ −x = −4

⇒ x = 4

Age of Raju = 3 × 4 = 12

Age of Ravi = 4 × 4 = 16

HOPE IT HELPS!!

Answer:

raju=16 years

Ravi=20 years

Step-by-step explanation:

raju =4×4=16

Ravi=5×4=20

Answer:

Step-by-step explanation:

Given function is,

f(x) = -x² - 2x - 1

     = -(x² + 2x + 1)

     = -(x + 2)²

Comparing this equation with the vertex form of a quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex.

Vertex of the function is (-2, 0)

Leading coefficient of the function = -1

Therefore, parabola will open downwards.

Function will be increasing in the interval (-∞, -2).

Function will be decreasing in the interval (-2, -∞).

Domain of the function → (-∞, ∞)

Range of the function → (-∞, 0]

Answer:

Step-by-step explanation:

edge

Answer:

Four pieces.

Step-by-step explanation:

If Aimee has a piece of ribbon that is 5 1/4, or 5 2/8 meters long, then you will want to divide that main part into smaller parts of the other length.

1 1/8 meters multiplied by 1 is 1 1/8 meters. This still fits. 1 1/8 meters multiplied by 2 is 2 1/4 meters. This still fits. 1 1/8 meters multiplied by 3 is 3 3/8 meters, which still fits. 1 1/8 meters multiplied by 4 is 4 1/2 meters, which still fits. However, once you reach 5, or 5 5/8 total, then that is over the size of the whole.

So, four full pieces can be cut.

Answer:

The answer is 4

Step-by-step explanation:

Answer:

1/3 more pounds of string beans.

Step-by-step explanation:

Amount of string beans: 5/12 of a lbs(pound)

Amount of lima beans: 1/12 of a lbs

Amount of string beans - Amount of lima beans = 5/12-1/12 =4/12 which simplifies down to 1/3.

Answer:

hope it helps.

Step-by-step explanation:

C = 6 n + 4,500

the set up cost is represented by the initial value of the function, which is $4,500.

the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.

Answer:

D. -1/7

Step-by-step explanation:

Substitute and solve

Answer:

[tex]-\frac{1}{7}[/tex]

Step-by-step explanation:

When given the following expression,

[tex]\frac{a+c}{a^2-c^2}[/tex]

With the information that the values (a = -2) and (c = 5), one is asked to evaluate the expression. One's first instinct is probably to substitute the values into the expression and solve, however, a faster approach is to simplify the expression. The denominator is the difference of squares, thus one can rewrite it as the product of two linear expressions. Then one can simplify it by canceling out like terms in the denominator and the numerator. Finally, one can then substitute the values of the (a) and (c) into the simplified expression and solve.

[tex]\frac{a+c}{a^2-c^2}[/tex]

[tex]=\frac{a+c}{(a+c)(a-c)}[/tex]

Cross out like terms in the numerator and denominator,

[tex]=\frac{a+c}{(a+c)(a-c)}[/tex]

[tex]=\frac{1}{a-c}[/tex]

Now substitute the values of (a) and (c) into the expression and simplify to evaluate,

[tex]=\frac{1}{a-c}[/tex]

[tex]=\frac{1}{(-2)-(5)}\\\\=\frac{1}{-2-5}\\\\=-\frac{1}{7}[/tex]

Answer:

16 m

Step-by-step explanation:

V = [tex]s^{3}[/tex]

4096 = [tex]s^{3}[/tex]

cube root of 4096 = 16

Answer:

Step-by-step explanation:

Let the time taken to reach 12,000 feet = x

Distance traveled in 1 minute = 2000 ft

Distance traveled in 'x' minute = 2000 * x = 2000x

30,000 - 2000x = 12000

Add 2000x to both sides

30,000 = 12000 + 2000x

Now subtract 12,000 from both sides

30000 - 12 000 = 2000x

2000x =  18 000

Divide both sides  by 2000

x = 18000/2000

x = 9 minutes

Answer: [tex]7.5\ km[/tex]

Step-by-step explanation:

Given

Girl has traveled 6 km from her house

She has covered [tex]\frac{4}{5}[/tex] of the distance

Suppose the total distance is x

[tex]\therefore 6=\dfrac{4x}{5}\\\\\Rightarrow x=\dfrac{30}{4}\\\\\Rightarrow x=\dfrac{15}{2}\ \text{km}\\\\\Rightarrow x=7.5\ \text{km}[/tex]

Answer:

1)duno

2)duno

3)duno

Step-by-step explanation:

glad i can help hahahaahhaa

Answer: 2.

Step-by-step explanation:

if you were to divide 418752 by 18 you would get a clear (without decimal) number, that would equal 23264

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{8}{m}-\frac{b}{n}\\\\\rightarrow \text{Adjust based on LCM}\\\text{LCM: } mn\\\\\frac{8n}{mn}-\frac{bm}{mn}\\\\\boxed{\frac{8n-mb}{mn}}[/tex]

Hope this helps.

Answer: Given : Joe’s Earnings and hour worked

The relationship between money earned and hours worked is linear.

Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).

To Find : How do the two slopes compare?

Solution:

Hours worked     Money earned

4                          $30

10                        $75

12                        $90

22                       $165

slope between (4, 30) and (12, 90),

= (90 - 30)/(12 - 4)

= 60/8

= 15/2

slope between (4, 30) and (10, 75)

= (75 - 30)/(10-4)

= 45/6

= 15/2

The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

Both Slopes are same.

i hope this helped and have a nice day/night

The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.

The slope between two points (x₁,y₁)  and  (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).

Let's calculate the slopes:

The slope between (4, 30) and (12, 90):

Slope = (90 - 30) / (12 - 4)

= 60 / 8

= 7.5

The slope between (4, 30) and (10, 75):

Slope = (75 - 30) / (10 - 4)

= 45 / 6

= 7.5

As we can see, the slopes between the two sets of ordered pairs are the same.

Thus,  the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

Hence, the correct answer is the third option.

Learn more about the slope of the line here:

brainly.com/question/14511992

#SPJ7

Answer:

bigger number minus larger number plus 1

430-421 = 9 + 1 = 10

573 - 567 = 6+1 = 7

898 - 890 = 8+ 1 = 9

Step-by-step explanation:

the sum of triangle is 180:

[tex]y + 40 + y + 30 = 180 \\ 2y + 70 = 180 \\ 2y = 180 - 70 \\ 2y = 110 \\ y = \frac{110}{2} \\ y = 55[/tex]

Answer:

Liza: 5 parts

Lina: 2 parts

Lini: 3 parts

Step-by-step explanation:

Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had

5-2=3 parts for Lini

Thank you. Tell me if any incorrections.

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer