What are the coordinates of A? someone help ​

The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

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Answer:

36 meeters

Step-by-step explanation:

trust me bro

S = √2+√8+√18+√32+……………… n terms.

or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.

This is an A.P. in which a = √2. , d = √2.

Sn = n/2.[2.a +(n-1).d].

or, Sn = n/2.[ 2√2 +(n-1).√2].

or, Sn = (n/2).√2.[ 2 +n-1].

or, Sn = n.(n+1)/√2. Answer.

Given AP :√2,√8,√18,√32,...

First term = √2

Common difference = √8-√2

⇛ √(2×2×2)-√2

⇛ 2√2-√2

⇛√2

We know that

Sum of first n terms of an AP

⇛ Sn = (n/2)[2a+(n-1)d]

⇛ Sn = (n/2)[2√2+(n-1)(√2)]

⇛ Sn = (n/2)[2√2+√2 n -√2]

⇛ Sn = (n/2)[√2 n +√2)

⇛ Sn = (n/2)×(√2)(n+1)

⇛Sn = (n/√2)(n+1)

⇛ Sn = n(n+1)/√2

Additional comment:

nth term of an AP = a+(n-1)d

Sum of first n terms of an AP

Sn = (n/2)[2a+(n-1)d]

Sum of the first n terms = Sn =

(n/2)(a+an)

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

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The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap

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Answer: 35°

Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.

I hope this helps!

-Notsonerdy

Answer:

d four

Step-by-step explanation:

How many solutions does the nonlinear system of equations graphed below have?  

Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.  

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

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Answer:

Black

Step-by-step explanation:

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:

[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)

We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:

[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)

If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:

[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]

[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]

The magnitude of the resultant is found by Pythagorean theorem:

[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]

And the bearing is determined by the following inverse trigonometric relationship:

[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)

If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:

[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]

[tex]\|\vec R\| \approx 10.536\,km[/tex]

[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]

[tex]\theta_{R} \approx 34.715^{\circ}[/tex]

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

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Answer:

the first one

Step-by-step explanation:

plz give brainliest

Answer:

800 shrimp

Step-by-step explanation:

100 plates of shrimp

8 shrimp on each plate

100 × 8 = 800

= 800 shrimp were prepared by the chef

Hope this helps.

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Answer:

21.2

Step-by-step explanation:

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

Answer A

21.2

Step-by-step explanation:

Answer:

Follow the explanation below.

Step-by-step explanation:

7x = 48 - 8

7x = 40

x = 40/7

x = 5.714

Answer:

y= -1x+4

Step-by-step explanation:

-1/1 is simplified to -1

Answer:

a=3

Step-by-step explanation:

you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again

Answer:

a=3

Step-by-step explanation:

Answer:

15:6:14

Step-by-step explanation:

AB:BD is split into a total of 3+4=7 parts.

AC:CD is split into a total of 3+2=5 parts.

So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).

AB would be (3/7)*35=15.

CD would be (2/5)*35=14

BC would be 35-(15+14)=6

So, the ratio is 15:6:14.

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

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Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

Given that:

f(x) = 5(3)x-4

f(6) = 5(3)(6) - 4 ⇛15(6) - 4 ⇛90-4 ⇛86Ans.

Answer:

I think its vertical opposite angle

Answer:

Step-by-step explanation:

1) 11v > -66

divide by 11

V > -6

all of them are done like this

Answer:

5 1/3 ÷ 2 2/3

Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).

5 1/3 = 16/3

2 2/3 = 8/3

16/3 ÷ 8/3

When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.

16/3 x 3/8

Multiply.

16/8

Divide by 8.

2

Hope this helps! :)

Answer:

associative

Step-by-step explanation:

8x1=8

no matter how you group it the answer will always be 8

Hey there!

Identity Property FORMULA

Addition Identity Property

a + 0 = a

Multiplication Identity Property

a × b = b × a

Associative Property FORMULA

Addition Associative Property

a + (b + c)

Multiplication Associative Property

a * (b * c) = (a * b) * c

Based on that information we have above… we should say that your answer is most likely: IDENTITY

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

B.

Step-by-step explanation:

Adding 0 to 6 gives the same value (6).

Zero is called the Identity element of Addition,

Answer:

-10.9

Step-by-step explanation:

Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.

Divide -65.4 by the count of the numbers. (6)

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer:

(1) x+6

Step-by-step explanation:

Answer:

15 km

Step-by-step explanation:

Answer:

she will put 9 counters in each bag

she will have 20 counters left over

Answer:

a. 9 each

b. yes she will have 20 left

Step-by-step explanation

245/25=9.8 but if equally it will be 9 with a remainder of 20

that solves everything

Answer:

x = 8 - 4y

Step-by-step explanation:

16/2 = 8

8y/2 = 4y

The value of x of the expression is x = 8 - 4y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x = (1/2)(16 - 8y)

Removing the parenthesis.

x = 16/2 - 8y/2

x = 8 - 4y

Thus,

The value of x is 8 - 4y.

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Answer:

8 512 =8 X 8 X 8

Step-by-step explanation: