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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

Step-by-step explanation:

it is like a regular addition of numbers. you add the different positions.

3x + 7x = 10x

-y + y = 0

-5 + 15 = 10

so, D. is the right answer : 10x = 10

Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

Simplify both sides of the equation

Subtract 2 from both sides

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{242}{5} [/tex]

[tex] \: x = \dfrac{242}{5} [/tex]

OR

[tex] \: x = 48.4 [/tex]

The solution to the given problem is:

To find the value of x, one would have to spread out the terms.

5x+2 = 244

Then we would make x the subject formula

5x= 244-2

5x=242

Divide both sides by 5 (value of x)

x= 242/5

Therefore, the value of x is  48. 4

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Answer:

The equation is 6(x + 10) = 60, and the answer to the equation is 0

Step-by-step explanation:

Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].

Answer:

14

Step-by-step explanation:

3+3+4+4 = 14

Answer: Bruce's speed is 3.75 mph(miles per hour).

n= smallest integer

n+2= middle integer

n+4= largest integer

n + n + 4 = 36

2n+ 4 = 36

2n=32

n= 16 which means that the smallest integer is 16

then you substitute it into the equation for the largest integer

n+4=20

16, 18, 20 is the answer

Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

Answer:

To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.

Step-by-step explanation:

Answer:

The answer is 70% if you round it.

Step-by-step explanation:

45 out of 68 is 66 but if you're rounding it the answer is 70%.

Answer:

3 * 5 * 7

when i say * i mean the multiplication sign.

Step-by-step explanation:

Just ask. <3

(✿◡‿◡) HAPPY HOLIDAYS!!!

 :D

Answer:

The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.

Step-by-step explanation:

Answer:

cost for 18 apples:  $3.38

$5 will buy 26 apples

Step-by-step explanation:

let 'a' = apples

1.50/8 = cost per apple

$0.1875 for one apple

cost for 18 apples:  0.1875 x 18 = $3.38

5.00 / 0.1875 = number of apples for $5  → 26

Answer:

idioet.

Step-by-step explanation:

Answer:

y=−38x−14y is equal to negative 3 eighths x minus 1 fourth is the answer.

Answer:

c

Step-by-step explanation:

Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b

Answer:

See image.

Step-by-step explanation:

"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)

On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.

Answer:

75%

Step-by-step explanation:

100/64*48=75%

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

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Answer:

y = 2x - 7

Step-by-step explanation:

lmk if you want an explanation

Answer:

D (bottom right)

Step-by-step explanation:

Using the vertical line test, only D passes.

Hope that helps

The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

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Answer:

Step-by-step explanation:

1/5 (2x - 10) + 4x = -3(1/5x + 4)

a bit ambiguous, I'll ASSUME you mean

1/5 (2x - 10) + 4x = -3(x/5 + 4)

     2x/5 - 2 + 4x = -3x/5 - 12

                      5x = -10

                      x = -2

My answer being one of your options makes me think my assumption was correct.

We have:

[tex]p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}[/tex]

ok done. Thank to me :>

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

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Step-by-step explanation:

# easy learning

good luck and god Blees you

35 - 45 / 9 x 5

Divide 45 by 9 to get 5.

35 - 5 x 5

Multiply 5 and 5 to get 25.

35 - 25

Subtract 25 from 35 to get 10.

= 10