id like some help here... if possible.

The distance between Rachel and Amos after one hour is 15 miles.

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

Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles

Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles

Let x represent the distance between Rachel and Amos, hence:

x² = 9² + 12²

x = 15

The distance between Rachel and Amos after one hour is 15 miles.

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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:

[tex]d^2 = 9^2 + 12^2[/tex]

[tex]d = \sqrt{9^2 + 12^2}[/tex]

d = 15 miles

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Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Step-by-step explanation:

We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

Given, the equation of circle

[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]

By comparing, we will get,

h = -2

k = 3

So, center of the circle is ( -2,3)

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Answer:

-2;3

Step-by-step explanation:

we have a formular

(x-a)^2 +(y-b)^2=c

the center of the cirlce is (a;b)

so in this case it's (-2;3)

Answer:

The sample size needed is of 10,484.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The weekly earnings of students in one age group are normally distributed with a standard deviation of 88 dollars.

This means that [tex]\sigma = 88[/tex]

Find the sample size needed to assure with 98 percent confidence that the sample mean will not differ from the population mean by more than 2 dollars.

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 2.327\frac{88}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 2.327*88[/tex]

[tex]\sqrt{n} = \frac{2.327*88}{2}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*88}{2})^2[/tex]

[tex]n = 10483.3[/tex]

Rounding up:

The sample size needed is of 10,484.

Answer:

16

Step-by-step explanation:

38-22=16

Answer: a= 1

Step-by-step explanation:

a * b = b

Divide by “b” on both sides

a= b/b

“b/b” is equal to 1

a=1

Hope that helps

Lmk if you need a better explanation.

Answer:

B and C

Step-by-step explanation:

The ratio of black to white is 5:6

The only mixtures that have this ratio is B and C

Answer:

y = mx + b

m = slope = -2

To find the y-intercept(b), substitute the points into the function:

-3 = -2(-5)  + b

-3 = 10 + b

b = -3 - 10 = -13

Therefore, y = -2x - 13

Answer:

Step-by-step explanation:

Answer:

x = 15.8

Hope this helps...Have a good day!!

Answer:

7 and 42

Step-by-step explanation:

The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42

Answer:

20

Step-by-step explanation:

x-2y=6 and x+y=10

Multiply the second equation by 2

2x+2y = 20

Answer:

Step-by-step explanation:

The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.

Answer:

x = 24.4°

Hope this helps... Have a good day!!

Answer:

n = √108

Step-by-step explanation:

Use similar triangles or the right triangle altitude theorem.

18/n = n/6

n^2 = 18 * 6

n^2 = 108

n = √108

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

Answer:

6x - 4y - 3

Step-by-step explanation:

They are basically telling you to sum both equations. So,

(2x + 3y + 5) + (4x - 7y - 8)

= 2x + 4x + 3y - 7y + 5 - 8

= 6x - 4y - 3

Answer:

Domain { -3,-2,3}

Range{ -1,1,2}

Step-by-step explanation:

The domain is the input

Domain { -3,-2,3}

The range is the output

Range{ -1,1,2}

Answer:

NO

Step-by-step explanation:

Answer:

hiyupbhhhhkigkzblbbbgedvflr

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

Answer:

7.82

Step-by-step explanation:

I solved it

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

Answer:

Behold.

Step-by-step explanation

The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.

Given functions,f

1) For x ≤ -2: f(x) = -12 + 6x

2) For -2 < x < 1: f(x) = 41 - 15x

3) For x ≥ 1: f(x) = 31 - 4x

1) The graph crosses the y-axis at (0, -15).

This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.

2) The graph has a point of discontinuity at x = 1.

This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.

3) The graph is increasing over the interval (4, ∞).

This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.

4) The graph is decreasing over the interval (-12, -2).

This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.

Statement 5: The domain of the function is all real numbers.

This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.

So, the answer to the statement is

1) false

2) false

3) true

4) true

5) false

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Hi there!  

»»————-　★　————-««

I believe your answer is:

3

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

It's 5 which is A.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It has two or more terms.

Answer:

x + 6 / 8

Step-by-step explanation:

The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.

x + 6

The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.

x + 6 / 8

Answer:

-86

Step-by-step explanation:

-102-

98 so the answer is -86

Answer:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

[tex]x = \sqrt{88} [/tex]