Write an inequality to describe the region represented on the number line.
H
-4 -3 -2 - 1 0 1 2 3 4
O x>-3
O x>-3.5
O x<-3
O x<-3.5

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 8

8+8²=72

8+64=72

72=72

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Answer:

7.82

Step-by-step explanation:

I solved it

Answer:

20

Step-by-step explanation:

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

Multiply the second equation by 2

2x+2y = 20

Step-by-step explanation:

you can check the answer by putting 5 on the place of B... you will get the lateral surface area

118 m²...

hope it helps

Answer:

It's 5 which is A.

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

how

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

Hi, I'm happy to help!

To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)

When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.

8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.

Next, We look for any exponents (x²). There are none in this equation.

We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.

40+8t - 96t-16t²-80 - 2t-2=

Once we find like terms, we can rearrange the expression.

(40-80-2)+8t - 96t+16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+(8t-96t-2t)-16t²

(-42)+(-90t)-16t²

(-42)+(-90t)-16t²

This doesn't have any like terms, so we don't alter it.

(122)+(-90t)-16t²

We can now remove the parenthesis.

122-90t-16t²

Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.

-16t²-90t-42

I hope this was helpful, keep learning! :D

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Hi there!  

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I believe your answer is:

3

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Here’s why:  

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[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]

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

Answer:

NO

Step-by-step explanation:

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:

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

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:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Answer:

C. 4(x + y)

Step-by-step explanation:

Use the distributive property.

4(x + y) = 4x + 4y

Answer:

C. 4(x + y)

Step-by-step explanation:

If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.

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:

16

Step-by-step explanation:

38-22=16

Answer:

I cannot read it

Step-by-step explanation:

Step-by-step explanation:

the answer should be the first option bcos

when we use the table of values

let's just assume the values of x to be 0,1,2and3

so when x= 0

using the given formula y=2x-3

we get

y= 2(0)-3

=0-3

= -3

so we have x=0,y=-3

we do the same for the rest of the values

y=2(1)-3=2-3 =-1

y=2(2)-3=4-3= 1

and on the gragh this gives a straight line

where the values of y are -3,-1,1

and x are 0,1,2

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:

hiyupbhhhhkigkzblbbbgedvflr

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

Given the following data;

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

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:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

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

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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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:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²