what is the distance between (-4,7) and (8,-9)

2 is a prime number and a integer

24 is a whole number and an integer

1 is an integer and a whole number

0 is a rational, whole, integer and real number

and seven is a whole and integer

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

Answer:

2/1

Step-by-step explanation:

Answer: The sum of three consecutive even integers is 24. The integers are 6 (from the x) , 8 (from the x + 2), and 10 (from the x + 4).

Step-by-step explanation:

Answer:

1. $336

2.$345.6

Step-by-step explanation:

First off the first machine is cheaper because of the 30% off of the total price rather than 20 off the price then another 10 percent off that price.

mine says marked down by 30. then 10. then 20

Answer:

2

the answer is 2 coz it's like terms

Answer:

Surface area of a cube = side * side * 6

632 = side * side * 6

side^2 = 632/6

side^2 = 105.3333333333

side = 10.2632028789

********************************************

For a 5 inch side

volume = 5 * 5 * 5

= 125 cubic inches

surface area = 5 * 5 * 6

surface area = 150 square inches

Step-by-step explanation:

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Answer:

$18.30

Step-by-step explanation:

100 - 26.80 = 73.20

73.20 / 4 = 18.30

Answer:

lesser x =3

greater x=4

lesser x =3

greater x=4

Answer:

15 miles

Step-by-step explanation:

It is given that,

Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.

It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.

It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.

[tex]d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}[/tex]

Hence, Shane is 15 miles from his grandparents' house.

Answer:

x = - [tex]\frac{9}{11}[/tex]

Step-by-step explanation:

Given

- 2(4x + 3) = 3(x + 1) ← distribute parenthesis on both sides

- 8x - 6 = 3x + 3 ( subtract 3x from both sides )

- 11x - 6 = 3 ( add 6 to both sides )

- 11x = 9 ( divide both sides by - 11 )

x = - [tex]\frac{9}{11}[/tex]

Answer: $115

Step-by-step explanation:

From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:

= 70 + 5g

Therefore, the total cost for a party

with 9 guests will be:

= 70 + 5g

= 70 + 5(9)

= 70 + 45

= $115

Answer:

Step-by-step explanation:

5098

Answer:

(0,15)

Step-by-step explanation:

The Y-intercept is when X=0, so plug in x=0 into the given equation. 5(0)+8y=120. Now solve for Y. 8y=120, y=15. So When x=0, y=15: this is the coordinate (0,15).

9514 1404 393

Answer:

Step-by-step explanation:

Translation of a function to the right h units and up k units is accomplished by ...

  g(x) = f(x -h) +k

Here, we have f(x) = |x|, so the translation will be ...

  g(x) = |x -h| +k

or ...

  y = |x -h| +k

__

The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).

__

You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.

1. y = |x +2|

  h = -2, k = 0

  vertex: (-2, 0)

__

2. y = |x -3|

 h = 3, k = 0

  vertex: (3, 0)

_____

Additional comment

This is all about matching patterns. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).

Answer:

D

Step-by-step explanation:

There are 13 balls in all.

6 are white

7 are the rest

7/13

Answer:

27.91 or rounded is 28

Step-by-step explanation:

Answer:

The 2nd option.

Step-by-step explanation:

Since  Angle D is 68 degrees side EF would be the longest.

Side DF is the shortest side it is opposite the smallest angle.

Side EF is in the middle since opposite the next biggest angle.

Side EF is again the longest since Angle D is the biggest at 68 degrees.

Answer:

B

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

...

The solution is Option A.

The inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the total number of DVDs Martin can buy be = A

Now , the equation will be

The price of 1 DVD is = $ 8.50

The price for shipping and handling = $ 5.00

Now , the total amount Martin decides to spend = not more than $ 56

So , the inequality equation will be

8.50A + 5 ≤ 56

On simplifying the equation and solving for A , we get

Subtracting 5 on both sides of the equation , we get

8.50 A ≤ 51

Divide by 8.50 on both sides of the equation , we get

A ≤ 51 / 8.5

A ≤ 6 DVDs

So , the value of A should be less than or equal to 6

Hence , the inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

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Answer:

Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as;

f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260

WE need the degree and the leading coefficient to determine the behavior.

Since our leading coeffeicent has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Learn more about function here:

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Answer: the slop should be -1/2 not sure tho

Step-by-step explanation:

Answer:

D) Isosceles

Step-by-step explanation:

An isosceles triangle is the triangle that has 2 sides that are the same.

Answer:

x = -1, x = 3/8

Step-by-step explanation:

8x² + 5x - 3 = 0

8x² + 8x - 3x -3 = 0

8x(x + 1) -3(x + 1) = 0

(8x - 3)(x + 1) = 0

First x

8x - 3 = 0

8x = 3

x = 3/8

Next x

x + 1 = 0

x = -1

Answer:

C

Step-by-step explanation:

It is C because multiplying exponents means you add the top number while dividing means subtract.

Answer:

Its C

Step-by-step explanation: