50 POINTS PLEASE HELP!!!!!!!!!!!!!
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes. Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready? Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

Given:

Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).

To find:

The intersection of the diagonals of square ABCD.

Solution:

We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.

In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.

We can find midpoint of either AC or BD because both will result the same.

Midpoint of A(-4,6) and C(4,-2) is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(0,2\right)[/tex]

Therefore, the intersection of the diagonals of square ABCD is (0,2).

Answer:

Step-by-step explanation:

Step one:

given

Let the number of tests graded be g = 27

time taken t = 3 hours

Required

The constant relating the time and the number of tests

Step two:

"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."

so that the direct variation is

g∝kt

g=t/k

k= g/t

k=27/3

k=9

Answer:

9

Step-by-step explanation:

Since you know that there are 27 tests every three hours then you can divide 27 by 3 to get the constant variation or "test per hour". So then, 27 divided by 3 is 9.

Answer:

900 meters.

Step-by-step explanation:

Trust me. Russian School Of Math answer :)

Answer:

Change your pants

.... um chile anyways

Answer:

proportional

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]

Answer:

The number of dimes in Kiara's collection is 13 more than 5 times the

number of quarters in her collection. Kiara has 78 dimes in her

collection.

is the right answer.

Answer:

6x 2y

x = 4

Step-by-step explanation:

Answer:

f(x) = 5/3 x - 2/3

Step-by-step explanation:

5x - 3y = 2

3y = 5x -2

y = 5/3 x - 2/3

f(x) = 5/3 x - 2/3

Answer: 2/25

Step-by-step explanation:

Answer:

x+x-63=637 solve for x

2x=700 divide each side by 2

x=350

so 350 adult and 350-63=287 student

your answe is

287

Answer:

59

Step-by-step explanation:

value in a expansion is 5

expansion

simplistic form

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

Step-by-step explanation:

The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.

Hence point D must be coplanar as it is on the same face.

Point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The rectangular prism is given in the picture.

The rectangular prism is a three-dimensional figure.

As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

The cuboid can be defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape.

Thus, point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Original Price = 75 cents  New Price = 81 cents, % increase = ?

% increase = 81 - 75/75 × 100%

% increase = 6/75 × 100%

% increase = 8% ( Ans)

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

Answer:

n = -11

Step-by-step explanation:

Assuming you need to solve for n:

12 - n = 23 (Given)

-n = 11 (Subtract 12 on both sides)

n = -11 (Divide -1 on both sides)

Answer:

n = -11

Step-by-step explanation:

Since 2 negatives create a positive, 12 - -11 would turn into 12 + 11 = 23

Answer:

y=2/3  x=-5/3

Step-by-step explanation:

Answer:

100.48 ft

Step-by-step explanation:

Answer  

wjiehnjshude

Step-by-step explanation:

Answer:Its B//////////////////////////.,,,

Answer: A

Step-by-step explanation: The number can be read in many ways, but this is more proper way.

Answer:

f(-2) = 9

Step-by-step explanation:

Given that,

f(x) = x² + x + 7

We need to find the value of f(-2).

Put x = -2 in the given function.

f(-2) = (-2)² + (-2) + 7

= 4-2+7

= 9

Hence, the value of f(-2) is equal to 9.

Answer:

longest side of a right-angled triangle,

Step-by-step explanation:

Answer:

where is the picture

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

plato/edmentum

Answer:

105°

Step-by-step explanation:

Answer:

X=105 degrees

Step-by-step explanation:

180-50-80=50degrees

angle to the bottom left of X is 50degrees

180-90-65=25degrees

angle to the bottom right of X is 25 degrees

180-25-50=105 degrees

X=105degrees

Answer:

The lateral area is 144 ft^2

The Total surface area is 156ft^2

Step-by-step explanation:

:)

Answer:

6, 12, 144, 156

Step-by-step explanation:

The area of each triangular base is:  A = 1/2(b)(h)  A = 1/2(3)(4)  A =  6  ft2

There are two bases, so total base area is  12  ft2.

The lateral area is:  A = (12)(3)  + 12(5) + 12(4)  A =  144  ft2

The total surface area is 156  ft2.

Answer:

Step-by-step explanation:

Non of them are

Answer:

5.20

Step-by-step explanation:

X : ______ 8 ____ - 4

P(X) : ___ 0.75 __ 0.25

The expected mean E(x) :

E(x) = ΣX / n

n = sample size = 2

E(x) = (8*0.75) + (-4*0.25)

E(x) = 6 - 1

E(x) = 5

The standard deviation : sqrt(Var(x))

Var(x) = Σx²p(x) - E(x)²

Var(x) = (8^2 * 0.75) + (-4^2 * 0.25)) - 5^2

Var(x) = ((64 * 0.75) + (16* 0.25)) - 25

Var(x) = (48 + 4) - 25

Var(X) = 27

Standard deviation = sqrt(27)

Standard deviation (x) = 5.1961524

Standard deviation = 5.20