Write a numerical expression for: twenty-seven less than the quotient of fourteen and seven.

Please help this is very important

alexandr1967 [171]

Answer:

Here's what I get.

Step-by-step explanation:

1. Rotate 180° about origin

The formula for rotation of a point (x,y) by an angle θ about the origin is

x' = xcosθ - ysinθ

y' = ycosθ + xsinθ

If θ = 180°, sinθ = 0 and cosθ = -1, and the formula becomes

x' = -x

y' = -y

The rule is then (x, y) ⟶ (-x, -y).

H: (-3, -5) ⟶ (3, 5)

J: (-5, -3) ⟶ (5, 3)

Q: (0, -1) ⟶ (0, 1)

The vertices of H'J'Q' are (3, 5), (5, 3), and (0, 1).

2. Rotation 90° counterclockwise about origin

cos90° = 0 and sin90° = 1

x' = xcos90° - ysin90° = -y

y' = ycos90° + xsin90° = x

The rule is then (x, y) ⟶ (-y, x).

B: (4, 5) ⟶ (-5, 4)

L: (5, 0) ⟶ (0, 5)

S: (2, 2) ⟶ (-2, 2)

The vertices of B'L'S' are (-5, 4), (0, 5), and (-2, 2).

3. Rotation 90° clockwise about origin

cos(-90°) = 0 and sin(-90°) = -1

x' = xcos(-90°) - ysin(-90°) = y

y' = ycos(-90°) + xsin(-90°) = -x

The rule is then (x, y) ⟶ (y, -x).

F: (1, -5) ⟶ (-5, -1)

H: (-2, -3) ⟶ (-3, 2)

U: (-4, -5) ⟶ (-5, 4)

The vertices of F'H'U' are (-5, -1), (-3, -2), and (-5, 4).

4. Rotate 180° about origin

The rule is (x, y) ⟶ (-x, -y).

J: (1, -1) ⟶ (-1, 1)

V: (2, 0) ⟶ (-2, 0)

Y: (5, -3) ⟶ (-5, 3)

R: (4, -3) ⟶ (-4, 3)

The vertices of J'V'Y'R' are (-1, 1), (-2, 0), (-5, 3), and (-4, 3).

The figures below show your shapes before and after the rotations.

7 0

2 years ago

First person to answer what 4585 times 5645 CORRECT first gets brainiest

PIT_PIT [208]

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

3 0

3 years ago

Read 2 more answers

Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient

ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

$=9 \times x\\= 9x$

The quotient of that number and 5.

$= \frac{x}{5}$

The difference between both expression;

$9x - \frac{x}{5}$

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as $9x - \frac{x}{5}$

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

$\frac{n}{12}$

Eight more than the resulting function is;

$\frac{n}{12}+8$

Hence eight more than the quotient of twelve and a number n is expressed as $\frac{n}{12}+8$

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

$6-x$

product of a number x and the quantity 'six minus the number is;

$x(6-x)$

quotient of eight and the number is;

$\frac{8}{x}$

Taking the resulting sum of the last two expression

$x(6-x) + 8x$

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

$x(6-x) + 8x$

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

$= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)$

4 0

3 years ago

What is the area of a rectangles with the side lengths 5 inches and 1/3 inches?

sveticcg [70]

Answer:

area of a rectangle is length multiplied by breath, which is the multiplication of 5 an 1/3

3 0

3 years ago

Question 4 of 5

9966 [12]

Answer: The graph crosses the x-axis at x = 2.

Step-by-step explanation:

The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.

3 0

2 years ago