(10x^2+3x+9)+(5x^2+x+4) (10x 2 +3x+9)+(5x 2 +x+4)

ASAP Please answer fast!!!!!!

leonid [27]

The difference between relation and function is described

Solution:

Let us first understand about relation and function

A relation is a set of inputs and outputs that are related in some way.

When each input in a relation has exactly one output, the relation is said to be a function.

To determine if a relation is a function, we make sure that no input has more than one output

Every function is a relation ,but every relation doesn't represent a function

Example:

R = {(2, x), (9, y), (2, z)}

It is not function as “2” is input for both x and z

F = {(2, x), (9, y), (5, x)} is a function because all the first elements are different.

Differences:

Relation:

A relation is a relationship between sets of values

A relation is denoted by “R”

Every relation is not a function.

Functions:

A function is a relation in which there is only one output for each input.

A function is denoted by “F” or “f”

Every function is a relation.

7 0

3 years ago

For the given line segment, write the equation of the perpendicular bisector.

Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the midpoint of the segment.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the slope (m₁) of the segment

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the slope (m₂) of the perpendicular bisector

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the intercept of the perpendicular bisector

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b Multiply each side by 10

-15 = 32 + 10 b Subtract 32 from each side

-47 = 10b Divide each side by 10

b = -47/10

===============

Step 5. Write the equation for the perpendicular bisector

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0

4 years ago

Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.

loris [4]

The answer is a.)(x - 4)2 = 3.

(x - a)² = b can be expressed as:
x² - 2ax + a² = b ⇒ x² - 2ax + a² - b = 0

Our equation is x² - 8x + 13 = 0.
The general formula is x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13 ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3

4 0

3 years ago

What integer divided by six, less eighteen, is negative twenty-two?

nadya68 [22]

Do you mean the integer is less than eighteen or do you mean minus 18?

7 0

4 years ago

In a scale model of a table, 1 centimeter represents 8 inches.

Trava [24]

Answer:

(a): 6 centimeters

(b): 72 inches

Step-by-step explanation:

Rule: From centimeters to inches, multiply centimeters × 8

so from inches to centimeters, divide inches by 8

Scale:

1 cm : 8 in

? cm : 48 in

6 cm : 48 in

Scale:

? in : 9 cm

72 in : 9 cm

8 0

3 years ago