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3 years ago

Which equation demonstrates the distributive property?

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

I'm gonna say C )

We have to multiply the number outside the parenthesis by the numbers inside.

pochemuha3 years ago

5 0

Answer: The correct equation is (d). 15 + 40 = 5(3 + 8).

Step-by-step explanation: We are given to select the correct equation from the options that demonstrates the distributive property.

DISTRIBUTIVE PROPERTY: For any three real numbers a, b and c, the distributive property can be written as

(i) a(b + c) = ab + ac,

(ii) (a + b)c = ac + bc.

Out of the given for equations, only equation (d) gives the distribution of 5 over the addition of 3 and 8.

We have, according to the distributive property,

5(3 + 8) = 5 × 3 + 5 × 8 = 15 + 40.

Thus, the correct option is (d).

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If f(x) = 2x + 3 for all values of x, what is the value of f(-3)?

IrinaK [193]

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then f(-3)= -3

7 0

3 years ago

Find x and y in the figure

Grace [21]

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20 =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

5 0

3 years ago

Given the center and radius of a circle, write the equation of the circle.

Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
Simplify: (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

5 0

3 years ago

Please help your sis out!!!!!!!!!!

spayn [35]

You would input 10 as m into the equation
t= 0.05(10) +60
t=0.5+60
t=60.5

7 0

3 years ago

Read 2 more answers

claudia was cooking breakfast for her entire family. she made double the amount of chocolate chips pancakes as she did regular p

iren2701 [21]

Answer:

Step-by-step explanation:

where is the question?

8 0

3 years ago