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3 years ago

Simplify 4(y + 6) + 5y

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

7 0

Answer:

Step-by-step explanation

Use a propriedade distributiva

4(+6)+5

4+24+5y

Combine os termos semelhantes

4+24+5

9+24

Solução

9+24

igomit [66]3 years ago

3 0

Answer:

9y + 24

Step-by-step explanation:

4(y + 6) + 5y

4y + 24 + 5y

9y + 24

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Three right triangles are drawn in the coordinate plane,

SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

Triangle A

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

$SL_{A} = 8 - 5 = 3$

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

$LL_{A} = 2 - (-8) = 10$

Then, the length of the longer leg is 10.

Now, we can find the hypotenuse (H) by using Pitagoras:

$H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4$

Triangle B

The SL is from (3, -9) to (7, -9)

The length of the SL is:

$SL_{B} = 7 - 3 = 4$

The LL is from (7, -9) to (7, 4)

The length of the LL is:

$LL_{B} = 4 - (-9) = 13$

The hypotenuse is:

$H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6$

Triangle C

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

$SL_{C} = -1 - (-6) = 5$

The LL is from (-10, -6) to (-3, -6)

The length of the LL is:

$LL_{C} = -3 - (-10) = 7$

The hypotenuse is:

$H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6$

I hope it helps you!

5 0

3 years ago

What is the Expanded form of 0.068?

balu736 [363]

Six hundredths, and eight thousandths
Maybe...
Point zero six-eight

7 0

4 years ago

Solve each system by substitution. Check your answers. 4x+2y=7 , y = 5x

Kazeer [188]

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7 (equation 1)

y = 5x (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7 (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4

5 0

1 year ago

Solve the equation for y in terms of x 3x-2y=6

Katarina [22]

Answer: 3/2x - 3 = y

Step-by-step explanation:

3x - 2y = 6

+2y = +2y

3x = 6 + 2y

-6 = -6

3x-6 = 2y

/2 = /2

3/2X - 6/2 = y

3/2x - 3 = y

6 0

3 years ago

Are there less than 1 million, exactly 1 million, or greater than 1 million milligrams in 1 kilogram? Explain how you know

NISA [10]

It is exactly one million milligrams

5 0

3 years ago

Read 2 more answers

Simplify 4(y + 6) + 5y​

Simplify 4(y + 6) + 5y