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3 years ago

Raul simplified the expression, as shown below.

Mathematics

2 answers:

Yuliya22 [10]3 years ago

7 0

Answer:

he should have worked out 7h(2 - h) first before adding the 3h. (first step)

2nd step he multiplied the 2 by -10h but he also should have multiplied the -h by the -10h ( Distributive law)

Step-by-step explanation:

Got it right on edge

Softa [21]3 years ago

4 0

Answer:

Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).

Step-by-step explanation:

Distributive property:

The distributive property of multiplication is:

a*(b + c) = a*b + a*c

Precedence of operations:

First multiplication, then addition.

Multiplication of terms with the same base:

The multiplication of h*h = h², which Raul missed.

The correct simplification is given by:

$-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h$

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V2=u2+2as v 2 = u 2 + 2 a s Where v v is the final velocity (in m/s), u u is the initial velocity (in m/s), a a is the accelerat

allsm [11]

Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

$v^2=u^2+2as$

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/ $s^2$

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

$v^2=u^2+2as$

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

$v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s$

So, the answer is:

final velocity, v = 21.75 m/s

5 0

3 years ago

A rectangular garden has a perimeter of 174 feet. The length is 9 feet more than twice the width. Find the length and the width.

serg [7]

Rectangle : 4 sides

In pairs are the same size.

174 ÷ 2= 87

87-9= 78

78 ÷ 2= 39

174-78= 96

96 ÷ 2= 48

Answer :

39 and 48

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3 years ago

Round value of x. Round the answer to the nearest tenth.

Mrrafil [7]

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 25

With ∠ 31 degrees as the reference angle,

the adjacent side of the right angle triangle is the unknown side.

the opposite side of the right angle triangle is x.

To determine x, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 31 = x/25

x = 25Sin31

x = 25 × 0.5150

x = 12.875

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3 years ago

Emma bought 28lbs of soil that is 4 lbs more than twice last week. how many pounds of soul was bought.

Vesnalui [34]

285 pounds was brought

8 0

3 years ago

Somebody help 7x - [4x-3(x-1)]=x+ 12

Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

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3 years ago