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goldfiish [28.3K]
3 years ago
10

-(-5 - 6x) = 4 (5x +3)

Mathematics
1 answer:
tatiyna3 years ago
6 0

-(-5 - 6x) = 4 (5x +3)

Pretend that there is a -1 in front of the first bracket

-1(-5-6x)= 4(5x+3)

Mutiply the first bracket by -1

(-1)(-5)(-1)(-6x)= 5+6x

Mutiply the second bracket by 4

(4)(5x)(4)(3)= 20x+12

5+6x= 20x+12

move 20x to the other side

5+6x-20x= 20x-20x+12

5+6x-20x= 12

5-14x= 12

move 5 to the other side

sign changes from +5 to -5.

5-5-14x= 12-5

-14x=7

divide by -14

-14x/-14= 7/-14

x= -1/2

Answer: x= -1/2

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*20 pts*
Leno4ka [110]

a.      This is the geometric sequence: a1 = 1.5 m = 150 cm, r = 0.74

The formula now is an = a1 x r ^ n-1

 

Just substitute a1 = 150 cm and r = 0.74

an = 150 x (0.74) ^ n – 1

 

b.      The second part is:

A6 = 150 x 0.74 ^ 6-1

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4 0
3 years ago
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¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Brrunno [24]

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

5 0
3 years ago
Give 1 pair of Vertical and 1 pair of Supplementary angles
mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0
1 year ago
What is the reciprocal of -2/3
ryzh [129]
3/-2

I Hoped I Helped

<span>ΩΩΩΩΩΩΩΩΩΩ</span>
8 0
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bekas [8.4K]

Answer:

6 i believe

Step-by-step explanation:

delete my question if im wrong:)

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