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2 years ago

A + 8 = 19 . Find the value of a.

Mathematics

1 answer:

Elza [17]2 years ago

4 0

Answer:

a = 11

Step-by-step explanation:

a + 8 = 19

=> a = 19 - 8

=> a = 11

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1. -4x + 5 = 2x - 7 2. 6x - 8 = 4x + 2 3. -3x - 5 = 2x + 10

Svetllana [295]

Answer: 1. x=2

2. x=5

3.x=-3

Isolate the variable by dividing each side by factors that don't contain the variable.

Move all terms not containing x to the right side of the equation.

Hope this helped

7 0

3 years ago

Type the correct answer in each box. (____)

trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8) mm

V = 1024π mm³

Calculations:

1. Find the cubic equation

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²

1024 = x(x² - 16x + 64)

1024 = x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the rational roots theorem, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1 -16 64 -1024

| 16 0 1024

1 0 64 0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0 x² + 64 = 0

x = 16 x² = -64

x = ±8i

There is only one real root: x = 16 mm

6 0

3 years ago

allen has a debt of 500$.He owes equal amounts to 10 different people. Express his debt to one person as a negative number.

SOVA2 [1]

-50 because if he owes 10 different people the same amount it would be -50 because he owes them money

4 0

2 years ago

Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

mixer [17]

Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)

they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour

5 0

3 years ago

A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees

Nostrana [21]

The Question is incomplete the Complete Question is

Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?

Answer:

Therefore the value of tan x is

$\tan x=\dfrac{4}{3}$

Step-by-step explanation:

Given:

hypotenuse = 10 cm'

side adjacent to the acute angle 'x' = 6 cm.

side opposite to the acute angle 'x' = 8 cm.

To Find:

tan x = ?

Solution:

In Right Angle Triangle , Tan Identity we have

$\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}$

Substituting the values we get

$\tan x= \dfrac{8}{6}=\dfrac{4}{3}$

Therefore the value of tan x is

$\tan x=\dfrac{4}{3}$

4 0

3 years ago