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3 years ago

SOMEONE HELP ???? Select steps that could be used to solve the equation 1+ 3x = -x+4

Mathematics

1 answer:

Alex3 years ago

5 0

Answer:

a) add x , subtract 1 and divide by 4

The solution of given equation $x = \frac{3}{4}$

Step-by-step explanation:

Given equation 1+3 x = -x +4

Add 'x' on both sides , we get

1 + 3 x + x = - x + x +4

1 + 4 x = 4

Subtract '1' on both sides , we get

1+4 x -1 = 4 -1

4 x = 3

Dividing '4' on both sides, we get

$\frac{4x}{4} = \frac{3}{4}$

$x = \frac{3}{4}$

Final answer:-

The solution of given equation $x = \frac{3}{4}$

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PLEASE HELP Complete the table below to find solutions to the linear equation y=5x+35.

Eddi Din [679]

Answer:

x | y | (x,y)

0 | 35 | (0,35)

3 | 50 | (3,50)

-7 | 0 | (-7,0)

Step-by-step explanation:

Given the equation: $y = 5x + 35$ , to complete the table, plug in the value of x given in the table in each row, to find y.

When x = 0,

$y = 5(0) + 35$

$y = 0 + 35$

$y = 35$

(0,35)

When x = 3,

$y = 5(3) + 35$

$y = 15 + 35$

$y = 50$

(3,50)

When x = -7,

$y = 5(-7) + 35$

$y = -35 + 35$

$y = 0$

(-7,0)

6 0

3 years ago

Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the giv

AnnZ [28]

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

$\Delta Sector=\dfrac{1}{2}r^2\theta$

Whereas the area of a circle for a radius r is given as

$\Delta Circle=\pi r^2$

Now the ratio is given as

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}$

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }$

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

6 0

3 years ago

Plz answer this question I need help

spin [16.1K]

This image is not loading therefore no one can answer it

7 0

2 years ago

Is the complement of a congruent angle it’s supplement

Vedmedyk [2.9K]

Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees, so no.

7 0

3 years ago

Find the vertex of the graph of f(x)=-4(x-1)(x+5)

madreJ [45]

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4 · (x - 1) · (x + 5)

f(x) = - 4 · (x² + 4 · x - 5)

f(x) = - 4 · x² - 16 · x + 20

Now we proceed to complete the square:

f(x) = - (4 · x² + 16 · x - 20)

- f(x) = 4 · x² + 16 · x - 20

- f(x) = (2 · x)² + 8 · (2 · x) - 20

- f(x) + 36 = (2 · x)² + 8 · (2 · x) + 16

- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

7 0

1 year ago