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3 years ago

1 pts Create an equation of a line that is parallel to y = 4x – 7

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

There are many..

One would be y = 4x + 7

The trick is the slope is always the same. The only difference is the y-int. You could make one yourself, just use 4x at the beginning.

Please give Brainliest!! Hope this helps!!

hram777 [196]3 years ago

4 0

9514 1404 393

Answer:

y = 4x

Step-by-step explanation:

A parallel line will have the same slope. The given line is written in "slope-intercept form", so the slope is readily identified from the equation.

y = mx + b . . . . . line with slope m and y-intercept b

y = 4x -7 . . . . . . line with slope 4 and y-intercept -7

So, the parallel line will be something of the form ...

y = 4x + b

for any value of b. The simplest is to let b=0. If b=-7, then the lines are coincident, not parallel, so that value must be excluded. Any other value of y-intercept will give a parallel line.

y = 4x . . . . . parallel line

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I need this please help me

k0ka [10]

A.) 5/3
B.) 6
C.) undefined
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3 years ago

Factor: 10x^2-15x=0 ?

e-lub [12.9K]

Like every quadratic equation

$ax^2+bx+c=0$

where $c=0$

$ax^2+bx=0$

we can factor out $x$

$x(ax+b)=0$

And find the two solutions

$x=0,\quad x=-\dfrac{b}{a}$

In this case, the solutions are

$x=0,\quad x=\dfrac{3}{2}$

If you know that $x_1,\ x_2$ are the solutions to the quadratic equation

$ax^2+bx+c=0$

then you can factor the poynomial as

$a(x-x_1)(x-x_2)$

So, in this case, you have

$10x^2-15x = 10(x-0)\left(x-\dfrac{3}{2}\right)=10x\left(x-\dfrac{3}{2}\right)$

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4 years ago

Write 2.3181818 as a mixed number

Marina CMI [18]

We convert 2.3181818 to fraction as follows:

Let x = 2.3181818 . . . . . (1)

as can be seen, the repeating digits are 18

Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)

Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)

Subtract equation (3) from equation (2) to get
990x = 2,295

Thus,
$x= \frac{2,295}{990} =2 \frac{7}{22}$

5 0

3 years ago

How do the lengths of line segments define the golden ratio?

NISA [10]

Answer:

$\frac{a+b}{a}=\frac{a}{b}$

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true $\frac{a+b}{a}=\frac{a}{b}$ .

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion $\frac{a+b}{a}=\frac{a}{b}$ .

$\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}$

$\frac{50}{30.9}=\frac{30.9}{19.1}$

1.618 = 1.618

This is the golden ratio.

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4 years ago

Which value of x is in the solution 2|x-3|<4

Roman55 [17]

Answer:

1 < x < 5

Step-by-step explanation:

Inequalities of the type | x | < a , have solution of the form

- a < x < a

Given

2 | x - 3 | < 4 ( divide both sides by 2 )

| x - 3 | < 2 , then

- 2 < x - 3 < 2 ( add 3 to each interval )

1 < x < 5

8 0

3 years ago