Simplify. 2u^2-2/ u^2-3u+2

What is a proportion

Anit [1.1K]

<span>A number considered in comparative relation to a whole.</span>

5 0

2 years ago

Read 2 more answers

Part ion even know of the hardest test

ladessa [460]

Given:

The equation of a line is:

$y=-\dfrac{5}{7}x+2$

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is the y-intercept.

We have,

$y=-\dfrac{5}{7}x+2$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{5}{7}$

We know that the product of slopes of two perpendicular lines is always -1.

$m_1\times m_2=-1$

$-\dfrac{5}{7}\times m_2=-1$

$m_2=\dfrac{7}{5}$

Slope of the required line is $\dfrac{7}{5}$ and it passes through the point (-5,-3). So, the equation of the line is:

$y-y_1=m_2(x-x_1)$

$y-(-3)=\dfrac{7}{5}(x-(-5))$

$y+3=\dfrac{7}{5}(x+5)$

Using distributive property, we get

$y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)$

$y+3=\dfrac{7}{5}x+7$

$y=\dfrac{7}{5}x+7-3$

$y=\dfrac{7}{5}x+4$

Therefore, the equation of the line is $y=\dfrac{7}{5}x+4$ . Hence, option A is correct.

4 0

2 years ago

The diagram shows a rhombus inside a regular hexagon work out the angle x

kvv77 [185]

Answer:

Step-by-step explanation:

The rest of the question is the attached figure.

And it is required to find the angle x.

As shown, a rhombus inside a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

The rhombus have 2 obtuse angles and 2 acute angles.

one of the obtuse angles of the rhombus is the same angle of the regular hexagon.

So, the measure of each acute angle of the rhombus = 180 - 120 = 60°

So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.

So,

60 + x = 120

x = 120 - 60 = 60°

<u>So, the measure of the angle x = 60°</u>

6 0

2 years ago

What is the slope of line a? <br><br>

emmainna [20.7K]

<h3>Answer: -1/4 (choice C)</h3>

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Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

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Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

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Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

5 0

1 year ago

Brad bought a used bike for $8 more than half of its original price. Brad paid $40 for the bike. What was the original price?

Viefleur [7K]

$\huge\boxed{\$64}$

Start by writing a formula, where $x$ is Brad's purchase price and $y$ is the original price.

$40=8+\frac{y}{2}$

Subtract $8$ from both sides.

$32=\frac{y}{2}$

Multiply both sides by $2$ .

$\boxed{64}=y$

7 0

2 years ago