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3 years ago

What is the slope of the line represented by the equation y= -1/2x+1/4

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

For this case we have an equation of a line of the form:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We have the equation:

$y = - \frac {1} {2} x + \frac {1} {4}$

So, we have:

$m = - \frac {1} {2}\\b = \frac {1} {4}$

Answer:

The slope is $- \frac {1} {2}$

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(Show your working) I uploaded the question

svlad2 [7]

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

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3 years ago

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Brrunno [24]

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Step-by-step explanation:

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garik1379 [7]

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3 years ago

Write an equation to represent the measures of the angles

marin [14]

Answer:

x = 72

Step-by-step explanation:

These angles are complementary so they add up to 90:

x + 18 = 90

x = 90 - 18

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3 years ago

Solve for x and y

bekas [8.4K]

Answer:

x = 2√2

y = 2√6

Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

(blue triangle = red triangle)

⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

⇒ 4² + (2√2)² = y²

⇒ y² = 24

⇒ y = √24

⇒ y = 2√6

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2 years ago