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3 years ago

Find the slope of the line.

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

The points we can clearly see are (-2,-2) and (0,-3). You have to rise up 2 points and got to the left 4, so the rise over run is 2 over -4. Simplify this to -1/2, so the slope is negative 1/2.

Dovator [93]3 years ago

7 0

Answer:

The slope of the line is $-\frac{1}{2}$

Step-by-step explanation:

To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:

$m=\frac{y2-y1}{x2-x1}$

Defining:

$(x1=-4,y1=-1)$ and $(x2=0,y2=-3)$

Replacing this values in the initial equation, this is:

$m=\frac{-3-(-1)}{0-(-4)}$

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

The slope of the line is $-\frac{1}{2}$

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I NEED HELP PLEASE ASAP!!

sleet_krkn [62]

Option C:

The value of x is 27.

Solution:

Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.

<em>Sum of exterior angles of a polygon = 360°</em>

⇒ 56° + 2x° + 85° + 57° + 4x° = 360°

⇒ 198° + 6x° = 360°

Subtract 198° from both sides of the equation.

⇒ 6x° = 162°

Divide by 6 on both sides, we get

⇒ x° = 27°

⇒ x = 27

The value of x is 27.

Option C is the correct answer.

5 0

3 years ago

400000 + 60000+5,000+100 in words

prisoha [69]

Four hundred-thousand plus sixty-thousand plus five-thousand plus one-hundred.

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4 years ago

Read 2 more answers

The length of a rectangle is twice its width. Find its area, if its perimeter is 7 and 1/3 cm.

laila [671]

Answer:

2.99 cm²

Step-by-step explanation:

<em>(The "..." at the end of the decimal means that number is repeating)</em>

The perimeter of a rectangle is the length around the shape. The equation for a rectangle's perimeter is L + W × 2, with L and W representing length and width, respectively (You multiply the length and width by two because the shape is four-sided, so it has two length sides and two width sides). To find the area of the rectangle, you need to know the individual length and width, so you'll solve for that first.

Since you're only given the perimeter and you know the length is double the width, you'll need to work backwards with this equation. To do this, first divide the perimeter (7 $\frac{1}{3}$ , also written as 7.33...) by 2; this equals 3 $\frac{2}{3\\}$ , also written as 3.66...

Next, you can find the length and width by determining what two numbers multiply to equal 3.66..., with one number being two times larger than the other number. The way I tend to think of this is that if one number is double the other, then the smaller number is one third of the sum of the two numbers (since the smaller number represents one part of the sum, and the other represents two parts of the sum, which is double the smaller number).

Since the length and width combine to be the divided perimeter, 3.66..., that means two thirds of 3.66... is the longer side (the length), and then the one third of 3.66... is the shorter side (the width). This means the length is 2.44... and the width is 1.22...

Finally, you can solve for the perimeter by dividing the perimeter by two and then subtracting the length squared. The written equation looks like this:

A = P $\frac{1}{2}$ - L²