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3 years ago

The figure below shows a line graph and two shaded triangles that are similar:

Mathematics

2 answers:

VLD [36.1K]3 years ago

4 0

Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.

sineoko [7]3 years ago

3 0

Answer:

The slope is fraction negative 1 over 2 throughout the line.

Step-by-step explanation:

The slope (m) of a line is computed as follows

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

where (x1, y1) and (x2, y2) are the coordinates of 2 points of the line. Taking, for example, points (0, 0) and (-4, 2), the slope is:

m = (2 - 0)/(-4 -0) = -1/2

Then, the slope is -1/2 throughout the line.

You might be interested in

Write a linear equation in standard form for the line that goes through (2, -3)

Kaylis [27]

9514 1404 393

Answer:

C. x -2y = 8

Step-by-step explanation:

One way you can do this is to use the form ...

(Δy)(x -x1) -(Δx)(y -y1) = 0

where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1

This gives ...

(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in

x -2y -8 = 0 . . . . . . . general form

x -2y = 8 . . . . . . . . . standard form

_____

Additional comment

You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.

Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.

The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0$

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B2%7D%20%20%3D%2030%20%5Ctimes%2043x" id="TexFormula1" title=" {8}^{2} = 30 \t

Anarel [89]

Answer:

Step-by-step explanation:

8² = 30 * 43x

x = 8² / 30 * 43 = 8* 8 / 30*43

= 2*2*2 * 2*2*2 / 3*2*5*43

=2*2*2*2*2/ 3*5*43

= 32/645

5 0

3 years ago

Help Please !

Mamont248 [21]

The answer is Sum of Cubes.

Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.

Let's check it out.
Sum of cubes can be expresses as:
a³ + b³ = (a + b)(a² - ab + b²)

Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2

Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133

Therefore, sum of cubes is the right answer.

6 0

4 years ago

suppose there were 2 types of tickets to a show . advanced and same day adviced cost $30 . same day $25. for 1 performance 45 ti

VikaD [51]

30 x 30 + 25 x 15 = $1275

So,
30 tickets were sold from the $30 type, while 15 tickets were sold from the $25 type!

7 0

3 years ago

What is the apothem of the regular octagon below?

nadezda [96]

Uhh 450 if my calculator is doing it right

4 0

3 years ago