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1 year ago

30 POINTS!!!

Mathematics

1 answer:

Daniel [21]1 year ago

8 0

The unit rate that corresponds to the proportional relationship shown in the given graph above is: 4/3 cm/s.

<h3>How to Find the Unit Rate of a Proportional Graph?</h3>

The unit rate of a proportional graph is determined using the formula below:

k = y/x, where x and y are coordinates of any point on the line.

Thus, to find the unit rate of a proportional graph, pick the coordinates of any point on the line and find k = y/x.

From the given graph, let's pick the indicated point on the line having the coordinates, (12,16). Find k:

Unit rate (k) = 16/12

Simplify

Unit rate (k) = 4/3

Therefore, the unit rate that corresponds to the proportional relationship shown in the given graph above is: 4/3 cm/s.

Learn more about proportional graph on:

brainly.com/question/23318486

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3 years ago

Please solve this for me!! its from khan academy

viva [34]

<u>Given</u>:

The given triangle ABC is a right angled triangle.

The length of AC is 4 units.

The measure of ∠B is 20°

We need to determine the length of BC.

<u>Length of BC:</u>

The length of BC can be determined using the trigonometric ratio.

Thus, we have;

$tan \ \theta=\frac{opp}{adj}$

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3 0

3 years ago

Find the equation of the line with the given properties: passes<br> through (2,3) and (2,9).

Rama09 [41]

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8 0

3 years ago

Co-ordinate Geometry

saul85 [17]

Answer:

The value of a = 14

Step-by-step explanation:

Given

(x₁, y₁) = (2, 4)

(x₂, y₂) = (6, a)

(x₃, y₃) = (-1, 1)

A = 9 sq.units

Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula

$A=\frac{\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|}{2}$

$9=\frac{\left|2\left(a-1\right)+6\left(1-4\right)+-1\left(4-a\right)\right|}{2}$

Multiply both sides by 2

$\frac{2\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|}{2}=9\cdot \:2$

simplify

$\left|2\left(a-1\right)+6\left(1-4\right)-1\left(4-a\right)\right|=18$

As the area is always positive.

$2\left(a-1\right)+6\left(1-4\right)-1\cdot \left(4-a\right)=18$

$2\left(a-1\right)-18-\left(4-a\right)=18$

Add 18 to both sides

$2\left(a-1\right)-18-\left(4-a\right)+18=18+18$

simplify

$2\left(a-1\right)-\left(4-a\right)=36$

$3a-6=36$

$3a=42$

Divide both sides by 3

$\frac{3a}{3}=\frac{42}{3}$

$a=14$

Thus, the value of a = 14

7 0

3 years ago