A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}$

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

4 0

3 years ago

A right triangle's height is 3 times the length of its base. if the area of the triangle is 486, what is the height?

Irina-Kira [14]

The formula of the area of a triangle:
$A_\Delta=\dfrac{bh}{2}$
b - the bash - the height
We have:
b - the base3b - the height486 - the area

Substitute:
$\dfrac{3b\cdot b}{2}=486\ \ \ |\cdot2\\\\3b^2=972\ \ \ |:3\\\\b^2=324\to b=\sqrt{324}\\\\b=16\to h=3b=3\cdot18=54$
Answer: The length of the height is equal 54 units.

4 0

3 years ago

Becky collected this data about the number of boys and girls playing different instruments which answer option best represents t

alekssr [168]

Data? I need the data! Not trying to provoke, but in order to answer this I need data...

4 0

3 years ago

Alecia earned 48 points on the first quiz and 45 points on the second quiz. What's the percent decrease in her quiz score ?

elixir [45]

Answer:

is the 48 and 45 points out of 100?

7 0

2 years ago

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