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3 years ago

What makes a graph proportional

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

When the graph of the linear relationship contains the origin, the relationship is proportional. A linear equation is an equation whose solutions are ordered pairs that form a line when graphed on a coordinate plane. A relationship may be linear but not proportional and the graph does not pass through the origin.

Step-by-step explanation:

Alla [95]3 years ago

6 0

Answer

as x increases y increases and the ratio between them always stays the same

Step-by-step explanation:

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I have this problem for hw and it’s due tomorrow. can someone please help me? (it’s y-4 not 4-4)

Vesnalui [34]

Answer:

All real numbers

Step-by-step explanation:

$-2(y - 4) = 20 - 2y - 12$

Start by distributing -2 inside the parentheses.

$-2y + 8 = 20 - 2y - 12$

Combine like terms on the right side of the equation.

$-2y + 8 = 8 - 2y$

Subtract 8 from both sides of the equation.

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3 years ago

the side length of a square with an area of 19 square units is 19 square root. The 19 square roots is an irrational number betwe

elena55 [62]

$\text{We know}\ \sqrt{a}=b\ if\ b^2=a\\\\4 < \sqrt{19} < 5\ \text{because}\\\\4^2 < (\sqrt{19})^2 < 5^2\\\\16 < 19 < 25\to\sqrt{16} < \sqrt{19} < \sqrt{25}$

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2 years ago

ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC

Temka [501]

<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

$\angle BCE=\beta \\ \\ \angle DCE=\theta$

Every internal angle of any rectangle measures 90 degrees, so:

$\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12$

So:

$\beta=4x-23=4(12)-23=25^{\circ}$

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

$\angle EBC=\beta$

The sum of internal angles of any triangle add up to 180 degrees, so:

$\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}$