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3 years ago

Why does the graph of a proportional relationship must pass through the origin (0,0)

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

Answer:

Directly proportional relationships always pass through the origin (0,0). There are other linear relationships that do not pass through the origin.

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Factor as the product of two binomials.<br> 22 + 11x + 18

Dahasolnce [82]

Answer:

11x +40

Step-by-step explanation:

Add 22 and 18 and the result will be as above.

4 0

3 years ago

Selim puts 1 star sticker on each baseball card of his favorite players. The stickers come 9 to a sheet. Selim has 30 favorite p

irakobra [83]

4 sheets
Explanation
30 divided by 9 gives you 3.333333
But you can’t have 3 1/3 of a sticker sheet so you round up to 4 sheets

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3 years ago

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

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3 years ago

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between two points (1, 4) and (5, 2) is

$d=\sqrt{(5-1)^2+(2-4)^2}$

$d=\sqrt{(4)^2+(-2)^2}$

$d=\sqrt{16+4}$

$d=\sqrt{20}$

$d=4.4721359$

Round to the nearest tenth of a unit.

$d\approx 4.5$

Therefore, the distance between two artifacts is 4.5 units.

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3 years ago

Ken started saving for retirement at age 35 with plans to retire at age 70. He invested an average of $600 per month in various

Irina-Kira [14]

The answer is C $499,355.18

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