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2 years ago

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Mathematics

1 answer:

Sindrei [870]2 years ago

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VMariaS [17]

ASA postulate because theres two angles and the side in the middle

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3 years ago

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a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is

ANTONII [103]

Answer:

$(y-30)=2(x-10)$

Step-by-step explanation:

We have been given that a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is 50 centimeters tall.

First of all we will find slope of our line using given points.

$m=\frac{y_2-y_1}{x_2-x_1}$

Upon substituting coordinates of our given points in slope formula we will get,

$m=\frac{50-30}{20-10}$

$m=\frac{20}{10}=2$

Therefore, slope of our given line is 2.

Since the equation of a line in point slope form is $(y-y_1)=m(x-x_1)$ .

Upon substituting m=2 and coordinates of one point in above equation we will get,

$(y-30)=2(x-10)$

Therefore, the equation that models the height of the plant (y) after x days will be $(y-30)=2(x-10)$ .

5 0

3 years ago

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A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 gra

never [62]

Answer:

the volume is 50x1.8x2

v=180cm³

therefore, density is mass/volume

Step-by-step explanation:

mass =density x volume

mass= 7.8 x 180cm³

mass= 1,404grams

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3 years ago

Write this fraction in index form

expeople1 [14]

Answer:

$7^{-1/5}$

Step-by-step explanation:

$\frac{1}{\sqrt[5]{7}}=\frac{1}{7^{1/5}}=7^{-1/5}$

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1 year ago

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

mamaluj [8]

Answer:

Option C. $y=(3/4)x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Find the value of the constant k

For the point (-8,-6)

$k=y/x=(-6/-8)=3/4$

For the point (12,9)

$k=y/x=(9/12)=3/4$

<u><em>Note</em></u> A single point was required to find the constant k (because the line passes through the origin)

The equation is equal to

$y=(3/4)x$

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3 years ago

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