All categories

3 years ago

What is the equation of a line through the points (0, 9) and (3, 0)?

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

x/(x-intercept) +y/(y-intercept) = 1

x/3 +y/9 = 1

Multiplying by 9 gives ...

3x +y = 9

This can be rearranged to the slope-intercept form ...

y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

kakasveta [241]3 years ago

4 0

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

You might be interested in

If ef = 19 and fg = 12 then ef = ???

vesna_86 [32]

Ef=19, as given in the question.

4 0

2 years ago

I don’t know what she did wrong I can’t find anything

Dovator [93]

Answer:

she subtracted the 5 instead of adding it

Step-by-step explanation:

3 0

3 years ago

doug got 8 out of 10 questions correct on his math quiz. If each question was worth the same number of points, and the test was

melamori03 [73]

Answer:

Each answer correct is 5 points so Doug got 40 points.

Step-by-step explanation:

5 0

2 years ago

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0

2 years ago

Can someone please help me ASAP

ElenaW [278]

Answer:

Step-by-step explanation:

3 0

2 years ago