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3 years ago

Which phrase best describes the graph of a proportional relationship

Mathematics

2 answers:

Setler [38]3 years ago

4 0

In proportional, it is y/x=k or y=kx
basically it is like y=mx+b, it is a line

Vlad1618 [11]3 years ago

4 0

the complete question is

Which phrase best describes the graph of a proportional relationship?

A.a straight line passing through the origin

B.a straight line

C.a curve

D.not a straight line

we know that

A relationship between two variables, x, and y, represent a proportional relationship (direct variation) if it can be expressed in the form

$\frac{y}{x}=k\\ or\\ y=kx$

the equation $y=kx$ is a straight line passing through the origin with slope equal to k

therefore

the answer is the option

A.a straight line passing through the origin

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Simplify the variable expression by evaluating it's numerical part m-13+42-6

goldfiish [28.3K]

ANSWER

$m + 23$

EXPLANATION

The given expression is

$m - 13 + 42 - 6$

We regroup the numerical parts to get;

$m + 42 - 6 - 13$

Now let us simplify the negative numbers.

$m + 42 - 19$

We now subtract 19 from 42 to get;

$m + 23$

We can't simplify further

Hence the simplest form is:

$m + 23$

3 0

3 years ago

I need help on number 4. Please help me!

Andreas93 [3]

S= R- 1/3R

The first problem s=18 r-= 6
This is how it works

Use S-= R-1/3R
12= 18-1/3(18)
12= 18-6
12=12

8 0

3 years ago

In 1911, the temperature in Rapid City,

Sliva [168]

The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F

<h3>How can the change in temperature be found from the rate of change?</h3>

The rate at which the temperature changed = 3.1 °F/min

The duration of the change in temperature = 15 minutes

The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

$3.1 ^{\circ} F/min = \frac{ \delta T }{\delta t} = \frac{ \Delta T }{ \Delta t}$

Where;

∆T = The required change in temperature

∆t = The duration of the change = 15 minutes

Which gives;

∆T = 3.1°F/min × 15 minutes = 46.5 °F

The change in temperature, ∆T = 46.5 °F

Learn more about the rate of change of a variable here:

brainly.com/question/10208814

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8 0

1 year ago

Find the volume of this composite figure and explain how you got your answer

Damm [24]

To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.

We get the volume of the cuboid by multiplying the base by the width by the length:

Volume of cuboid = 6 x 6 x 4
= 144m³

Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.

Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
-------------------------------------------------------------------------------------------------------------
Answer:
Now that we know the two volumes, we simply add them together:

144 + 96 = 240m³

So the volume of the composite sold is 240m³

7 0

3 years ago

Line ℓ1 has the equation

aleksley [76]

Answer:

$\sqrt{2}$ units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

$\frac{|3 + 0 - 5|}{\sqrt{1^{2}+ 1^{2}}} = \frac{2}{\sqrt{2}} = \sqrt{2}$ units (Answer)

We know that the perpendicular distance from any external point ( $x_{1},y_{1}$ ) to a given straight line ax + by + c = 0 is given by the formula $\frac{|ax_{1} + by_{1} + c|}{\sqrt{a^{2} + b^{2}}}$ .

3 0

3 years ago