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3 years ago

How to convert equations into y=mx+b form??

1 answer:

7 0

So lets say you have 10+2y=2x, first you subract 10 by both sides, now you got 2y=2x-10. Divide all the numbers by 2, and then you got y=x-5.

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Louren measures the distance around her circular mirror to

Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0

3 years ago

Use the points shown on the graph to find the slope of the line.

ella [17]

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Answer: -4/7 count 4 down and 7 across

Explanation:

I hope this helped!

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- Zack Slocum

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8 0

3 years ago

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

7 0

3 years ago

NEED HELP ASAP SOMEONE PLEASE!!!!

Alisiya [41]

Answer: The state with the second lowest population has the lowest population density.

Step-by-step explanation:

Since, Density = Population / Area

The population of state A = 1,055,173

Its area = 2677 square km

Thus, the density of state A = $\frac{1055173}{2677}$ = 394.162495,

The population of state B = 1,333,089

Its area = 36,418 square km

Thus, the density of state B = $\frac{1,333,089}{36,418}$ = 36.6052227,

The population of state C = 3,596,677

Its area = 5543 square km

Thus, the density of state C = $\frac{3,596,677}{5543}$ = 648.868302,

The population of state D =6,745,408

Its area = 10555 square km

Thus, the density of state D = $\frac{6,745,408}{10555}$ = 639.072288,

Since, by the above explanation,

The state in increasing order of the populations,

State A < State B < State C < State D,

Also, the state in increasing order of density,

State B < State A < State D < State C

⇒ Second option is correct.

3 0

3 years ago