All categories

2 years ago

Which equation represents the vertical line passing through (14,-16)?.

1 answer:

6 0

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

Points (x, y) = (14, -16)

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

$y=mx+b$

Where:

x and y are the points.

m is the slope.

b is the intercept.

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

You might be interested in

Is there a relation between the age difference between husband/wives and the percent of a country that is literate? Researcher

Xelga [282]

Answer:

$y = \beta_1 x + \beta_o$

With $\beta_1$ representing the slope we have that:

$\hat \beta_1 = -0.0437$

$\hat \beta_o = 7.5$

And we are interest on this case the interpretation about the slope and we can conclude that:

For every unit increase in literacy rate (percent of the population that is literate) the age difference (husband minus wife age) falls by 0.0437 units, on average.

Step-by-step explanation:

For this case we have that the regression model adjusted between age difference (husband minus wife age) representing the y variable and literacy rate (percent of the population that is literate) representing the variable x is given by:

$y= -0.0437 x + 7.5$ where $17 \leq x\leq 100$

And we know that the method used in order to adjust the regression line was least squares.

For this case our dependent variable is y = age difference (husband minus wife age) and the independent variable is x=literacy rate (percent of the population that is literate)

If we compare the regression model adjusted with the linear regression model:

$y = \beta_1 x + \beta_o$

With $\beta_1$ representing the slope we have that:

$\hat \beta_1 = -0.0437$

$\hat \beta_o = 7.5$

And we are interest on this case the interpretation about the slope and we can conclude that:

For every unit increase in literacy rate (percent of the population that is literate) the age difference (husband minus wife age) falls by 0.0437 units, on average.

3 0

3 years ago

What is the surface area of this square pyramid?

Otrada [13]

Answer:

33 ft²

Step-by-step explanation:

The formula for the surface area of a square pyramid is:

SA = b² + 2bs

Where b is the measure of the base and s is the slant height

Let's substitute into this equation:

SA = b² + 2bs

SA = 3² + 2(3)(4)

Solve:

SA = 3² + 2(3)(4)

Square 3:

SA = 3² + 2(3)(4)

SA = 9 + 2(3)(4)

Multiply:

SA = 9 + 2(3)(4)

SA = 9 + (6)(4)

SA = 9 + 24

Add:

SA = 9 + 24

SA = 33

Therefore, the surface area is 33 square feet.

8 0

4 years ago

For each mile that Jason runs, Meagan runs 1/4 Mile farther. If Jason ran 6 miles,how far did Megan run ?

Darina [25.2K]

6/1 × 1/4 = 6/4
6/4 = 1 2/4 = 1 1/2
6 + 1 1/2 = 7 1/2
Meagan ran 7 1/2 miles.

8 0

3 years ago

What is the y-value of sin(x) when x = 30°

Sonja [21]

The sine of 30° is 0.5 .

Angles don't have y-values, and neither do their sines. But
IF you draw a graph of the sine function, AND the angles
(the independent variable) are marked off on the x-axis of
the graph, AND the value of the sine function of each angle
(the dependent variable) is marked off on the y-axis of the
graph, THEN the y-value corresponding to the angle of 30°
would be displayed as 0.5 .

6 0

3 years ago

Hey, It's your lucky day bcos you'll get 50 points for free.Type anything in the answer box to claim

Tpy6a [65]

Answer:

what?

Step-by-step explanation:

6 0

2 years ago