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3 years ago

What is the slope of a line that is parallel to the x-axis? a. 0 b. 1 c. undefined

Mathematics

1 answer:

dangina [55]3 years ago

7 0

Any horizontal line has a slope of zero because slope = rise over run and the rise of a horizontal line is 0.

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What is the value of x? Round to the nearest tenth. Please Help

Elodia [21]

Answer:

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

$x^2+20.2^2=(14.7+x)^2$ use (a + b)² = a² + 2ab + b²

$x^2+408.04=14.7^2+(2)(14.7)(x)+x^2$ subtract x² from both sides

$408.04=216.09+29.4x$ subtract 216.09 from both sides

$191.95=29.4x$ divide both sides by 29.4

$x\approx6.5\ cm$

7 0

4 years ago

Write 16.3 as a mixed number

GarryVolchara [31]

Answer:

Step-by-step explanation:

The answer is 16 3/10

That's about as mixed as you can get it.

4 0

3 years ago

Read 2 more answers

Based on housing data below which equation can be used to calculate fair housing prices?

VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

$y=mx+q$

where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097$

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

5 0

3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

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

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

3:4 = 15:20. True OR False?

7nadin3 [17]

True.
3 x 5 = 15
4 x 5 = 20

Therefore, 3:4 = 15:20

it is True

hope this helps

3 0

3 years ago

Read 2 more answers