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3 years ago

What is the relationship between perpendicular lines? Include a description of the slopes in your explanation.

Mathematics

2 answers:

victus00 [196]3 years ago

7 0

Answer:

the perpendicular lines are relationship between, through their slopes, if at the time of multiplying them their result is equal to -1

bija089 [108]3 years ago

5 0

Answer:

Perpendicular lines intersect forming right angles, which are 90 degrees. Slopes of perpendicular lines are opposite reciprocals, meaning the product of the two slopes is negative 1.

Which did you include in your response?

Perpendicular lines intersect.

They form right angles (90 degrees).

The slopes are opposite reciprocals.

The product of their slopes equals –1.

Step-by-step explanation:

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Which expression is equivalent to -2(5x – 0.75)?

katen-ka-za [31]

Answer:

0 - 10x + 1.5

Step-by-step explanation:

-2(5x - 0.75)

Expand the bracket

-10x + 1.5

0 - 10x + 1.5 is the equivalent expression

3 0

3 years ago

Read 2 more answers

The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs

IRINA_888 [86]

Answer:

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

v + 3.40c = 266.20
v + c = 103

Subtract these equations.

2.40c = 163.20

Divide both sides by 2.40.

c = 68

Substitute this value for c into the second equation.

v + (68) = 103

Subtract 68 from both sides.

v = 35

The number of vegetarian wraps sold amounted to 35 in total.

3 0

3 years ago

Read 2 more answers

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago

HEY GUYS I NEED HELP ASAP PLZZ! 20 points to the person who can give me the right answer first!!

Ivanshal [37]

Answer:

28 inches of the board

3 0

3 years ago

You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per h

denpristay [2]

Answer:

18/5 miles

Step-by-step explanation:

let d be the mountain dist path

upward biking

x miles - 1 hr

d 45 mins

3x/4 = d

riding down

x+3 - 60 min

d. - 20

(1/3)(x+3) = d

(x+3)/3 = 3x/4

4x+12 = 9x

x = 12/5

d =( 12*3)/(4*5)= 9/5

upward+downward = 2*(9/5) = 18/5

7 0

3 years ago