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3 years ago

Find the slope of the line (-1,9) (9,9)

Mathematics

2 answers:

Strike441 [17]3 years ago

3 0

Slope is equal to change in y over change in x.

9-9/9-(-1)
0/10
0

Slope: 0

olga nikolaevna [1]3 years ago

3 0

The slope is the change in y divided by the change in x.

so we have two points:
<span>(-1,9) and (9,9)

x1=-1
x2=9
y1=9
y2=9

and the slope = (y2-y1)/(x2-x1) = (9-9)/(9+1) = 0

Zero slope means this line is horizontal (parallel to the x-axis)

hope that helps
</span>

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3% of what number is 1.86

Illusion [34]

Answer:

Step-by-step explanation:

Of means multiply and is means equals

.03 * n = 1.86

Divide each side by .03

.03n/.03 = 1.86/.03

n =62

8 0

2 years ago

At the movie theatre, child admission is $5.40 and adult admission is $9.20 . on thursday, twice as many adult tickets as child

Scorpion4ik [409]

33 child tickets were sold that day.

adult tickets = a
child tickets = c

9.2a + 5.4c = 785.4
a = 2c

Substitute a into the first equation
9.2(2c) + 5.4c = 785.4
Simplify
18.4c + 5.4c = 785.4
Combine like terms by adding
23.8c = 785.4
Divide both sides by 23.8 to isolate the variable c
c = 33

8 0

2 years ago

In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music,

aleksley [76]

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

6 0

3 years ago

The area of a rectangle whose perimeter is a fixed 80 feet is given by A=40w - w2 , where w is the width of the rectangle. Deter

Stolb23 [73]

Answer:

Width=20 feet

Since Length=Width=20 feet, the rectangle is a Square.

Step-by-step explanation:

Area, $A=40w - w^2$

To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.

$A'=40 - 2w\\$When A'=0\\40-2w=0\\40=2w\\w=20 feet$

The width of the rectangle that gives the maximum area =20 feet.

Perimeter of a rectangle=2(l+w)

Perimeter of the rectangle=80 feet

2(l+w)=80

2l+2(20)=80

2l=80-40

2l=40

l=20 feet

Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.

7 0

2 years ago

Question 9<br><br> .....................................................................

egoroff_w [7]

Answer:

your answer is D (6.72)

Step-by-step explanation:

substitute x by 4

y = 2.76(4) - 4.4

y = 11.12 - 4.4

y = 6.72

Therefore the option D (6.72) is the correct answer

- hope this helps, if it does click the thanks button to let me know :) -

- have a nice day, be safe & healthy -

6 0

2 years ago