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Alexxx [7]
3 years ago
13

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fract

ion bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)​

Mathematics
2 answers:
Anit [1.1K]3 years ago
5 0

Answer:

The slope of the graph is equal to 4

Step-by-step explanation:

When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4

Bogdan [553]3 years ago
5 0

Answer:

The slope is 4

Step-by-step explanation:

Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)

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D is true hope this helps
4 0
3 years ago
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If U = {x: X € N, 1 < × < 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

5 0
3 years ago
The quadrilaterals JKLM and PQRS are similar.
Sveta_85 [38]

Answer:

x = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : x = 2 / x

Therefore, \frac{2}{x}=\frac{5}{7}

cross multiply:  14 = 5x

Divide both sides by 5:  x = 2.8

8 0
2 years ago
Match the following definition to the term.
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3 years ago
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
diamong [38]

Q1.  Look at the picture.

C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4

Q2. Look at the picture.

A.\ 4-t

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

3(2)+y=5

6+y=5       <em>subtract 6 from both sides</em>

y=-1\\\\F.\ -1

Q4.

\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right

Substitute (*) to (**):

2m+3(3m-11)=0            <em>use distributive property</em>

2m+(3)(3m)+(3)(-11)=0

2m+9m-33=0       <em>add 33 to both sides</em>

11m=33      <em>divide both sides by 11</em>

m=3

Put the value of m to (*):

n=3(3)-11\\\\n=9-11\\\\n=-2

C. (3,\ -2)

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

w+3w=24

4w=24           <em>divide both sides by 4</em>

w=6\ in

3w=3(6)=18\ in

J.\ 18\ inches


7 0
3 years ago
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