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fgiga [73]
3 years ago
13

Directions: Complete each proof using the properties of equality. Not all rows be used.

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

The answers for 13 and 14 are attached in the file.

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Find p and q for which the linear eqn has infinite solutions
jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0
3 years ago
Someone please help! (listing BRAINLIST and giving points) ​:D​
LekaFEV [45]

Answer:

opp/adj

havent u pay attention in ur math class?

you will have to find the opp using a^2+b^2+c^2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the unit rate and slope of the graph (ignore what I put down)
Vilka [71]

Answer:

slope: 5/7

0.714 mile per hour

Step-by-step explanation:

slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)

Mile per hour: 5/7 cross multiply with x/1, make into an equation:

7x=5 x 1

7x = 5

x = 0.714

7 0
2 years ago
8 cm
Sergio039 [100]

Answer:

320 cm³

Step-by-step explanation:

none of the above

8 × 10 × 4

80 × 4

320 cm³

6 0
3 years ago
-5+|-15÷(-5) |2(-5) ​
pav-90 [236]

Answer:

The value of this expression is -35.

Step-by-step explanation:

Let's use the order of operations (PEMDAS), to solve this problem.

-5+|-15/-5|*2*(-5)\\-5+3*-10\\-5+-30\\-35

In conclusion, the value of this expression is -35. Hope this helped :D

7 0
3 years ago
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