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Kruka [31]
2 years ago
11

in a plane, line k is parallel to line l and line j is perpendicular to line l. what can you conclude about the relationship bet

ween lines j and k
Mathematics
1 answer:
Sliva [168]2 years ago
4 0
Given that line K is parallel to line L and line J is perpendicular to line L, the relationship between like J and K is also perpendicularity. That is, if lines K and J also meets or intersects at a right angle (90 degrees), similar to how line J and L intersects, then they're said to be perpendicular. 
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If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?
AnnZ [28]

Answer:

B)g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

Step-by-step explanation:

Here, the given functions are:

g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6

Now, g(x) - h(x) is : 

(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+  (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15

⇒(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6) =  3x^3 - 5x^2 - 15x + 15

B) Hence, g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

3 0
3 years ago
A circle has a radius of three. An arc in the circle has essential angle of 20°. What is the length of the arc
Nataliya [291]

Answer:

1.048

Step-by-step explanation:

<em>(thiter \div 360) \times \pi \times diameter</em>

  1. <em>(20 \div 360) \times \pi \times 6</em>
  2. <em>After</em><em> </em><em>calculati</em><em>ng</em><em> </em><em>the</em><em> </em><em>answer</em><em> is</em><em> </em><em>1</em><em>.</em><em>0</em><em>4</em><em>8</em>
6 0
3 years ago
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Shalnov [3]
Have fun but I think it is b and e
5 0
3 years ago
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Alex leaves school to go home. He walks 11 meters North and then 10 meters West. How far is Alex from the school?
yuradex [85]

Answer:

~15 meters away

Step-by-step explanation:

c^2 = a^2+b^2

c^2 = 10^2+11^2

c^2 = 100+121

c^2 = 221

c = \sqrt{221}

c = ~15

3 0
2 years ago
Which of the following ordered pairs represents the solution to the system of equations below?
expeople1 [14]
<span>-3x + 2y = 2  eq (1)

  7x - 3y = 7    eq (2)

Mutiply eq (1) by 3 and eq (2) by 2:

-9x + 6y = 6

14x - 6y = 14

Add th two new equations:

-9x + 14x = 6 + 14

=> 5x = 20

=> x = 20/5

=> x = 4

Now from eq (1)

-3(4) + 2y = 2

=> 2y = 2 + 12

=> 2y = 14

=> y = 14 / 2

=> y = 7

So the ordered pair is (4,7)

Answer: option B. (4,7)
</span>
5 0
3 years ago
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