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fiasKO [112]
3 years ago
7

Determine whether the equation represents a direct variation. If it​ does, find the constant of variation. 4y=3x+5

Mathematics
1 answer:
wel3 years ago
3 0

Answer:

Step-by-step explanation:

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Solve the absolute value equation |x| − 2 = 5 to find the distance Mary can walk forward, x, in 5 seconds.
Alisiya [41]

Answer:

x = 7 m and x = −7 m

Step-by-step explanation:

Its a modulus problem

concept

|x|  = x when x>=0

|x| = -x when x < 0

____________________________________

Now given

|x| − 2 = 5

adding 2 both sides

|x| − 2  + 2 = 5 + 2

|x|  = 7

now

x = 7  when x >= 0

x = -7 when x<0

Thus, correct answer is x = 7 m and x = −7 m

7 0
3 years ago
Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
Tems11 [23]

Answer:

Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

  • J(2;5); K(1;1)

             => JK = \sqrt{(1-2)^{2} + (1-5)^{2}  } = \sqrt{(-1)^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • J(2;5); L(5;2)

             => JL = \sqrt{(5-2)^{2} + (2-5)^{2}  } = \sqrt{3^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • K(1;1); L(5;2)

             =>  KL = \sqrt{(5-1)^{2} + (2-1)^{2}  } = \sqrt{4^{2}+1^{2}  } = \sqrt{1+16}=\sqrt{17}

In the triangle QNP, the sides can be calculate as following:

  • Q(-4;4); N(-3;0)

             => QN = \sqrt{[-3-(-4)]^{2} + (0-4)^{2}  } = \sqrt{1^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • Q (-4;4); P(-7;1)

   => QP = \sqrt{[-7-(-4)]^{2} + (1-4)^{2}  } = \sqrt{(-3)^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • N(-3;0); P(-7;1)

             =>  NP = \sqrt{[-7-(-3)]^{2} + (1-0)^{2}  } = \sqrt{(-4)^{2}+1^{2}  } = \sqrt{16+1}=\sqrt{17}

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

7 0
3 years ago
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How do I do this? please help Im stuck on this and I cant understand the concept.
miskamm [114]

Answer:

take the total number of all x variables

6 0
3 years ago
Solve this inequality 3q - 6 &gt; 21
erica [24]
3q - 6 > 21

3q > 27

q > 9
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7. Joe spent of his money and Cara
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Hi how are you doing today Jasmine
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