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Alecsey [184]
3 years ago
12

| 5x -2y | - | 3x | if x = -3 and y = 2

Mathematics
2 answers:
Irina-Kira [14]3 years ago
7 0
|(5)(-3)-(2)(2)|-|(3)(3)|
= 10
Natalka [10]3 years ago
5 0

Answer:

If x = -3 and y = 2, then |5x-2y|-|3x| = 10

Step-by-step explanation:

This is a problem that utilizes both substitution and the order of operations.

|5x-2y|-|3x| = \\|-15-(2)(2)|-|(3)(-3)| =\\ |-15-4|-|(3)(-3)| =\\|-19|-|(3)(-3)| =\\19-|(3)(-3)| =\\19-|-9| =\\19-9 =\\10


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Simplify <br><br> 4 - 8 multiply 3/4 + 1/4
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If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement
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Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

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