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Gnom [1K]
2 years ago
13

40 POINTS Someone please answer question 7 only

Mathematics
2 answers:
likoan [24]2 years ago
8 0
I know y is 31/9
Hope that helps a little
suter [353]2 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

<u>Use distance formula:</u>

  • d = st, where d- distance, s - speed, t - time

a)

<u>Total distance is:</u>

  • 8x + 10y = 70

<u>Solve for x:</u>

  • 8x = 70 - 10y
  • x = (70 - 10y)/8 = (35 - 5y) / 4

<u>Solve for y:</u>

  • 10y = 70 - 8x
  • y = (70 - 8x) / 10 = (35 - 4x) / 5

b)

<u>Average speed is:</u>

  • s(av) = d / t = 70 / (x + y)

c)

<u>The second scenario:</u>

  • 10x + 8y = 72

<u>Combine with the first one and solve the system:</u>

  • 8x + 10y = 70

<u>Solve by elimination as below:</u>

  • 5(10x + 8y) - 4(8x + 10y) = 5*72 - 4*70
  • 50x + 40y - 32x - 40y = 360 - 280
  • 18x = 80
  • x = 40/9

<u>Find y:</u>

  • 10*40/9 + 8y = 72
  • 8y = 72 - 400/9
  • 8y = 248/9
  • y = 31/9

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Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

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Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

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Morgan wants to draw a right triangle two side lengths are 6 unites and 8 units. select all the possible dimensions of the third
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<h3>What is the possible dimension of the third side?</h3>

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

If two side lengths are given, the third side can be determined using the Pythagoras theorem.

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