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WITCHER [35]
4 years ago
5

rmula1" title="\left \{ {{50x-2y=230} \atop {50x-3y=170} \right." alt="\left \{ {{50x-2y=230} \atop {50x-3y=170} \right." align="absmiddle" class="latex-formula">


combination method
Mathematics
1 answer:
grin007 [14]4 years ago
5 0

Answer:

x = 7, y = 60

Step-by-step explanation:

Given the 2 equations

50x - 2y = 230 → (1)

50x - 3y = 170 → (2)

Subtract (2) from (1) term by term on both sides

y = 60

Substitute y = 60 into either of the 2 equations and evaluate for x

Substituting into (1)

50x - 2(60) = 230

50x - 120 = 230 ( add 120 to both sides )

50x = 350 ( divide both sides by 50 )

x = 7

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Solve the following quadratic equation.
Nonamiya [84]

Given:

Consider the given equation is

(x-18)^2=1

To find:

The values of x.

Solution:

We have,

(x-18)^2=1

Taking square root on both sides, we get

x-18=\pm\sqrt{1}

x-18=\pm 1

Adding 18 on both sides, we get

x-18+18=\pm 1+18

x=\pm 1+18

Now,

x=1+18 and x=-1+18

x=19 and x=17

Therefore, the correct option is A.

5 0
3 years ago
What is the length of PQ⎯⎯⎯⎯⎯?
Otrada [13]

Answer: ≈ 5.2

Step-by-step explanation:

You're gonna want to use the Law of Cosines to solve:

c² = a² + b² -2abcos(R)

c² = 6² + 9² - 2(6)(9)cos(34°)

c² = 36 + 81 - 108cos(34°)

c² = 117 - 108(.82904)

c² = 27.46368

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7 0
4 years ago
The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
IgorC [24]

Answer:

  • 15 m

Step-by-step explanation:

<em>Refer to attached picture</em>

  • The height  = h
  • Angles of elevation 22.6° and 38.3°
  • Closer distance  = d

<u>Use tangent to solve</u>

  • tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
  • tan 38.3° = h/d          ⇒ h = d tan 38.3°           ⇒ h = 0.79d

<u>Compare the equations above and find the value of d:</u>

  • 0.42(d + 17) = 0.79d
  • 0.42d + 7.14 = 0.79d
  • 0.79d - 0.42d = 7.14
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<u>Now find the value of h:</u>

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Wave Rock is 15 m tall

3 0
3 years ago
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tatuchka [14]

Answer:

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Step-by-step explanation:


3 0
3 years ago
Graph the direct variation of y=1.5x. Using the graph find several integer values of x for which the values of y are positive
Vesna [10]

Answer:

y=-3

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you substitiue y value, then you divide both sides by -1.5 and you get 2 for x.

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you substitute y value, then again you divide both sides by -1.5 and you get 3.

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y=6

6=-1.5x

same thing for this last one. then once again divide by -1.5 and you get -4.

(-4,6)

Step-by-step explanation:

7 0
3 years ago
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