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valentina_108 [34]
4 years ago
9

-7(2y+12)-6y=156 how am I supposed to solve this and figure out what hat “y” is?

Mathematics
1 answer:
Goryan [66]4 years ago
6 0

Answer:

y = -12

Explanation:

−7(2y + 12) − 6y = 156

Simplify both sides of the equation

−7(2y + 12) − 6y = 156

(−7)(2y) + (−7)(12) + −6y = 156 (Distribute)

−14y + −84 + −6y = 156

(−14y + −6y) + (−84) = 156 (Combine Like Terms)

−20y + −84 = 156

−20y − 84 = 156

Add 84 to both sides

−20y − 84 + 84 = 156 + 84

−20y = 240

Divide both sides by -20

-20y / -20 = 240 / -20

y = -12

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Answer:

[A] The corresponding sides of the triangles are congruent.

[B] The corresponding angles of the triangles are congruent.

[C] The triangles have the same size.

[D]  The triangles have the same shape.

Step-by-step explanation:

SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.

In Order for two triangles to be congruent must have the following below:

  1. Two figures are said to be congruent if they have same size and same shape.
  2. If two figure are congruent that means the corresponding sides will also be congruent.
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Hence, base on the given all the following are correct:

A. The corresponding sides of the triangles are congruent. √

B. The corresponding angles of the triangles are congruent. √

C. The triangles have the same size. √

D. The triangles have the same shape. √

<u><em>Kavinsky</em></u>

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2 years ago
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A. Left skewed<br> b. Right skewed<br> C. Symmetric<br> d. Symmetric with<br> outliers
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A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat
Virty [35]

Answer:

a) P (x,y) \approx (0.1,1.05), b) P(x,y) = (0.07,1.04).

Step-by-step explanation:

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P (x,y) \approx (0.1,1.05)

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

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The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

1 - 14\cdot x = 0

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According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

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The exact solution is P(x,y) = (0.07,1.04), indicating that graphic solution leads to a good approximation.

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What are the solution(s) of the quadratic equation 98 – x2 = 0
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