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Marat540 [252]
3 years ago
6

What is the value of x in the rhombus below?

Mathematics
2 answers:
beks73 [17]3 years ago
8 0
3x+2+4x-10=180\\
7x=188\\
x\approx27


lara [203]3 years ago
4 0
The diagonals of a rhombus bisect<span> each other at </span>right angles (90°) and in a triangle, the three interior angles always add to 180°  ⇒

3x + 2 + 4x - 10 + 90 = 180
7x + 82 = 180
7x = 180 - 82
7x = 98
x = 98/7
x = 14
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Answer:  

  • Part (a) Vertex = (-3, -1)
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  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

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The a and b values are plugged into the formula below to get

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h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

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y = -32 + 64 - 27

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We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

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The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

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If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

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2 years ago
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Answer:

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Answer:

a) the numerator, <em>a</em>, would be a smaller number than the denominator, <em>b.</em>

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