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Juliette [100K]
3 years ago
14

The vertex of this parabola is at (-2, -3). When the x-value is -1, the

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola:  y - k = a(x - h)^2

Here h = -2, k = -3, x = -1, y = -5.  Find a:

-5 - [-3] = a(-1 - [-2])^2, or

-5 + 3 = a(1)^2, or

-2 = a

The unknown coefficient is -2.

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Two consecutive integers have a sum of 53. Find the integers.
Flura [38]

Answer:

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Step-by-step explanation:

Let one of the numbers be x,

Then the two numbers are x and x +1

And,

x+x+1 = 53

2x = 53 - 1 (Transposing 1 from LHS to RHS)

2x = 52

x = 52/2

x = 26

x + 1 = 27

So, The two numbers are 26 and 27.

7 0
3 years ago
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
xxTIMURxx [149]

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

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Step-by-step explanation:

4 0
3 years ago
Which of the following is not an example of like terms?
Viktor [21]

Answer:

A. 2 and-6

Step-by-step explanation:

Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.

So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.

4 0
2 years ago
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AB = 10 in; AD = 6 in <br><br> A= <br><br> 30sqrt3 in2<br> 30 in2<br> 60 in2
Ratling [72]

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula A=\frac{1}{2} ab \sin C.

However, since there are two triangles, we can double this, giving us A=ab \sin C.

So, the area is A=(10)(6)(\sin 30^{\circ})=\boxed{30}

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2 years ago
Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?
HACTEHA [7]

check the picture below.


notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.

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3 years ago
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