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fgiga [73]
3 years ago
8

What is the vertex form of y=-1/2x^2 -2x -3?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

y = − 1 2 ⋅ ( x + 2 ) 2 − 1

Step-by-step explanation:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. Equation in y = ax2 + bx + c form.

Very glad I could help you!1

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A rectangle has a vertices( 0,0) (3,0) and ( 0,6). what is the area of the rectangle
atroni [7]
18 units squared multiply 6 times 3 to get this answer- 18u^2
8 0
3 years ago
Really need help with this pls help!!
worty [1.4K]

Let's carry this math sentence over to its natural, "shapey" element. We're going to look at each term not as an ordinary number, but as <em>the area of some shape</em>.

x² (read as "x <em>squared"</em>) can be seen as the area of a square with side lengths of x. 2x can similarly be seen as the area of a <em>rectangle </em>with a length of x and a width of 2. (Picture 1)

What's our question actually asking, though? Something about <em>perfect squares</em>. More specifically, we're looking for something to add on that'll <em>make this thing a perfect square</em>. We're trying to find a missing piece we can slot in to make a square, in other words. Problem is, our shapes don't look much like a square if we put them together right now. We need to do a little cutting and gluing first.

First, we're gonna cut the 2x rectangle lengthwise, getting two rectangles with an area of x, a length of 1, and a width of x. Next, we're going to attach them to the x² square, creating this shape that looks, strangely, like a square with a little bit missing from it (picture 2). What we're trying to do is <em>complete this square, </em>to find the area of that little missing chunk.

As it turns out, we have all the information we need for this. Notice that, using the lengths of the x rectangles, we can find that the square's dimensions are 1 x 1, which means that its area is 1 x 1  = 1.

If we tack this new area on to our original expression, we've "completed the square!" We now have a perfect square with side lengths of (x + 1) and an area of (x + 1)² (picture 3).

So, our final expression is x² + 2x + 1, and the missing constant - the area of the "missing square" we had to find to complete our larger one - is 1.

5 0
3 years ago
Read 2 more answers
M and m<br> A) -9<br> C) 0<br> B) 10<br> D) -10<br> A<br> B<br> C С<br> D
Mademuasel [1]

Answer:

B

Step-by-step explanation:

∠ BSR + ∠ TSB = ∠ TSR , substitute values

2x + 17 + 5x + 15 = 102 , that is

7x + 32 = 102 ( subtract 32 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10 → B

8 0
3 years ago
Who Else thinks this is true bhahahahah
Ilya [14]
Hello! Thank you for the points.
4 0
2 years ago
Read 2 more answers
Please answer correctly<br><br> 2 + 3( 4x + 5) = -53
andre [41]

Answer:

x=-35/6

Step-by-step explanation:

2 + 3( 4x + 5) = -53

subtract 2 from both sides= 3(4x+5)=-55

divide both sides by 3 = 4x+5=-55/3

subtract both sides by 5 = 4x=-70/3

divide both sides by 4 = x=-35/6

x=-35/6 is your final answer

4 0
2 years ago
Read 2 more answers
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