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melisa1 [442]
3 years ago
12

Point A is at (-5, -4) and point B is at (5, -3).

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

(0, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2} (x₁ + x₂ ), \frac{1}{2} (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(5, - 3)

midpoint = [ \frac{1}{2} (- 5 + 5), \frac{1}{2} (- 4 - 3 ) ] = (\frac{1}{2} (0), \frac{1}{2} (- 7) ) = (0, - 3.5 )

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5√48-4√27-2√108+√147
irakobra [83]

Answer:

3\sqrt{3}

Step-by-step explanation:

8 0
3 years ago
5. The point (-2, -3) is rotated 90 degrees counterclockwise using center (0, 0).
SSSSS [86.1K]

B. (−3, 2)

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7 0
3 years ago
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The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y
Lelechka [254]

Given the next quadratic function:

y=2x^2+3x-2

to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

x_V=\frac{-b}{2a}

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

\begin{gathered} x_V=\frac{-3}{2\cdot2} \\ x_V=-\frac{3}{4}=-0.75 \end{gathered}

The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

6 0
1 year ago
The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate precription. how much total drug did the pharmacist use
FromTheMoon [43]

Answer: 700.067 g

Step-by-step explanation:

Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.

We know that 1 gram= 1000 milligram

and 1 kilogram = 1000 grams

Then, By UNITARY METHOD, \text{1 mg}=\dfrac{1}{1000}\text{ gram}

Now, We convert each amount of drug into grams as ,

67\ mg=67\times\dfrac{1}{1000}\ g\\\\=0.067\text{ g}

AND

0.6\ kg=0.6\times100=60\text{ g}

Now, the total drug used by Pharmacist (in grams) = 0.067+100+600=700.067\ g

Hence, Pharmacist used 700.067 g of total drug.

8 0
3 years ago
A diver starts at the surface of the water and travels 8 feet to the bottom.
Sauron [17]

Answer:

On the graph B, at 0 seconds the graph will be <u>at y=0.</u>

The graph will be <u>going down</u> until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.

Step-by-step explanation:

In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.

Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.

7 0
3 years ago
Read 2 more answers
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