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Kay [80]
3 years ago
12

If the endpoints of `bar(AB)` have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of `bar(AB)`?

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You have the following points given in the problem above:

A(9,8)\\ B(-1,-2)

2. To find the midpoint, you must apply the formula that is used for calculate it. This is:

m=(\frac{x1+x2}{2}, \frac{y1+y2}{2} )

Where:

x1=9\\ x2=-1\\ y1=8\\ y2=-2

3. Now, you must substitute these values into the formula for calculate the midpoint, as following:

m=(\frac{9+(-1)}{2} ,\frac{8+(-2)}{2} )\\ m=(4,3)

Therefore, the answer is: m=(4,3)

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A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 perrl cup. Company D does not have a
bezimeni [28]

Answer:

11 cups

Step-by-step explanation:

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8 0
4 years ago
If f'(0) = 5 and F(x) = f(3x), what is F'(0)?
Llana [10]

Answer:

\displaystyle F'(0) = 15

Step-by-step explanation:

We are given that:

f'(0) = 5 \text{ and } F(x) = f(3x)

And we want to find F'(0).

First, find F(x):

\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]

From the chain rule:

\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}

Then:

\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}

In conclusion, F'(0) = 15.

7 0
3 years ago
Read 2 more answers
How long is the hypotenuse
luda_lava [24]
Answer is 4/cos(60) = 8
3 0
3 years ago
NEED ASAP
nadya68 [22]

Answer:

$0.29

Step-by-step explanation:

Multiply the unit weight ($0.24/ounce) by the weight (1.2 oz.):

$0.24     1.2 oz

.24 * 1.2 = $0.288

So, the rounded answer will be $0.29

5 0
3 years ago
Read 2 more answers
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters 6 meters​? Us
alisha [4.7K]
To find the volume of a cone, you use the formula \pi  r^{2}  \frac{h}{3}.
Radius squared would be 36 in our case and 36 times 3.14 is 113.04. 6 thirds is  also two, so multiply that by two and you would get 113.04 x 2 = 226.08. So, your answer would be 226.08 cubic meters of dirt.
7 0
3 years ago
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