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zysi [14]
3 years ago
6

Whats the area of this figure: (-5,3)(0,-1)(4,4)

Mathematics
1 answer:
horsena [70]3 years ago
8 0

The given figure is a triangle.

Let points be P(-5,3), Q(0,-1) and C(4,4)

Using coordinate geometry we can determine the area by:

Area = Mod (\frac{Px * (Qy - Ry) + Qx * (Ry - Py) + Rx (Py - Qy)}{2})

Px, Qx, Rx refers to x coordinates of point P, Q and R, respectively

Py, Qy, Ry refers to y coordinates of point P, Q and R, respectively

Substituting the values in the area formula:

Area = Mod (\frac{(-5)*(-1-4) + 0*(4-3) + 4* (3-(-1))}{2})

⇒ Area = Mod (\frac{-5*-5 + 0 + 4 * 4}{2}

⇒ Area = Mod (\frac{41}{2})

⇒ Area = 20.5 sq. units

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26

Step-by-step explanation:

both bottoms corners are equal lengths so the other length has to be 26 since the other length is 26.

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3 years ago
There are 24 pens in a desk drawer the cans are either red or blue the ratio of red pens to blue pens is 521 how many red pens a
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Find the indicated sum of each sequence S8 of -2,-13,-24,-35
valentina_108 [34]

Answer:

The sum of the arithmetic sequence is S_{8}=-324.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant.  In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is a_1 and the common difference is d, then the nth term of the sequence is given by:

                                                  a_{n}=a_{1}+(n-1)d

For the sequence

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The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence.  We find the sum by adding the first, a_1 and last term, a_n, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

<em>                                                     </em>S_{n}=\frac{n}{2}(a_{1}+a_{n})<em />

The sum of the arithmetic sequence is

a_{8}=-2+(8-1)(-11)=-2-77=-79

S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324

3 0
3 years ago
If the equation of a circle is (x - 2)2 + (y-6)2 = 4, it passes through point
san4es73 [151]

(x - 2)² + (y - 6)² = 4

You can be certain about one thing just by looking at the equation (2, 6) is the center, so, obviously the circle isnt going through this point

Since the radius is 2 if we don't move from y = 6 we have points in (0, 6) and (4, 6)

So alternative b.

To be more certain just subs the point in the x and y, if its equal, it pass through

(x - 2)² + (y - 6)² = 4

To point (4, 6)

(4 - 2)² + (6 - 6)² = 4

(2²) + 0² = 4

4 = 4

Thats right

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He has 11 quarters and 16 dimes
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