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ser-zykov [4K]
3 years ago
7

Find the midpoint between (4,-1) and (3,2)

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Midpoint has form of,

M(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

We can insert the data,

M(\dfrac{4+3}{2},\dfrac{-1+2}{2})

Which simplifies to,

\boxed{M(3.5, 0.5)}

Hope this helps.

r3t40

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How many solutions do the TWO equations have?
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Answer:

Below.

Step-by-step explanation:

15y + 12x = 18

5y + 4x = 6

The  second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24          Rearranging the second equation:

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4x + 6y = 24      

- we see that the last equation is -1 * previous equation.

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3 years ago
PLEASE HELP!! SHOW WORK! &lt;3<br> Find the area of this figure. Dimensions are in meters.
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Answer:

  2√46 + 25π/4 ≈ 33.2 . . . . m²

Step-by-step explanation:

The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...

  h = √((5√2)² - 2²) = √46

Then the area of the triangle shown is ...

  A = (1/2)bh = (1/2)(4)(√46)

  A = 2√46

__

The area of the semicircle is given by the formula ...

  A = (1/2)πr²

Filling in the radius shown, the area is computed as ...

  A = (1/2)π(5√2/2)² = 25π/4

So, the total area of the figure is ...

  total area = triangle area + semicircle area

  = 2√46 + 25π/4 . . . square meters

  ≈ 33.2 . . . square meters

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Read 2 more answers
Express 2x squared - 3x - 5 as the product of two binomial factors
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Answer:

(2x - 5) (x + 1)

Step-by-step explanation:

2x2 - 3x - 5 = 0

(2x - 5) (x + 1) = 0

4 0
2 years ago
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