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kumpel [21]
3 years ago
9

What are the coordinates of the midpoint of the line segment with endpoints 2,5 and 4,-7

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0
<h3>Answer:   (3, -1)</h3>

===============================================

Explanation:

The midpoint formula is (x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

This basically says to add the corresponding coordinates and divide by 2.

The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.

The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.

So overall the midpoint is located at (3, -1)

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△ABC  is a right triangle with right angle C. Side AC is 6 units longer than side BC . If the hypotenuse has length 52–√ units,
Evgesh-ka [11]

Answer:

AC = 7.12 units

Step-by-step explanation:

A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.

a² + b² = c²

x² + (x+6)² = √52²

x² + x² + 12x + 36 = 52

2x² + 12x - 16 = 0

You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.

The quadratic formula is x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}.

Substitute and you'll have:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-12+/-\sqrt{12^2-4(2)(-16)} }{2(2)}=\frac{-12+/-\sqrt{144+128} }{4)}

\frac{-12+/-\sqrt{272} }{4}=\frac{-12+/-16.5 }{4} = 1.12, 7.13

Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem

Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.

AC = 1.12 + 6 = 7.12

6 0
4 years ago
2.3 x (4 + 12) help plzzzzzzzzzzzxzzzzzzzzxzzzzzxxxzzzzzzzz
Cloud [144]
Do the parentheses first so 12 + 4 = 16

2.3 x 16 = 36.8

The Answer is 36.8
Hope I helped! ( Smiles )
5 0
3 years ago
Read 2 more answers
There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US depa
SashulF [63]

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

-------------------

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

-------------------------

If a 50-year-old female purchases the policy, what is her expected value?

 

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

==================================================

Cheers,

ROR

3 0
3 years ago
What is the number 100 before 2,589?
scoray [572]
Uhh yes it is wayyy before 2,589 I believe
5 0
3 years ago
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Which of the following equations is equivalent to −6x+2y=24?
s344n2d4d5 [400]

Answer:

The choice three ;

y = 3x + 12

Step-by-step explanation:

- 6x + 2y = 24 \\ 2y = 24 + 6x \\ \\ y = \frac{24 + 6x}{2}   \\  \\ y =  \frac{24}{2}  +  \frac{6x}{2}  \\  \\ y = 12 + 3x

3 0
3 years ago
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