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2 years ago

The midpoint of AB is M(-2, -1) If the coordinates of AA are (-7, 2) what are the coordinates of B?

Mathematics

1 answer:

Neko [114]2 years ago

8 0

Answer:

(3,-4)

Step-by-step explanation:

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How do you find endpoints of a line segment with a given endpoint and midpoint?

seraphim [82]

In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.

(A + B)/2 = M

So if we are looking for A, we can solve for A and use this modified formula.

(A + B)/2 = M

A + B = 2M

A = 2M - B

Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.

6 0

3 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

-----------------------------------------------------------
$\bf \text {Answer : } 69.77 \cm^3$
-----------------------------------------------------------

6 0

3 years ago

What is the ratio for

sweet [91]

Answer:

12/13

Step-by-step explanation:

By definition, for a right triangle with an internal angle X

sin X = length of opposite side / length of hypotenuse

in this case,

for angle F, the opposite side = GH and the hypotenuse is HF

hence

sin F = GH / HF = 12/13

4 0

2 years ago

Read 2 more answers

Max can stuff 11 envelopes per minute. Jennifer can stuff 3 envelopes every 15 seconds. Joyce can stuff 650 envelopes in one hou

rodikova [14]

Jennifer SHE MAKES 12 Minutes
Max makes 11
And Joyce 10
Answer- Jennifer

4 0

3 years ago

Read 2 more answers

What is the answer to 1 1/10+2 4/5

Lesechka [4]

Answer:

39/10

3 9/10

3.9

Step-by-step explanation:

Convert the mixed number to an improper fraction

7 0

3 years ago