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3 years ago

Find the midpoint of the segment with the given endpoints. (9,9) and (6,8)

Mathematics

2 answers:

STALIN [3.7K]3 years ago

8 0

Answer:

is there a image

Step-by-step explanation:

i think it would be 4,2

mars1129 [50]3 years ago

4 0

Answer:

The mid-point is (7.5, 8.5).

Step-by-step explanation:

We are given two points (9,9) and (6,8) as the endpoints for a line segment and we are to find the midpoint of this segment.

We know that the formula for finding the mid point is:

Mid point = $(\frac {x_1 + x_1 }{ 2 } ,\frac { y_1 + y_2} {2} )$

So substituting the given values of the coordinates of the endpoints in the above formula to get:

$= (\frac {9 + 6}{2} , \frac {9 + 8}{2} )$

$= (\frac {15}{2} , \frac {17} {2} )$

$=(7.5, 8.5)$

Therefore, the mid-point is (7.5, 8.5).

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Find the fifth roots of 243(cos 240° + i sin 240°).

Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240

r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p

So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0

3 years ago

A small bar of gold measure 40 mm by 25 mm. by 2 mm. Find the volume in cubic millimeters.

vladimir2022 [97]

Answer:

2000 mm^3* .0005oz/1mm^3=1oz

Step-by-step explanation:

v=40mm*25mm*2mm=2000mm^3

7 0

3 years ago

Read 2 more answers

In one week the owner of Carly's Coffeehouse found that the number of orders for bagels was 2/3 the number of orders for chocola

Novosadov [1.4K]

Answer:

210

Step-by-step explanation:

We can write the ratio as ...

bagels : scones = 2 : 3

Then bagels are 2/(2+3) = 2/5 of the total.

# bagels = (2/5)(525)

# bagels = 210

3 0

3 years ago

0.4 to the 6th power

kaheart [24]

.4^6 = .004096 Hoped this helps.

6 0

3 years ago

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Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of di

FromTheMoon [43]

Answer:

The values are c = 2

Step-by-step explanation:

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that

f'(c) = (f(b) - f(a)) / (b - a)

Therefore,

f(x) = x³ - 3 x² is a function that is continuous on [0, 3] and differentiable on (0, 3), so there exists at least one c in (0, 3) such that

f'(c) = (f(3) - f(0)) / (3 - 0) = (0 - 0) / 3 = 0

where

f'(x) = 3 x² - 6 x,

f(3) = 0

f(0) = 0

Thus, since f'(0) = 3 c² - 6 c = 0, which only has one solution in (0, 3), namely c = 2 ( since the other solution, c = 0, is not in the open interval).

4 0

3 years ago

Find the midpoint of the segment with the given endpoints. ​ (9​,9​) and ​(6​,8​)

Find the midpoint of the segment with the given endpoints. (9,9) and (6,8)