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3 years ago

If de has endpoints D(-1,6)and E(3,-2),then the midpoint M of DE lies in Quadrant1

1 answer:

7 0

$M(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\M(\frac{-1 + 3}{2}, \frac{6 + (-2)}{2}) \\ M(\frac{2}{2}, \frac{6 - 2}{2}) \\ M(1, \frac{4}{2}) \\ M(1, 2)$

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Alex, Bob, and Cole have a combined weight of 111 kilograms. If Alex weighs 44 kg, and Bob weighs three-forth of Alex's weight,

vlabodo [156]

Answer:34

Step-by-step explanation:

Weight of Alex:44

Weight of Bob:44*(3/4)

=33

Combined weight of all of them:111

Combined weight of Alex and Bob=44+33=77

Cole's weight=111-77 =34

8 0

3 years ago

Please answer I will give brainliest

Eddi Din [679]

Felipe earned 375 dollars each week because if you divide 4,500 to 12.

3 0

3 years ago

1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.

N76 [4]

Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

- The area of the sector which has a central angle Ф° is

(Ф°/360°) × πr², where 360° is the measure of the circle and r is

the radius of the circle

- The area of the sector which has a central angle Ф radians is

(1/2) r²Ф

* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

ratio of the central angle to the measure of a full rotation of the circle

- A full rotation of a circle is 2π. This proportion can written as

A/πr² = Ф/2π

- Multiply both sides by πr² to get A = Ф/2 r² where Ф is the measure

of the central angle and r is the radius of the circle

* Lets revise the rules of the volume of the prism and the volume

of the pyramid, where they have the same base and height

- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

of the prism is 1/3

- The formula of the volume of the prism is V = Bh, where B is the

area of the base and h is the height, the formula of the volume

of the pyramid is V = 1/3 Bh

* Lets revise the standard form of the equation of a circle with

center (h , k) and radius r

- The equation is: (x - h)² + (y - k)² = r²

∴ x² - 2hx + h² + y² - 2ky + k² - r² = 0

∵ x² - 8x + y² - 2y - 8 = 0

- Lets equate the two equation

∴ x² - 2hx + h² + y² - 2ky + k² - r² = x² - 8x + y² - 2y - 8 = 0

∵ -2h = -8 ⇒ ÷ -2

∴ h = 4

∵ -2k = -2 ⇒ ÷ -2

∴ k = 1

∵ h² + k² - r² = -8

∴ (4)² + (1)² - r² = -8

∴ 16 + 1 - r² = -8

∴ 17 - r² = -8 ⇒ subtract 17 from both sides

∴ -r² = -15 × -1

∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

form of the circle

∴ (x - 4)² + (k - 1)² = 25

* The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

8 0

3 years ago

To graph the point (2, 10) on the coordinate plane, start at the origin. Move 2 units _______ and 10 units ________ . 40 points

White raven [17]

Right up for sure bc it moving the units to the left

3 0

3 years ago

Read 2 more answers

Error Analysis Find (4) (-5) (-3) . Use pencil and paper. Describe an error you could make that results in the opposite of the c

photoshop1234 [79]

Answer:

He didn’t do his math right

Step-by-step explanation:

3 0

2 years ago