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hram777 [196]
3 years ago
8

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

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Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm th
Wittaler [7]

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

V=\pi r^2h

Where, r = radius

h = height

Put the value into the formula

V=\pi\times(2)^2\times13

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Hence, The volume of the cylinder is 163.3 cm³.

6 0
3 years ago
16. Solve the equation. Check the solution.
harina [27]
Hi there

a/(a² - 36) + 2/(a-6) = 1/(a+6)
a/(a+6)(a-6) + 2/(a-6) = 1/(a+6)
Now we need to multiply the terms by (a+6)(a-6)
a + 2(a+6) = 1(a-6)
a + 2a + 12 = a - 6
3a + 12 = a - 6
3a - a = -6 - 12
2a = -18
Divide both sides by 2
2a/2 = -18/2
a = -9
Thus, The correct option is A


I hope that's help !

Good luck !

 
8 0
3 years ago
Help me please solves this my math teacher will yell at me if I don’t get this done!!!
VARVARA [1.3K]
The answer is 75

First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.

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5 0
3 years ago
A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
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Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
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25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
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5 0
3 years ago
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kozerog [31]

Answer:

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