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Phoenix [80]
3 years ago
5

Write an equation of the circle with center (-3, 4) and radius 6.

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

(x+3)²+(y-4)²=36.

Step-by-step explanation:

For this, we need to use the equation of a circle which is:

(x-h)²+(y-k)²= r²

Simply substitute the center values for 'h,k', and the radius for 'r'.

This will give you:

(x+3)²+(y-4)²=36.

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The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se
tatuchka [14]
Answer: 294√3

Explanation:


1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a


2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3  / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
8 0
3 years ago
How can you determine the slope and the y- intercept of a line from a graph?
Molodets [167]
Slope: Take two points from the graph, and do y-y, over x-x.

for ex. (1,2) and (2,4) do 4-2 over 2-1. your slope is 2/1= 2


y-intercept: find the one point on the graph that is exactly on the y-axis.

for ex. (4,0)= your y-intercept is 4
6 0
3 years ago
4. 7 + 14x<br> What does that mean
kotegsom [21]

7 + 14x means that a number x (x could be any real number) times 14 is added to 7.

So if x = 2:

7 + 14x = 7 + 14(2) = 28 + 7 = 35

Happy to help!

8 0
3 years ago
Read 2 more answers
NEEDS TO BE DONE TODAY SOMEONE PLEASE
eduard

Answer:

Step-by-step explanation:

16.

RT=17.885

RS=9.741

Angle T=33°

17

AB=7.077

Angle B= 47.291°

Angle A= 42.709°

19

∠A = 180° - B - C = 1.36944 rad =

A=78.463°

8 0
3 years ago
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
andriy [413]

Answer:

SA = 56 sq mi

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

SA = 16 + 1/2(16)(5)

SA = 16 + 8(5)

SA = 16 + 40

3 0
2 years ago
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