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3 years ago

20th term of 12, 15, 18, 21

Mathematics

1 answer:

Rainbow [258]3 years ago

7 0

Answer:

Step-by-step explanation:

The rule: 3n+9

n=20

3(20)+9

60+9

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If A and B are two points having coordinates (- 2, 2) and (2,-4) respectively, find the coordinates of P such that AP= AB.

Karo-lina-s [1.5K]

Answer:

(0,1)

Step-by-step explanation:

The mid point of A(-2,2) and B(2,-4) is the coordinates of point P, which is (x,y)

Hence, the line AB = AP + PB.

At point AP: x = (-2+2)/2 = 0

also, point PB: y = (2 - 4)/2 = -1

Therefore, coordinates of point P = (0,-1)

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3 years ago

The graph of the function f(x) = x3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown. Which ex

Alisiya [41]

The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.

Therefore, the polynomial can be factored as:

(x - (-2)) * ( x - (-1) ) * (x - 3) = (x + 2)(x + 1)(x - 3).

Answer: (x + 2) (x + 1) (x - 3)

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3 years ago

If AB=9, the diagram blank the case of a degenerate triangle because blank. The case of a degenerate triangle justifies the use

sesenic [268]

Answer:

Step-by-step explanation:

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3 years ago

Which equation can we use to solve the following?<br> 42 · X = 16

Kazeer [188]

Answer:

Divide both sides by 42 then reduce the fraction. The answer is 8/21=0.38

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

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3 years ago