3 years ago

Given the slope of the line (y-2)=3(x+1) what is the slope

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Your answer will be 3.

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Lady_Fox [76]

I think B :(

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2 years ago

Given three positive integers a, b and c such that a² + b² - c² = 1. Let the number of triangles formed with sides a, b and c wi

Akimi4 [234]

Answer:

Step-by-step explanation:

Count pairs (a, b) whose sum of squares is N (a^2 + b^2 = N)

Given a number N, the task is to count all ‘a’ and ‘b’ that satisfy the condition a^2 + b^2 = N.

Note:- (a, b) and (b, a) are to be considered as two different pairs and (a, a) is also valid and to be considered only one time.

Examples:

Input: N = 10

Output: 2

1^2 + 3^2 = 9

3^2 + 1^2 = 9

Input: N = 8

Output: 1

2^2 + 2^2 = 8

8 0

3 years ago

Can someone help me with this?

Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

3 0

2 years ago

in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi

hammer [34]

Area of circle = $\frac{ \theta }{360^o} \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o} \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.$

3 0

3 years ago

The top deck of a boat is 9.5 feet above the surface of a lake, while the bottom of the boat is 24 feet below the surface of the

ss7ja [257]

9.5 feet + 24 feet = 33.5 feet

Ans: 33.5 feet

4 0

3 years ago