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saw5 [17]
3 years ago
12

Write an equation of the line that has a slope of 2 and passes through the point (-5,1)

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

y = ax+b

*Slope of 2

a = 2

y = 2x + b

Point (-5,1):

1 = 2*-5 + b

1 = -10 + b

b = 11

y = 2x+11

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After 7 years there will be $11358.24 in the account.
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find the mean and median of the data set. if necessary, round to the nearsest houndreth. 27, 28, 32, 27, 26, 31, 29, 26​
Zina [86]

Answer:

Median = 27.5 Mean = 28.25

Step-by-step explanation:

3 0
3 years ago
Determine a series of transformations that would map Figure D onto Figure E.
PSYCHO15rus [73]

Answer:

According to the diagram,  is the polar angle (the "vertical" angle made with the positive z-axis) and  is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take

Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where

Step-by-step explanation:

3 0
3 years ago
Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
2 years ago
Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.
Sliva [168]

Answer:

17.38*10^8

Step-by-step explanation:

Step one:

given data

The  dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)

divisor is 0.013.

Step two:

Hence the quotient is the whole number gotten when the dividend is divided by the divisor

quotient= 2.26*10^8/0.013.

quotient= 17.38*10^8

5 0
2 years ago
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