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3 years ago

An equation of a line through (-1,4) which is perpendicular to the line y=4x + 1 has slope - 1/4 and y-intercept

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

Answer:

y intercept is 3.5 or 3 1/2

Step-by-step explanation:

y=mx+b

substitute the ordered pair (-1,4) in place for y and x in the equation; substitute the slope of -1/4 in place of m to solve for "b"

4= -1/4(-1) +b

4= 2/4+b

subtract 2/4 from both sides

b= 3 2/4 which reduces to 3 1/2 or in decimal form 3.5

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Move the numbers to the blanks to order them from least to greatest value. -0.1 9/8 10 5/6 -0.02

Dmitriy789 [7]

Answer:

-0.1, -0.02, 5/6, 10, 9/8

Step-by-step explanation:

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3 years ago

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Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

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3 years ago

suppose you multiply a fraction Less than 1 by the mixed number 2 and 3/4 will the product be less greater or equal to 2and3/4

Sergio [31]

Fraction less than one means tak a part out of it
if yo take something out of something else, it becomes smalller

therefor the produce is less than

less than is answer

6 0

3 years ago

A soldier started patrolling around his camp at 22 30 . His patrol lasted 3 hours and 20 minutes .What time did his patrol end

baherus [9]

Answer:01 50 Hrs

Step-by-step explanation:

If the soldier started patrol at 2230 hrs and his petrol lasted for 3 hours and 20 minutes, that means he was on patrol for that time.

The time he finished was therefore:

= 2230 + 320

= 2550

At 24 you begin at 0:00am so:

= 2550 - 2400

= 150

Patrol ended at 0150 hrs

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3 years ago

A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $

mars1129 [50]

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

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