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4 years ago

Select the equation of the line that passes through the point (5,7) and is perpendicular to the x = 4

Mathematics

1 answer:

Kamila [148]4 years ago

3 0

Answer:

y= -1*x +12

Step-by-step explanation:

x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.

Perpendicular Lines are those with the following condition:

y=a*x+b (1)

y=c*x+d (2)

Where a and c are the respective slope

If These two lines are perpendicular, then

a=- 1/c

Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)

Lets use the given point (5,7) in the equation (2)

7=-1 * 5 + d

resulting d=12

so, our equation for the line is y= -1*x +12

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Bill has enough money to buy no more than 1/2 pound of cheese. How much cheese could he buy?

andriy [413]

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4 years ago

The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the

Nataly_w [17]

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3 years ago

Sabrina threw a coin from a building 160 feet high at an initial speed of 30 feet per second. How many seconds will it take the

Mkey [24]

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3 years ago

Question 1: Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the Quadratic Formula. Answers: -1/2 + sqaureroot 5, 1/

Lelechka [254]

Answer:

1. 1/2 +/-√5

2. 1 +/- i √6/2.

Step-by-step explanation:

1. f(x) = 4x^2 - 8x - 1

x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)

x =[ 8 +/- √80] / 8

= 1 +/- 4√5/8

= 1 +/- √5/2

= 1/2 +/-√5

2. By a similar method the zeros of the the second equation are:

x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4

= 4 +/- √(16 - 40) / 4

= 1 +/- √(-24)/4

= 1 +/- i √6 * 2 / 4

= 1 +/- i √6/2.

3 0

4 years ago

Please answer 27 and 28

valina [46]

Answer:

27: 29.93 Seconds

28: 28 ° Fahrenheit

Step-by-step explanation:

Number #27:

Given:

#1 Lap = 14.76 seconds

#2 Lap = 15.17 seconds

Steps:

1. Use the algorithm method.

14.76

+ 15.17

-------------

Answer: 29.93 seconds

--------------------------------------------------------------------------------------

Number #28:

Given:

Wind Chill Temperature: - 18 ° F

Actual Temperature: 10 ° F

Steps:

1. Subtract 18 from 10.

Answer: - 28 ° degrees fahrenheit

Note: Whenever there is a negative sign next to a temperature, it means it's below freezing as the below freezing temperature is 0 ° Fahrenheit. This also means subtraction. In this case, you would subtract the negative amount from the positive amount creating an equation, that equation represents the degrees in fahrenheit:

10 - 18

The result should be -28.

This also means that the difference between both temperatures is 28 degrees. Wind chill creates a feeling of higher temperatures even though the actual temperature in the atmosphere was 10 ° F in this specific land structure.

Hope this helps,

-ROR

4 0

3 years ago