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3 years ago

The question is the picture thanks for helping

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

Answer is option b)

Answer is given below with explanations.

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

oee [108]3 years ago

8 0

Answer:

The answer is option B

Equation of a line is y = mx + c

Where

m = slope

From the equation y = - 4x - 6

Slope = - 4

Since the lines are perpendicular to each other the slope of the other line will be the negative inverse of the original line

That is

m = 1/4

Equation of the line using point ( - 4 , 10) is

y - 10 = 1/4(x + 4)

y - 10 = 1/4x + 1

y = 1/4x +1 + 10

y = 1/4x + 11

That's option B

Hope this helps

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Question 1 A=lw for l=6, w=12 A=? question 2 d=rt for r=25, t=11 D=?

galben [10]

Answer:

Question 1: Area=72 units

Question 2: D=275 units

Step-by-step explanation:

For question 1, you multiply the length, which is 6, by the width, which is 12 and you get 72 as your area. For question 2, you multiply 25 by 11 to get D.

4 0

3 years ago

The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x

liberstina [14]

Answer:

Domain: set of all real numbers

Range: $y \geq -5$

Step-by-step explanation:

We have to find the domain and range of the function:

$f(x) =5x^2+10x$

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form $ax^2+bx+c$ has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

$x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1$

Note: value of a is "5" and b is "10"

Now, we plug this into the function to find the minimum value:

$f(x)=5x^2+10x\\f(-1)=5(-1)^2 +10(-1)\\f(-1)=-5$

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3 years ago

An elevator in a mine shaft is stopped at a .25 feet below ground level. And then travels 28 feet downward. What equation can be

ankoles [38]

Correct question:

An elevator in a mine shaft is stopped at 25 feet below ground level. And then travels 28 feet downward. What equation can be written to find the final position in feet of the elevator in relations to ground level?

Answer:

-53 feets

Step-by-step explanation:

Initial stop point = 25 feets below ground level

Further distance traveled = 28 feets below ground level

Final position in feet = Initial stop point + further distance traveled

Note : distances or point traveled below ground level or downward is represented as negative.

Final position in feets = (-25)feets + (-28)feets

Final position in feets = - 53 feets

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3 years ago

What is the length of the hypotenuse? A 55 ft B 48 ft C = ? feet

oee [108]

I think hypotenuse is A 55 feet

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2 years ago

Read 2 more answers

What is the answer to -6(a+8)

Dafna11 [192]

Answer: -6a-48

Step-by-step explanation:

First -6 goes into a and that turns into -6a and then -6 goes into 8 and that turns into -48 so ur answer would be: -6a-48

ur welcome

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3 years ago