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Arada [10]
3 years ago
10

Which of the following equations represents a line that is perpendicular to y = -4x + 9 and passes through the point, (4, 5)?

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is equal to -1.

In this exercise is given the equation of a line and a point, and is asked to find the equation of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is -4, which means that the slope of a line perpendicular to this one, needs to be 1/4. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                Substitute the values of the given point and slope
5=1/4(4)+b           Combine like terms
5=1+b                  Subtract 1 in both sides to isolate b
4=b

The equation of the line perpendicular to y=-4x+9 and that passes through the point (4,5) is y=1/4+4.




You might be interested in
What is the m∠N ? Can someone help me :)
Sauron [17]

Answer:

<h2>61°</h2>

Step-by-step explanation:

Use the sine law:

\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}

We have:

MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924

Substitute:

\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}         <em>cross multiply</em>

6\sin(\angle N)=(18)(0.2924)

6\sin(\angle N)=5.2632          <em>divide both sides by 6</em>

\sin(\angle N)=0.8772\to m\angle N\approx61^o

4 0
3 years ago
A. Identify the error. *
san4es73 [151]

Answer:

Step-by-step explanation:

The range, in a layman language, is a set of values for which f(x) exist. Hence suppose our pre-image is 0-6,and since f(x)=20x+4 ,then

When x=0, f(x)= 4

When x=1, f(x)=24

When x=2, f(x)=44

When x=3, f(x)= 64

When x=4, f(x)=84

When x=5,f(x)=104

When x=6, f(x)=124

Hence the answer is B.

8 0
3 years ago
Un avion sale de Córdoba con destino a Estados Unidos realiza escalas en Chile y en Bolivia la capacidad del avión es de 507 pas
Dahasolnce [82]

Answer:

386 passengers arrive at Estados Unidos.

386 pasajeros aterrizará en Estados Unidos.

Step-by-step explanation:

English Translation

A plane from Córdoba bound for Estados Unidos and makes stops in Chile and Bolivia. The plane has a capacity for 507 passengers. He leaves the Córdoba airport with 119 empty seats. In Chile 33 passengers go down and 121 go up. In Bolivia 129 go down and 39 go up. How many arrive in Estados Unidos?

- The plane has capacity for 507 passengers.

- 119 seats are empty when it leaves Córdoba.

Meaning that there were (507 - 119) passengers on board = 388 passengers

- In Chile 33 passengers go down and 121 go up.

Number of passenger become

388 - 33 + 121 = 476 passengers

- In Bolivia 129 go down and 39 go up.

Number of passengers become

476 - 129 + 39 = 386 passengers.

Hope this Helps!!!!

7 0
3 years ago
Please help, I’ll mark brainiest
diamong [38]

The translation is 5 up and 5 to the right

8 0
4 years ago
Please answer this question ..
Yanka [14]

Answer:

plz mark brainliest if it is correct ✌️✌️

6 0
3 years ago
Read 2 more answers
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