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belka [17]
3 years ago
7

Which of the following represents the equation of the line passing through (-4,5)

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

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John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the gro
kati45 [8]

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

6 0
3 years ago
Solve for w: 2w<9+5w
sertanlavr [38]

Answer:

w > -3

Step-by-step explanation:

2w<9+5w

Subtract 5w from each side

2w-5w<9+5w-5w

-3w <9

Divide each side by -3 remembering to flip the inequality

-3w/-3 > 9/-3

w > -3

5 0
3 years ago
Read 2 more answers
The range of a data set is 18. if the smallest number in the set is 9, What is the largest number?
tankabanditka [31]
Range is the difference between the largest and the smallest variable. If the range is 18 and the smallest number is 9. Add 9 to 18.
9+18= 27. 27 is the largest number.
7 0
2 years ago
Algebra I<br> Evaluate each function. h ( n ) = 2 n − 5 ; Find h ( 2 )
slavikrds [6]

Answer:

h ( 2 ) = - 1

Step-by-step explanation:

<u>Two-Variable Functions</u>

A function expresses the relation between two variables in such a way that for each input for the independent variable n, there one and only one value for the function h(n). If it's explicitly given as an equation, then we can use values for n as we wish, and compute the different values of h(n).

The question provides the following function

h ( n ) = 2 n - 5

We are required to find h(2), which can be computed by replacing n by the value of 2

h ( 2 ) = 2 (2) - 5

h ( 2 ) = 4 - 5

h ( 2 ) = - 1

5 0
2 years ago
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
m_a_m_a [10]

Step-by-step explanation:

y = mx + b

y = -7x + 7

this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.

8 0
3 years ago
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