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kirill115 [55]
4 years ago
9

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

hree options.
Mathematics
1 answer:
borishaifa [10]4 years ago
8 0

Answer:

<em>Next time, please upload your option.</em>

The line 5x − 2y = −6 <=> 2y = 5x + 6 <=> y = (5/2)x + 3, has the slope a = 5/2

=> Another line (y = a'x + b) that is perpendicular with this line, must has slope a', that satisfies: a' x (5/2) = -1 => a' = -2/5

=> y = (-2/5)x + b

This line passes (5, -4), then we have:

-4 = (-2/5)*5 + b => -4 = -2 + b => b = -2

=> Solution is y = (-2/5)x -2

Hope this helps!

:)

You might be interested in
Let f(x)=x−4<br> and g(x)=−2x+4<br><br> Find g(f(2))<br><br> 0<br><br> −12<br><br> 8<br><br> −8
marin [14]

Answer:

8

Step-by-step explanation:

This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.

Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))

So first lets find f(2)

f(x) = x - 4

f(2) = 2 - 4

f(2) = -2

g(f(2)) , f(2) = -2 , g(-2)

now lets find g(-2)

g(x) = -2x + 4

g(-2) = -2(-2) + 4

multiply -2 and -2 to get 4

g(-2) = 4 + 4

add 4 and 4 to get 8

g(-2) = 8

We can conclude that g(f(2)) = 8

8 0
3 years ago
Read 2 more answers
( 10 - 2n ) - ( 5n - 8)
stealth61 [152]

Answer:

− 7n+18

Step-by-step explanation:

(10- 2n)- (5n- 8)

− 2n+10-5n+8

-7n+18

4 0
3 years ago
Which graph is an example of a function whose parent graph is of the form y = √x?
Maksim231197 [3]

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

y=\sqrt{x}

1. Domain of the function is all positive real number including 0.

2. Range of the function is all positive real number including 0.

3. It is an increasing function. It increases at decreasing rate.

First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

y=\sqrt{x+4}-1

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.

Second graph is a parabola, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it is the graph of a rational functions.

Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.

Therefore options 2, 3 and 4 are incorrect.

6 0
3 years ago
Read 2 more answers
In the equation y = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20" id="TexFormula1" title=" \frac{x}{3} " alt="
Likurg_2 [28]
                              x
Just rewrite   <span>y = ---- as    y = (1/3)x.  The unit rate is 1/3.
                              3</span>
7 0
3 years ago
Find the value of x<br> x° <br> 66°<br> 117°
pogonyaev

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129       + x = 180

-129             -129

               x = 51

Hope this helps :)

5 0
3 years ago
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