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Answer:

[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Step-by-step explanation:

Given that the reference line is y = 2x - 3, with a slope of  [tex]m_{reference} \ = \ 2[/tex].

We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,

[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].

Thus,

[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]

Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is

[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

108/72  x 100% = 150%

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8

Answer:

Put away guns in a lockbox that is secure and in a discrete location.

Have a good day <3

Answer:

119.32 miles

Step-by-step explanation:

radius=19 miles

circumference =2×3.14×19 miles

The circle's circumference 119.32 miles

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

GIven that,  radius of a circle is 19 miles

we know , circumference of circle = [tex]2\pi r[/tex]

                                                         = [tex]2\pi \cdot19[/tex]

                                                         = 38 (3.14)

                                                         = 119.32 miles

Hence, circle's circumference 119.32 miles

To learn more about the circle's circumference here:

https://brainly.com/question/17009295

#SPJ7

Answer:

  525

Step-by-step explanation:

The demand at a price of 205 is ...

  Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

  Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

  1575 -1050 = 525

The shortage is 525 units.

Answer:

60

Step-by-step explanation:

Answer:

d)

[tex] {i}^{740} [/tex]

Step-by-step explanation:

i¹= i

i²= -1

i³= -i

i⁴= 1

i¹²⁴= i^(124 +0)

i^124 . i^0

i^(4×31) . i^0 = 1³¹. i^0

1.i^0= i^0

= 1

a) i^179= i^(176+3)

i^176 . i³ = i^(4×44) . i³

1⁴⁴. i³ = 1. i³

= -i

b) i^582 = i^(580 + 2)

i^580 . i²= i^(4×145) . i²

1^145 . i²= 1.i²

= -1

c) i^165= i^(164+1)

i^164 . i¹ = i^(4×41) . i¹

1⁴¹ . i¹ = 1.i

= i

d) i^740= i^(740+0)

i^740 . i^0 = i^(4×185) . i^0

1^185 . i^0 = 1. i^0

= 1

i¹²⁴= i^740 = 1

Answer:

18-3(n-1)

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image

Answer:

(any real number, 5)

Step-by-step explanation:

Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = -2x - 4 -(-3x - 2)

-2x - 4 + 3x + 2

x - 2

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

Answer:

pyfoydoye9ye9ye9ts8ts9teo5e

Answer:

Here's one possible solution

Step-by-step explanation:

Double the number and subtract the corresponding value from the sequence

0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5...

        1 + 1 - 0 = 2

      2 + 2 - 0 = 4

       4 + 4 - 1 = 7

       7 + 7 - 1 = 13

   13 + 13 - 2 = 24

 24 + 24 - 2 = 46      ←←←

 46 + 46 - 3 = 89

 89 + 89 - 3 = 175

175 + 175 - 4 = 346

Step-by-step explanation:

here

10^2=8^2+X^2

X^2=100-64

X=√36

X=6

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

[tex]A = \dfrac 12 (b_1 + b_2)h\\\\\implies 2A = (b_1+b_2) h\\\\\implies h =\dfrac{2A}{b_1+b_2}[/tex]

Answer:

I’d say yes.

If you stretched the second shape then I think both shapes would look similar.

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

Answer:

4x + 22

Step-by-step explanation:

Answer:

I'm sorry what?

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side