The point Q has coordinates (2,3)
The point R has coordinates (a, b)
A line perpendicular to QR is given by the equation 5x + 2y = 9
Find an expression for b in terms of a. W

Answers

Answer 1

Answer:

b= (2a+11)/5

Step-by-step explanation:

5x + 2y = 9

2y=9-5x

y= 9/2 - 5x/2

slope, m1= -5/2

for perpendicularity, m1 × m2 = -1

slope for QR= m2=

[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]

m2 is 2/5

[tex]qr = \frac{b - 3}{a - 2} [/tex]

[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]

5(b-3)=2(a-2)

5b-15=2a-4

5b=2a-4+15

5b= 2a+11

[tex]b = \frac{2a + 11}{5} [/tex]

Answer 2

An expression for b in terms of a is b = (2a + 11)/5.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.

So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).

We know slope m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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Related Questions

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Answer: 273 degrees kelvin =  -0.15 degrees celsius

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Answer: 45.9

Step-by-step explanation: its right trust

Answer:

45 9/10 0r 45.9

Step-by-step explanation:

0.54 * 85

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Answer:

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Step-by-step explanation:

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A

Step-by-step explanation:

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Step-by-step explanation:

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It’ll take 13 weeks.

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i believe DEC is 70 degrees

Problem 3
The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
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What is the total including tax and tip?

Answers

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which of the following types of electromagnetic radiation has the shortest wavelength
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Solve the equation: х -5 = (-13)
6 ​

Answers

Answer:

-73

Step-by-step explanation:

6 x (-13) = -78

x - 5 = -78

x = -78 + 5

x = -73

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Please help!

Answers

Answer:

94

Step-by-step explanation:

the sum of the angles in a triangle add up to equal 180

180-73-13=94

Answer: X = 89°

Step-by-step explanation:

At first glance I could tell this was an isosceles triangle, the angles of an isosceles triangle add up to 180°. So just add 73° + 13° = 91° so then you subtract 91° from 180° and you get 89°.

Potatoes are on sale at both grocery mart and Baldwin hill market and grocery mart a 5lbs bag cost 2.85 and Baldwin they a 7lbs bag cost 4.20

Answers

Answer

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Step-by-step explanation:

I think you want to know which store is better so it is

f(x)=3•2^x for x = 5
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Please help!!!

Answers

Answer:[tex]\boxed{\boxed{\sf{96}}}[/tex]Solution Steps:

______________________________

1.) Calculate 2 to the power of 5:[tex]2^5=32[/tex]

 - When calculating powers, you take the base and multiply by the base however what the number of the exponent is. In this case the base is 2. So you do 2 × 2 × 2 × 2 × 2 = 32.

2.) Multiply 3 and 32:[tex]3[/tex] × [tex]32=96[/tex]

So your answer is [tex]\bold{96}[/tex].

______________________________

WILL GIVE BRAINLIEST-
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Answers

6x^3 -24x^2 24x
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Answers

Answer:

D. 71

Step-by-step explanation:

Plug 7 into f

(7)^2 + 2(7) + 8

then solve

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Hope this helps!~

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Good Luck!~

Answer:

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Step-by-step explanation:

Correct on EDGE 2021!

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160 in2
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Answers

Answer:

Pretty sure its 256 in2

Step-by-step explanation:

did the iready test

By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Factor of 45 = 3 × 3 × 5.

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Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:

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Which point best indicates the location of V45on the number line below?
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Answers

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Answers

Answer:

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need brainliest pls..

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Answers

Answer:

Onaje is correct.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

a = 7

35/a

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Answers

Answer:

Step-by-step explanation:

There are 240 boxes with 25 bags each. If each bag weighs 0.69 kg. What is the weight of coffee?

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Step-by-step explanation:

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Answers

Step-by-step explanation:

8.35 < 3x + 18.75

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