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yawa3891 [41]
3 years ago
7

A line passes through the point (-2,3) and has a slope of 5/2

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

y = 5/2x + b

3= 5/2(-2) + b

3= -5 + b

3 + 5 = b

b = 8

y = 5/2x + 8

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Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c
Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is Y=\dfrac12 X-6.

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\dfrac12

Let slope of LG be <em>n</em>, then

n\times \dfrac{1}{2}=-1 [Product of slopes of two perpendicular line =-1]

\Rightarrow n=-2

Equation of a line passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)

Equation of LG :

(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9 [In intercept form]

3 0
3 years ago
The ice cream store sells sundaes. Each sundae costs $2.50 plus $0.35 for each topping. Find the rate of change and initial valu
Kobotan [32]

Answer:

rate of change: $0.35; initial value: $2.50; Equation: y= 0.35x + 2.50

Step-by-step explanation:

The rate of change is $0.35 because it's the one to change the total cost of the ice cream. If you get 3 toppings, you'll end up with 1.05 more dollars than if you had 0 toppings. And because of that, the initial value would also be $2.50, that's the minimum price you'll have to pay if you do want a sundae.

The equation is just restating all that, you start with the inital value b=$2.50, and the price will go up by 0.35 for every topping you add to the sundae.

Hope this helped :)

6 0
3 years ago
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kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on.
Aleksandr-060686 [28]

Answer:

(a) 3d=81

(b) 27

Step-by-step explanation:

every day, kojo write 3 pages

number of days he has written his story= d days

therefore number of pages he has written= 3d

from the final sentence,

3d= 81

<h3>(a) the equation to describe the situation: </h3><h3>3d= 81</h3>

(b) number of days kojo has been writing his story

3d= 81

dividing through by d

3d/3= 81/3

d = 27

<h3>therefore number of days = 27</h3>

4 0
2 years ago
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Nadusha1986 [10]

Answer:

1. 2

2. -3/5

3. Undefined

Step-by-step explanation:

Using the rise over run method you get 4/2, -3/5, and then for the straight vertical line, its undefined.

8 0
3 years ago
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Mnenie [13.5K]

Answer:

90

Step-by-step explanation:

i think it is 90

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3 years ago
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