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Paraphin [41]
3 years ago
10

"Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m

for the slope and b for the y-intercept as needed.)"
Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

Step-by-step explanation:

Formula for the equation of the linear function

(Y-y1)/(x-x1) = m

We will transform it into the equation form

Y= mx + b

Where m = slope=4

b = intercept

(Y-y1)/(x-x1) = m

(Y-y1)/(x-x1) = 4

(Y-y1)= 4(x-x1)

Y-y1= 4x -4x1

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

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Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)
Anon25 [30]

Answer:

A = 27π cm²

Step-by-step explanation:

Area of the shaded region = area of full circle of O - Area of the unshaded sector

= (πr²) - (θ/360*πr²)

Where,

r = 6 cm

θ = 360

Area of shaded region = (π*6²) - (90/360*π*6²)

= (36π) - (¼*π*36)

= 36π - 9π

Area of shaded region = 27π cm²

4 0
2 years ago
Which expression is equivalent to 0.25(2d + 1) ? please help meh
wolverine [178]

Answer:

I think it is 0.50d + 0.25

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Work out m and c for the line: 3 y + 6 x = − 3
Usimov [2.4K]

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
  • c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

8 0
3 years ago
How do I find the value of x
juin [17]
You set (x+15) equal to 40 and solve for x.

x+15=40
  -15   -15

x=25

Hope this helps!
8 0
3 years ago
a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?​
Reil [10]

Answer:

1/6

Step-by-step explanation:

if 1/3 is for a whole batch and you want to make a half batch. So, divide 1/3 by 2.

4 0
3 years ago
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