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topjm [15]
3 years ago
11

Graph the line with the equation y = 1/6x+3

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Step-by-step explanation:

There isnt even a graph shown to graph on lol

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What is a correct equation for the line passing through the point (-2,1) and having slope m=1/2
frez [133]

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We ahve the slope m = 1/2 and the point (-2, 1). Substitute:

y-1=\dfrac{1}{2}(x-(-2))

y-1=\dfrac{1}{2}(x+2) - point-slope form

Covert to the slope-intercept form (y = mx + b):

y-1=\dfrac{1}{2}(x+2)          <em>use the distributive property</em>

y-1=\dfrac{1}{2}x+1          <em>add 1 to both sides</em>

y=\dfrac{1}{2}x+2   - slope-intercept form

Convert to the standard form (Ax + By = C):

y=\dfrac{1}{2}x+2     <em>multiply both sides by 2</em>

2y=x+4        <em>subtract x from both sides</em>

-x+2y=4         <em>change the signs</em>

x-2y=-4   -  standard form

Convert to the general form (Ax+By+C=0):

x-2y=-4        <em>add 4 to both sides</em>

x-2y+4=0   - general form

5 0
4 years ago
Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
Write a polynomial that represents the area of the shaded region.
Arada [10]

Answer:

10x-22

Step-by-step explanation:

((x+2)(x-1))-((x-4)(x-5))

(x^2-x-2)-(x^2-9x+20)

     x^2 + x - 2

+  (-x^2+9x-20)

_______________

       10x-22

6 0
3 years ago
Find the slope of the line<br> (2,3) (13,8)
alexandr1967 [171]

Answer:

\boxed{m=\frac{5}{11}}

Step-by-step explanation:

\left(2,\:3\right)\:\left(13,\:8\right)

\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:3\right)

\left(x_2,\:y_2\right)=\left(13,\:8\right)

Slope(m)=\frac{8-3}{13-2}

m=\frac{5}{11}

6 0
2 years ago
tim has 20 peaches. he bought each peach for $3. he sold each peach for $4. how much did he make from selling each peach?​
maria [59]

Answer: He had $80 after selling those peaches.

----------------------------------------------

He had $60 worth of peaches.

He sold each one for $4.

Add a 4 to each peach that he has.

Or just do 4x20=$80.

8 0
3 years ago
Read 2 more answers
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