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Dmitry [639]
2 years ago
11

Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

Mathematics
1 answer:
UNO [17]2 years ago
7 0

Answer:

\large\boxed{y+5=\dfrac{2}{3}(x-4)}

Step-by-step explanation:

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

y-y_1=m(x-x_1)

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)

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A line passes through the point (3,-8) and has a slope of 3. Write an equation in point-slope form for this line.
zepelin [54]

Answer:

y+8 = 3(x-3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1)

y- -8 = 3(x -3)

y+8 = 3(x-3)

4 0
3 years ago
Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her
Drupady [299]

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

8 0
3 years ago
checking account a charges a montly service fee of 3 and a per check fee of .02 while checking account b charges a montly servic
Gnoma [55]

Answer:

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3 0
3 years ago
What value of x would make the figure below a parallelogram? please show your work!​
lara31 [8.8K]

Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

8 0
1 year ago
How do I solve out 5x188
mihalych1998 [28]

Answer:

940

Step-by-step explanation:

 188

<u>×    5</u>

 940

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

8 * 5 = 40

Carry the 4 to the next 8

8 * 5 = 40

Add the 4 to the 40

40 + 4 = 48

Carry the 4 to the 1

1 * 5 = 5

Add the 4

5 + 9

= 940

*Hope this helps .^.*

5 0
3 years ago
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